Researchers Database

YANAGISAWA Taku

    Faculty Division of Natural Sciences Research Group of Mathematics Professor
    Education and Resesrch Council Education and Resesrch Councilors
Last Updated :2021/06/02

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Degree

  • Doctor(Science), Hokkaido University

Research Interests

  • Nonlinear partial differential equations 

Research Areas

  • Natural sciences, Basic analysis

Research Experience

  • Dec. 2010, Professor, Faculty of Science, Nara Women's University
  • Apr. 2007 Nov. - 2010, Associate Professor, Graduate School of Humanities and SAciences, Nara Women's University
  • Apr. 2003 Mar. - 2007, Associate Professor, Graduate School of Humanities and Sciences, Nara Women's University
  • Apr. 1994 Mar. - 2003, Associate Professor, Faculty of Science, Nara Women's University
  • Jul. 1991 Mar. - 1994, Lecturer, Faculty of Science, Nara Women's University
  • Oct. 1986 Jun. - 1991, Assistant Professor, Fuculty of Science, Nara Women's University

Education

  • Apr. 1985, Oct. - 1986, Doctor Course of Hokkaido University, Graduate School, Division of Natural Science, Mathemtics
  • Apr. 1983, Mar. - 1985, Hokkaido University, 理学研究科博士前期課程, 数学専攻
  • Apr. 1979, Mar. - 1983, Hokkaido University, Faculty of Science, Department of Mathematics

Published Papers

  • The Helmholtz–Weyl decomposition of $$L^r$$ vector fields for two dimensional exterior domains

    Matthias Hieber; Hideo Kozono; Anton Seyfert; Senjo Shimizu; Taku Yanagisawa

    Springer Science and Business Media LLC, 21 Jul. 2020, The Journal of Geometric Analysis, doi;url;url

    Scientific journal

  • A characterization of harmonic L^r-vector fields in two-dimensional exterior domains

    M. Hieber; H. Kozono; A. Seyfert; S. Shimizu; T.Yanagisawa

    Jan. 2020, The Journal of Geometric Analysis, 30, 3742 - 3759

    Scientific journal

  • Generalized Lax-Milgram theorem in Banach spaces and its application to the elliptic system of boundary value problems

    Hideo Kozono; Taku Yanagisawa

    We generalize the well-known Lax-Milgram theorem on the Hilbert space to that on the Banach space. Suppose that a(., .) is a continuous bilinear form on the product X x Y of Banach spaces X and Y, where Y is reflexive. If null spaces N-X and N-Y associated with a(., .) have complements in X and in Y, respectively, and if a(., .) satisfies certain variational inequalities both in X and in Y, then for every F is an element of N-Y(perpendicular to), i.e., F is an element of Y* with F(phi) = 0 for all phi is an element of N-Y, there exists at least one u is an element of X such that a(u,phi) = F(phi) holds for all phi is an element of Y with parallel to u parallel to(X) <= C parallel to F parallel to(Y)*. We apply our result to several existence theorems of L-r-solutions to the elliptic system of boundary value problems appearing in the fluid mechanics., SPRINGER, Jul. 2013, MANUSCRIPTA MATHEMATICA, 141 (3-4), 637 - 662, doi;web_of_science

    Scientific journal

  • Global Compensated Compactness Theorem for General Differential Operators of First Order

    Hideo Kozono; Taku Yanagisawa

    Let A1(x, D) and A2(x, D) be differential operators of the first order acting on l-vector functions u = (u1, . . . , u1) in a bounded domain Ω ⊂ ℝn with the smooth boundary ∂Ω. We assume that the H1-norm, is equivalent to, where Bi = Bi(x, ν) is the trace operator onto ∂ Ω associated with Ai(x, D) for i = 1, 2 which is determined by the Stokes integral formula (ν: unit outer normal to ∂Ω. Furthermore, we impose on A1 and A2 a cancellation property such as A1A2′ = 0 and A2A1′ = 0, where Ai′ is the formal adjoint differential operator of Ai(i = 1, 2). Suppose that and converge to u and v weakly in L2(Ω), respectively. Assume also that and are bounded in L2(Ω). If either or is bounded in H1/2(∂Ω), then it holds that. We also discuss a corresponding result on compact Riemannian manifolds with boundary. © 2012 Springer-Verlag Berlin Heidelberg., 2013, Archive for Rational Mechanics and Analysis, 207 (3), 879 - 905, doi

    Scientific journal

  • L^r Helmholtz Decomposition and Its Application to the Navier-Stokes Equations

    Hideo Kozono; Yanagisawa Taku

    edited by Fanghua Lin and Ping Zhang, 2013, Lectures on Analysis of Nonlinear Partial Differential Equations: Part 3, \nMorningside Lectures in Mathematics, International Press, 3, 237-290

    Scientific journal

  • Leray's inequality in general multi-connected domains in R-n

    Reinhard Farwig; Hideo Kozono; Taku Yanagisawa

    Consider the stationary Navier-Stokes equations in a bounded domain whose boundary consists of L + 1 smooth (n - 1)-dimensional closed hypersurfaces I"(0), I"(1), . . . , I" (L) , where I"(1), . . . , I" (L) lie inside of I"(0) and outside of one another. The Leray inequality of the given boundary data beta on plays an important role for the existence of solutions. It is known that if the flux on I" (i) (nu: the unit outer normal to I" (i) ) is zero for each i = 0, 1, . . . , L, then the Leray inequality holds. We prove that if there exists a sphere S in Omega separating in such a way that I"(1), . . . , I" (k) (1 a parts per thousand broken vertical bar k a parts per thousand broken vertical bar L) are contained inside of S and that the others I" (k+1), . . . , I" (L) are outside of S, then the Leray inequality necessarily implies that gamma (1) + center dot center dot center dot + gamma (k) = 0. In particular, suppose that there are L spheres S (1), . . . , S (L) in Omega lying outside of one another such that I" (i) lies inside of S (i) for all i = 1, . . . , L. Then the Leray inequality holds if and only if gamma (0) = gamma (1) = center dot center dot center dot = gamma (L) = 0., SPRINGER, Sep. 2012, MATHEMATISCHE ANNALEN, 354 (1), 137 - 145, doi;web_of_science

    Scientific journal

  • Analyticity for higher order nonlinear dispersive equations

    N. Hayashi; K. Tomoeda; Taku Yanagisawa

    2010, GAKUTO Internat. Ser. Math. Sci. Appl., 32, 111-130

    Scientific journal

  • Global DIV-CURL Lemma in 3D bounded domains

    Hideo Kozono; Taku Yanagisawa

    Nov. 2009, RIMS Kokyuroku Bessatsu B14, 14, 27-33

    Symposium

  • NONHOMOGENEOUS BOUNDARY VALUE PROBLEMS FOR STATIONARY NAVIER-STOKES EQUATIONS IN A MULTIPLY CONNECTED BOUNDED DOMAIN

    Hideo Kozono; Taku Yanagisawa

    We consider the stationary Navier-Stokes equations on a multiply connected bounded domain Omega in R(n) for n = 2, 3 under nonhomogeneous boundary conditions. We present a new sufficient condition for the existence of weak solutions. This condition is a variational estimate described in terms of the harmonic part of solenoidal extensions of the given boundary data; we prove it by using the Helmholtz-Weyl decomposition of vector fields over Omega satisfying adequate boundary conditions. We also study the validity of Leray's inequality for various assumptions about the symmetry of Omega., PACIFIC JOURNAL MATHEMATICS, Nov. 2009, PACIFIC JOURNAL OF MATHEMATICS, 243 (1), 127 - 150, web_of_science

    Scientific journal

  • Global Div-Curl lemma on bounded domains in R-3

    Hideo Kozono; Taku Yanagisawa

    We consider a global version of the Div-Curl lemma for vector fields in a bounded domain Omega subset of R-3 with the smooth boundary partial derivative Omega. Suppose that {u(j)}(j=1)(infinity) and {upsilon(j)}(j=1)(infinity) converge to u and upsilon weakly in L-r(Q) and L-r'(Omega), respectively. where 1 < r < infinity with 1/r + 1/r' = 1. Assume also that {div u(j)}(j=1)(infinity) is bounded in L-q (Omega) for q > max{1, 3r/(3+ r)} and that {rot v(j)}(j=1)(infinity) is bounded in L-s(Omega) for s > max {1,3r'/(3 + r')}, respectively. If either {u(j) center dot v vertical bar partial derivative Omega}(j=1)(infinity) is bounded in W-1-1/q,W-q(partial derivative Omega), or {v(j) x v)vertical bar(a Omega)}(j=1)(infinity) is bounded in W-(1-1)/(S.S) (partial derivative Omega) (v: unit outward nomal to partial derivative Omega), then it holds that integral(u)(Omega)(j) dx -> integral(Omega) u . vdx. In particular, if either u(j) .v = 0 or v(j) x v = 0 on partial derivative Omega for all j = 1, 2.... is satisfied, then we have that integral(Omega)uj . v(j) dx -> integral Omega u . vdx. As an immediate consequence. we prove the well-known Div-Curl lemma for any open set in R-3. The Hemholtz-Weyl decomposition tor L-r (Omega) plays an essential role for the proof. (C) 2009 Elsevier Inc. All rights reserved., ACADEMIC PRESS INC ELSEVIER SCIENCE, Jun. 2009, JOURNAL OF FUNCTIONAL ANALYSIS, 256 (11), 3847 - 3859, doi;web_of_science

    Scientific journal

  • Leray's problem on the stationary Navier-Stokes equations with inhomogeneous boundary data

    Hideo Kozono; Taku Yanagisawa

    Consider the stationary Navier-Stokes equations in a bounded domain whose boundary consists of multi-connected components. We investigate the solvability under the general flux condition which implies that the total sum of the flux of the given data on each component of the boundary is equal to zero. Based on our Helmholtz-Weyl decomposition, we prove existence of solutions if the harmonic part of the solenoidal extension of the given boundary data is sufficiently small in L(3) compared with the viscosity constant., SPRINGER, May 2009, MATHEMATISCHE ZEITSCHRIFT, 262 (1), 27 - 39, doi;web_of_science

    Scientific journal

  • L-r-variational Inequality for Vector Fields and the Helmholtz-Weyl Decomposition in Bounded Domains

    Hideo Kozono; Taku Yanagisawa

    We show that every L-r-vector field on Omega can be uniquely decomposed into two spaces with scalar and vector potentials, and the harmonic vector space via operators rot and div, where Omega is a bounded domain in R-3 with the smooth boundary partial derivative Omega. Our decomposition consists of two kinds of boundary conditions such as u . v|(partial derivative Omega) = 0 and u x v |(partial derivative Omega) = 0, where v denotes the unit outward normal to partial derivative Omega. Our results may be regarded as an extension of the well-known de Rham-Hodge-Kodaira decomposition of C-infinity-forms on compact Riemannian manifolds into L-r-vector fields on Omega. As an application, the generalized Blot-Savart law for the incompressible fluids in Omega is obtained. Furthermore, various bounds of u in L-r for higher derivatives are given by means of rot u and div u., INDIANA UNIV MATH JOURNAL, 2009, INDIANA UNIVERSITY MATHEMATICS JOURNAL, 58 (4), 1853 - 1920, web_of_science

    Scientific journal

  • Asymptotic behavior of solutions to the viscous Burgers equation

    Taku Yanagisawa

    We study the asymptotic behavior of solutions to the viscous Burgers equation by presenting a new asymptotic approximate solution. This approximate solution, called a diffusion wave approximate solution to the viscous Burgers equation of k-th order, is expanded in terms of the initial moments up to k-th order. Moreover, the spatial and time shifts are introduced into the leading order term to capture precisely the effect of the initial data on the long-time behavior of the actual solution. We also show the optimal convergence order in L-p-norm, 1 <= p <= infinity, of the diffusion wave approximate solution of k-th order. These results allow us to obtain the convergence of any higher order in L-p-norm by taking such a diffusion wave approximate solution with order k large enough., OSAKA JOURNAL OF MATHEMATICS, Mar. 2007, OSAKA JOURNAL OF MATHEMATICS, 44 (1), 99 - 119, web_of_science

    Scientific journal

  • Hodge decomposition of L^r-vector fields on a bounded domain and its application to the Navier-Stokes equations

    Taku Yanagisawa

    2007, 数理解析研究所講究録, 1536, 73-86

  • Zero-viscosity limit of the linearized Navier-Stokes equations for a compressible viscous fluid in the half-plane

    ZP Xin; T Yanagisawa

    The zero-viscosity limit for an initial boundary value problem of the linearized Navier-Stokes equations of a compressible viscous fluid in the half-plane is studied. By means of the asymptotic analysis with multiple scales, we first construct an approximate solution of the linearized problem of the Navier-Stokes equations as the combination of inner and boundary expansions. Next, by carefully using the technique on energy methods, we show the pointwise estimates of the error term of the approximate solution, which readily yield the uniform stability result for the linearized Navier-Stokes solution in the zero-viscosity limit. (C) 1999 John Wiley & Sons, Inc., JOHN WILEY & SONS INC, Apr. 1999, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 52 (4), 479 - 541, web_of_science

    Scientific journal

  • The initial boundary value problem for linear symmetric hyperbolic systems with boundary characteristic of constant multiplicity

    M Ohno; Y Shizuta; T Yanagisawa

    KINOKUNIYA CO LTD, Jul. 1995, JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 35 (2), 143 - 210, web_of_science

    Scientific journal

  • NOTE ON GLOBAL EXISTENCE FOR AXIALLY-SYMMETRICAL SOLUTIONS OF THE EULER SYSTEM

    T SHIROTA; T YANAGISAWA

    JAPAN ACAD, Dec. 1994, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 70 (10), 299 - 304, web_of_science

    Scientific journal

  • THE TRACE THEOREM ON ANISOTROPIC SOBOLEV SPACES

    M OHNO; Y SHIZUTA; T YANAGISAWA

    The trace theorem on anisotropic Sobolev spaces is proved. These function spaces which can be regarded as weighted Sobolev spaces are particularly important when we discuss the regularity of solutions of the characteristics initialo boundary value problem for linear symmetric hyperbolic systems., TOHOKU UNIVERSITY MATHEMATICAL INSTITUTE, Sep. 1994, TOHOKU MATHEMATICAL JOURNAL, 46 (3), 393 - 401, web_of_science

    Scientific journal

  • A CONTINUATION PRINCIPLE FOR THE 3-D EULER EQUATIONS FOR INCOMPRESSIBLE FLUIDS IN A BOUNDED DOMAIN

    T SHIROTA; T YANAGISAWA

    JAPAN ACAD, Mar. 1993, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 69 (3), 77 - 82, web_of_science

    Scientific journal

  • THE INITIAL BOUNDARY-VALUE-PROBLEMS FOR LINEAR SYMMETRICAL HYPERBOLIC SYSTEMS WITH CHARACTERISTIC BOUNDARY

    M OHNO; Y SHIZUTA; T YANAGISAWA

    JAPAN ACAD, Jun. 1991, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 67 (6), 191 - 196, web_of_science

    Scientific journal

  • THE FIXED BOUNDARY-VALUE-PROBLEMS FOR THE EQUATIONS OF IDEAL MAGNETO-HYDRODYNAMICS WITH A PERFECTLY CONDUCTING WALL CONDITION

    T YANAGISAWA; A MATSUMURA

    The equations of ideal Magneto-Hydrodynamics are investigated concerning initial boundary value problems with a perfectly conducting wall condition. The local in time solution is proved to exist uniquely, provided that the normal component of the initial magnetic field vanishes everywhere or nowhere on the boundary., SPRINGER VERLAG, 1991, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 136 (1), 119 - 140, web_of_science

    Scientific journal

  • INITIAL BOUNDARY-VALUE PROBLEM FOR THE EQUATIONS OF IDEAL MAGNETO-HYDRO-DYNAMICS WITH PERFECTLY CONDUCTING WALL CONDITION

    T YANAGISAWA; A MATSUMURA

    JAPAN ACAD, Jun. 1988, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 64 (6), 191 - 194, web_of_science

    Scientific journal

  • MIXED PROBLEMS FOR QUASI-LINEAR SYMMETRICAL HYPERBOLIC SYSTEMS

    S KAWASHIMA; T YANAGISAWA; Y SHIZUTA

    JAPAN ACAD, Sep. 1987, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 63 (7), 243 - 246, web_of_science

    Scientific journal

  • The initial boundary value problem for the equations of ideal magneto-hydrodynamics

    Taku Yanagisawa

    1987, Hokkaido Mathematical Journal, 16 (3), 295 - 314, doi

    Scientific journal

MISC

  • Boudary Value Problems for Stationary MHD Equations

    YANAGISAWA Taku

    Jul. 2014, 数理解析研究所講究録, 1905, 40-52

  • 多重連結領域における定常Navier-Stokes方程式の境界値問題

    YANAGISAWA Taku

    2011, 研究集会PPM2010報告集 \n偏微分方程式と現象:PDEs and Phenomena in Miyazaki 2010, PPM2010-10, 1-9

  • Helmholtz-Weyl分解とその応用

    YANAGISAWA Taku

    Mar. 2010, 日本数学会2010年度年会函数方程式論分科会講演アブストラクト, 122-131

  • On the paper "Blows Ups of Complex Solutions of the 3D Navier-Stokes Systems and RG Method" by Ya Sinai and et al.

    YANAGISAWA Taku

    2008, 数理解析研究所講究録, 1600, 132-146

  • 理想磁気流体力学の方程式系の初期値境界値問題

    YANAGISAWA Taku

    1990, 数理解析研究所講究録, 734, 91-105

Books etc

  • Advances in Nonlinear Partial Differential Equations and Stochastics (Series on Advances in Mathematics for Applied Sciences Vol.48)

    YANAGISAWA Taku; S. Kawashima (, Range: 編集)

    World Scientific, Jan. 1998

Presentations

  • On the spaces of harmonic L^r-vector fields over exterior domains

    Taku Yanagisawa

    Maximal regularity and nonlinear (RIMS, Kyoto), Mar. 2019, RIMS, Kyoto University, Kyoto, Japan

  • A geometric characterization of the space of harmonic L^r-vector fields over exterior domains

    Taku Yanagisawa

    Mathematical Fluid Mechanics and Related Topics -In honor of Professor Hideo Kozono on his 60th birthday-(Tokyo Institute of Technology, Tokyo), Sep. 2018, Yasuhi Taniuchi et.al., Tokyo Institute of Technology, Ookayama Campus

  • Arithmetic-Geometric mean and Newton's method

    YANAGISAWA Taku

    ミニシンポジュウム(北海道情報大学), Sep. 2018, 北海道江別市 北海道情報大学EDタワー

  • Characterization of the space of harmonic vector fields over exterior domains

    Taku Yanagisawa

    The 35th Kyushu Symposium on Partial Differential Equations, Jan. 2018, Shuichi Kawashima, Yoshiyuki Kagei, et.al., Nishijin Plaza, Kyushu University

  • 外部領域上の調和ベクトルのなす空間について

    Taku Yanagisawa

    第6回岐阜数理科学研究会, Aug. 2017, 岐阜大学サテライトキャンパス 多目的講義室

  • On the existence and stability of stationary solutions of MHD equations under the inhomogeneous boundary conditions

    YANAGISAWA Taku; Taku Yanagisawa

    The Navier-Stokes Equations and Related Topics -In Honor of the 60th Birthday of Professor Reinhard Farwig-(Nagoya University, Nagoya), Mar. 2016, Nagoya University, Nagoya

  • On the stability of stationary solutions to the MHD equations with large boundary data

    YANAGISAWA Taku; Taku Yanagisawa

    RIMS Workshop on Mathematical Analysis in Fluid and Gasdynamics, Jul. 2015, RIMS, Kyoto University, Kyoto

  • The solvability and stability of boundary value problems for stationary MHD equations

    YANAGISAWA Taku

    第4回弘前非線形方程式研究会, Dec. 2014, 堤誉志雄,伊藤成治,津田谷公利,山本征法,岡部考宏, 弘前大学創立50周年記念会館「岩木ホール」

  • The boundary value problem for stationary MHD equations

    YANAGISAWA Taku; Taku Yanagisawa

    Classical Problems and New Trends in Mathematical Fluid Dynamics on occasion of Professor Konstantin Pileckas' 60th birthday, Oct. 2014, Amann, Galdi, Rautmann, Solonnikov 他, Ferrara, Italy

  • The solvability and stability of boundary value problems for stationary MHD equations

    YANAGISAWA Taku; Taku Yanagisawa

    ICM 2014 Satellite Conference, Mathematical Theory of Gases and Fluids and Related Applications, Aug. 2014, Donho Chae, Tai-Ping Liu, Hisashi Okamoto, Chung-Ang University, Seoul, Korea

  • The stability of stationary solutions to the MHD equations under the inhomogeneous boundary condition

    YANAGISAWA Taku; Taku Yanagisawa

    Fluid Dynamics and Electromagnetism: Theory and Numerical Approximation on occasion of Prof. Paolo Secchi and Alberto Valli 60th birthday, Jun. 2014, L. Berselli et. al., Levico Terme, Trento, Italy

  • 定常MHD方程式に対する非斉次境界値問題について

    YANAGISAWA Taku

    大阪市大・大阪府大合同「第19回南大阪応用数学セミナー」, Jun. 2014, 高橋太,壁谷喜継 他, 大阪府立大学中百舌鳥キャンパス数理工学科B9棟111号室

  • Solvability of boundary value problems of the stationary MHD systems

    YANAGISAWA Taku; Taku Yanagisawa

    Recent Advances in PDEs and Applications on occasion of Professor Hugo Beirao da Veiga's 70th birthday, Feb. 2014, V. A. Solonnikov, P. Secchi 他, Levico Terme, Trento, Italy

  • On the solvability of boundary value problems for the stationary MHD equations with inhomogeneous boundary conditions

    YANAGISAWA Taku; Taku Yanagisawa

    Mathematical Analysis of Nonlinear Partial Differential Equations -In honor of Professor Shuichi Kawashima on his sixtieth birthday-, Nov. 2013, Yoshiyuki Kagei et.al, Kyushu University Nishijin Plaza, Japan

  • Boundary value problems for stationary MHD equations

    YANAGISAWA Taku; Taku Yanagisawa

    Mathematical Analysis of Viscous Incompressible Fluid, RIMS Symposium, Nov. 2013, 菱田俊明、柴田良弘、清水扇丈, 京都大学数理解析研究所

  • On the solvability Navier-Stokes equations with nonhomogeneous boundary condition

    YANAGISAWA Taku; Taku Yanagisawa

    Nonlinear Wave Equation and Fluid Mechanics\n-In honor of Professor Thomas C. Sideris on his sixtieth birthday-, Aug. 2013, Ogawa Takayoshi et.al., Muroran Institute of Technology, Muroran, Japan

  • 非斉次境界条件下での定常Navier-Stokes方程式の境界値問題をめぐって

    YANAGISAWA Taku

    語ろう数理解析, Jan. 2012, 名和,石渡,松本他, 京都大学理学部

  • Boundary value problems of the stationary MHD equations and Navier-Stokes equations with Coriolis force

    YANAGISAWA Taku; Taku Yanagisawa

    Partial Differential Equations in Mathematical Physics and their Numerical Approximation, Sep. 2011, Hugo Beirao da Veiga, A, Valli, Levico Terme (Trento), Italy

  • Applications of Hodge decomposition to mathematical fluid dynamics

    YANAGISAWA Taku; Taku Yanagisawa

    The 4th MSJ-SI: Nonlinear Dynamics in Partial Differential Equations, Sep. 2011, 日本数学会, 川島秀一他, Kyushu Univ. Hakata, Japan

  • On global compensated compactness theorem

    YANAGISAWA Taku; Taku Yanagisawa

    International Conference on Fluid and Gas Dynamics, Sep. 2011, Yong Zhou, Wuxing Hotel, Jinhua, China

  • On the stationary boundary value problems of the Navier-Stokes equations with in and out flow on the boundary

    YANAGISAWA Taku; Taku Yanagisawa

    7th Internatinal Congress on Industrial and Applied Mathematics, Minisimposium "Recent topics on mathematical analysis for the Navier-Stokes equations", Jul. 2011, Shin'ya Matsui and Yoshikazu Giga, Vancouver, BC, Canada

  • The solvability of stationary Navier-Stokes equations with inhomogeneous boundary data

    YANAGISAWA Taku; Taku Yanagisawa

    International Conference on Mathematical Fluid Mechanics and Biomedical Applications, Jun. 2011, G.Galdi, Hugo Beirao da Veiga, A. Robertson他, Ponta Delgada, Azores, Portugal

  • The stationary Navier-Stokes equations under the inhomogeneous boundary conditions

    YANAGISAWA Taku; Taku Yanagisawa

    International Workshop on Interaction between Mathematics and Fluid Mechanics, Mar. 2011, 鈴木貴,河原源太, 大阪大学基礎工学部

  • On global compensated compactness theorem

    YANAGISAWA Taku; Taku Yanagisawa

    The 3rd Nagoya Workshop on Differential Equations, Feb. 2011, 杉本充,菱田俊明, 名古屋大学理1号館

  • Global compensated compactness theorem and its applications

    YANAGISAWA Taku; Taku Yanagisawa

    PDE and Mathematical Physics, Nov. 2010, 千原浩之他, 京都大学芝蘭会館別館

  • 多重連結領域における定常Navier-Stokes方程式の境界値問題

    YANAGISAWA Taku

    偏微分方程式と現象:PDEs and Phenomena in Miyazaki 2010, Nov. 2010, 辻川他, 宮崎大学工学部

  • 熱方程式とモーメント問題

    YANAGISAWA Taku

    PDE白田記念会ミニシンポジウム, Aug. 2010, 佐藤剛, 北海道大学大学院理学研究科

  • 調和ベクトル場と流体力学等に現れる定常解

    YANAGISAWA Taku

    青葉山勉強会(第5回), Jun. 2010, 久保英夫, 東北大学情報科学研究科

  • ベクトル場の分解定理とその流体力学への応用

    YANAGISAWA Taku

    乱流場と非線形構造-数学と流体力学の融合を目指して-, Apr. 2010, 金田行雄,小薗英雄,石原卓, 東北大学 数理科学記念館

  • Helmholtz-Weyl分解とその応用

    YANAGISAWA Taku

    日本数学会2010年度年会函数方程式論分科会特別講演, Mar. 2010, 日本数学会, 慶応義塾大学

  • Asymptotic behavior of solutions to the viscous Burgers equation

    YANAGISAWA Taku; Taku Yanagisawa

    Linear and Nonlinear Waves, No.7, Nov. 2009, T.Nishitani, N.Hayashi, and H.Sunagawa, 大津市

  • 境界層方程式について

    YANAGISAWA Taku

    第2回CESセミナー, Nov. 2009, 笹山,松井, 早稲田大学理工学部

  • On the stationary Navier-Stokes equations in a 3D bounded domain under the nonhomogeneous boundary condition

    YANAGISAWA Taku; Taku Yanagisawa

    Conference on "Mathematical Physics and PDEs", Sep. 2009, Hugo Beirao da Veiga, Alberto Valli, Levico Terme(Trento, Italy)

  • Leray's problems on the stationary Navier-Stokes equations with inhomogeneous boundary data I

    YANAGISAWA Taku; Taku Yanagisawa

    PDE seminar at Zhejiang Normal University, May 2009, Yong Zhou, Zhejiang Normal University, Jinhua, China

  • Leray's problems on the stationary Navier-Stokes equations with inhomogeneous boundary data II

    YANAGISAWA Taku; Taku Yanagisawa

    PDE seminar at Zhejiang Normal University, May 2009, Yong Zhou, Zhejiang Normal University, Jinhua, China

  • Leray's inequality in 3D domains

    YANAGISAWA Taku; Taku Yanagisawa

    PDE seminar at Zhejiang Normal University, May 2009, Yong Zhou, Zhejiang Normal University, Jinhua, China

  • Blow-up criteria for smooth solutions of 3-D compressible Euler equations on a bounded domain

    YANAGISAWA Taku; Taku Yanagisawa

    Topics of Fluid Dynamics, Apr. 2009, Paolo Secchi, Brescia University, Italy

  • Leray's problems on the stationary Navier-Stokes equations with inhomogeneous boundary data I, II

    YANAGISAWA Taku; Taku Yanagisawa

    Series of Lectures at Pisa University (Parts I and II), Mar. 2009, Hugo Beirao da Veiga, Pisa University, Italy

  • Leray's inequality in 3D domains

    YANAGISAWA Taku; Taku Yanagisawa

    Series of lectures at Pisa University (Part III), Mar. 2009, Hugo Beirao da Veiga, Pisa University, Italy

  • Global DIV-CURL lemma

    YANAGISAWA Taku; Taku Yanagisawa

    Series of lectures at Pisa University (Part IV), Mar. 2009, Hugo Beirao da Veiga, Pisa University, Italy

  • Sinai等によるNavier-Stokes方程式に関する研究の紹介

    YANAGISAWA Taku

    早稲田大学PDEセミナー, Nov. 2008, 柴田良弘 小澤徹

  • Blow-up criteria of smooth solutions for 3-D compressible Euler equations in a bounded domain

    YANAGISAWA Taku

    Nonlinear PDE Workshop at Sendai, Nov. 2008, 谷内靖,石毛和弘,鈴木友之, 東北大学青葉山キャンパス数理科学記念館

  • Helmholtz-Weyl decomposition and its application to compressible Euler flows on a bounded domain

    YANAGISAWA Taku; Taku Yanagisawa

    The Banach Center Conference: Parabolic and Navier-Stokes Equations 2008, Sep. 2008, H.Amann, Y.Shibata,, Bedlewo, Poland

  • Global DIV-CURL Lemma on bounded domains

    YANAGISAWA Taku; Taku Yanagisawa

    Workshop on Mathematical Fluid Dynamics, Sep. 2008, H.Amann, Darmstadt, Germany

  • A decomposition theorem of L^r-vector fields over a bounded domain and its application

    YANAGISAWA Taku; Taku Yanagisawa

    PDE Seminar, Konstanz University, Sep. 2008, R. Racke, Konstanz University, Konstanz, Germany

  • Leray's problem on the stationary Navier-Stokes equations and Leray's inequality

    YANAGISAWA Taku; Taku Yanagisawa

    Navier-Stokes equations:Classical and generalized models, Sep. 2008, H.Beirao da Veiga, Centro di Recerca Matematica Ennio De Giorgi, Scoula Normale Superiore di Pisa, Pisa, Italy

  • Global DIV-CURL lemma on bounded domains in \R^3

    YANAGISAWA Taku

    大阪大学水曜セミナー, Jul. 2008, 松村昭孝, 阪大 理学部

  • Leary's problem on the stationary Navier-Stokes equations and Leray's inequality

    YANAGISAWA Taku

    第2回奈良偏微分方程式研究会, Jun. 2008, 柳沢 卓, 奈良女子大学

  • Leray's problem on the stationary Navier-Stokes equations and Leray's inequality

    YANAGISAWA Taku; Taku Yanagisawa

    PDE Seminar at Fachbereich Mathematik, Technische Universitat Darmstadt, Jun. 2008, Reihard Farwig, Darmstadt, Germany

  • A Decomposition Theorem and its application to fluid dynamics

    YANAGISAWA Taku

    第1回RIMS合宿型セミナー「数理流体力学:抽象論と計算力学的手法の融合」, Mar. 2008, 岡本久(京大数理解析研), 神戸インスティチュ-ト

  • Sinai 等によるNavier-Stokes方程式に関する最近の研究の紹介

    YANAGISAWA Taku

    若手による流体力学の基礎方程式研究集会, Jan. 2008, 小薗英雄他, 名古屋大学大学院多元数理科学研究科

  • On the paper "Blow Ups of Complex Solutions of the 3D Navier-Stokes System and RG Method" by Ya Sinai et al.

    YANAGISAWA Taku

    RIMS研究集会「繰りこみ群の数理科学での応用」, Sep. 2007, 伊東 恵一(摂南大学・工学部), 京都大学数理解析研究所

  • Leray's problem for the stationary Navier-Stokes equations and the harmonic vector fields II

    YANAGISAWA Taku; Taku Yanagisawa

    Sapporo PDE Symposium, Aug. 2007, T.Ozawa, Hokkaido Univ.

  • Decomposition theorems of vector fields and the application to the Navier-Stokes equations

    YANAGISAWA Taku; Taku Yanagisawa

    Second Workshop on Nonlinear Partial Differential Equations: Analysis, Computation and Application, Jun. 2007, Seung Yeal Ha, Yong Jung Kim, Seoul National University, Korea

  • On flux problems for the stationary Navier-Stokes equation

    YANAGISAWA Taku

    神戸大学解析セミナー, Jun. 2007, 足立、高岡, 神戸大学

  • The flux problem for stationary Navier-Stokes eqautions in a bounded domain with a mutiply connected boundary

    YANAGISAWA Taku

    非線形解析セミナー, May 2007, 谷 温之, 慶応大学

  • Existence of solutions of nonhomogeneous boundary value problem for stationary Navier-Stokes equations in a bounded domain Nonlinear PDE seminar (Osaka University)

    YANAGISAWA Taku

    Nonlinear PDE seminar (Osaka University), Dec. 2006, 松村 昭孝

  • Nonhomogeneous boundary value problems for the stationary Navier Stokes equations in a multiply connected domain

    YANAGISAWA Taku

    第2回 流体と保存則の研究集会, Oct. 2006, 西畑 伸也, 東京 (東京工業大学)

  • 粘性Burgers方程式の解の長時間漸近挙動

    YANAGISAWA Taku

    北海道情報大学偏微分方程式セミナー, Sep. 2006, 松井 伸也, 札幌 (北海道情報大学)

  • Hodge decomposition of L^r vector fields on a bounded domain and its application to the Navier Stokes equations

    YANAGISAWA Taku; Taku Yanagisawa

    Mathematical Analysis in Fluid and Gas Dynamics, Jul. 2006, Y.Kagei, RIMS, Kyoto, Japan

  • Asymptotic behavior of solutions to the viscous Burgers equation

    YANAGISAWA Taku

    Nolinear PDE seminar (Osaka University), May 2006, 松村 昭孝, 大阪大学

  • 有界領域上の調和形式の構成とHodge分解定理

    YANAGISAWA Taku

    第3回非線形偏微分方程式研究集会, Mar. 2006, 三沢 正史、菱田 俊明, 富山県氷見市

  • On the decomposition theorem of L^r-vector fields on a bounded domain

    YANAGISAWA Taku; Taku Yanagisawa

    2006 Korea-Japan Conference on Partial Differential Equations, Mar. 2006, HI Jun Choe, Hideo Kozono, Yonsei University, Seoul, Korea

  • ベクトル場の分解定理に関連する幾つかの不等式について

    YANAGISAWA Taku

    解析学談話会(函館みらい大学), Feb. 2006, 上見練太朗, 函館

  • 有界領域上のベクトル場のHodge分解定理

    YANAGISAWA Taku

    北大 PDE Seminar, Nov. 2005, 小澤 徹, 札幌

  • Asymptotic behavior of solutions to the viscous Burgers eqaution with degenerate initial moments

    YANAGISAWA Taku; Taku Yanagisawa

    The Fourth International Conference on Nonlinear Analysis and Convex Analysis, Jul. 2005, W. Takahashi, T. Tanaka, Okinawa, Japan

Teaching Experience

  • 現象構造解析特論Ⅰ (Nara Women's University)

  • Analysis I (Nara Women's University)

Association Memberships

  • 日本数学会

  • Japan Mathematical Sociaty



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