Refereed, The Journal of Geometric Analysis, Springer Science and Business Media LLC, The Helmholtz–Weyl decomposition of $$L^r$$ vector fields for two dimensional exterior domains, Matthias Hieber; Hideo Kozono; Anton Seyfert; Senjo Shimizu; Taku Yanagisawa, May 2021, 31, 5, 5146, 5165, Scientific journal, 10.1007/s12220-020-00473-4
Refereed, The Journal of Geometric Analysis, Springer Science and Business Media LLC, A Characterization of Harmonic $$L^r$$-Vector Fields in Two-Dimensional Exterior Domains, Matthias Hieber; Hideo Kozono; Anton Seyfert; Senjo Shimizu; Taku Yanagisawa, Dec. 2020, 30, 4, 3742, 3759, Scientific journal, 10.1007/s12220-019-00216-0
Refereed, MANUSCRIPTA MATHEMATICA, SPRINGER, 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., Jul. 2013, 141, 3-4, 637, 662, Scientific journal, 10.1007/s00229-012-0586-6
Refereed, Archive for Rational Mechanics and Analysis, 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, 207, 3, 879, 905, Scientific journal, 10.1007/s00205-012-0583-7
Refereed, Lectures on Analysis of Nonlinear Partial Differential Equations: Part 3, \nMorningside Lectures in Mathematics, International Press, L^r Helmholtz Decomposition and Its Application to the Navier-Stokes Equations, Hideo Kozono; Yanagisawa Taku, edited by Fanghua Lin and Ping Zhang, 2013, 3, 237-290, Scientific journal
Refereed, MATHEMATISCHE ANNALEN, SPRINGER, 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., Sep. 2012, 354, 1, 137, 145, Scientific journal, 10.1007/s00208-011-0716-6
Refereed, GAKUTO Internat. Ser. Math. Sci. Appl., Analyticity for higher order nonlinear dispersive equations, N. Hayashi; K. Tomoeda; Taku Yanagisawa, 2010, 32, 111-130, Scientific journal
Refereed, RIMS Kokyuroku Bessatsu B14, Global DIV-CURL Lemma in 3D bounded domains, Hideo Kozono; Taku Yanagisawa, Nov. 2009, 14, 27-33, Symposium
Refereed, PACIFIC JOURNAL OF MATHEMATICS, PACIFIC JOURNAL MATHEMATICS, 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., Nov. 2009, 243, 1, 127, 150, Scientific journal
Refereed, JOURNAL OF FUNCTIONAL ANALYSIS, ACADEMIC PRESS INC ELSEVIER SCIENCE, 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., Jun. 2009, 256, 11, 3847, 3859, Scientific journal, 10.1016/j.jfa.2009.01.010
Refereed, MATHEMATISCHE ZEITSCHRIFT, SPRINGER, 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., May 2009, 262, 1, 27, 39, Scientific journal, 10.1007/s00209-008-0361-2
Refereed, INDIANA UNIVERSITY MATHEMATICS JOURNAL, INDIANA UNIV MATH 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., 2009, 58, 4, 1853, 1920, Scientific journal
Refereed, OSAKA JOURNAL OF MATHEMATICS, OSAKA JOURNAL OF MATHEMATICS, 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., Mar. 2007, 44, 1, 99, 119, Scientific journal
Not Refereed, RIMS Kokyuroku, Kyoto University, Hodge decomposition of L^r-vector fields on a bounded domain and its application to the Navier-Stokes equations, Taku Yanagisawa, 2007, 1536, 73-86, 86
Refereed, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, JOHN WILEY & SONS INC, 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., Apr. 1999, 52, 4, 479, 541, Scientific journal
Refereed, JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, KINOKUNIYA CO LTD, The initial boundary value problem for linear symmetric hyperbolic systems with boundary characteristic of constant multiplicity, M Ohno; Y Shizuta; T Yanagisawa, Jul. 1995, 35, 2, 143, 210, Scientific journal
Refereed, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, NOTE ON GLOBAL EXISTENCE FOR AXIALLY-SYMMETRICAL SOLUTIONS OF THE EULER SYSTEM, T SHIROTA; T YANAGISAWA, Dec. 1994, 70, 10, 299, 304, Scientific journal
Refereed, TOHOKU MATHEMATICAL JOURNAL, TOHOKU UNIVERSITY MATHEMATICAL INSTITUTE, 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., Sep. 1994, 46, 3, 393, 401, Scientific journal
Refereed, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, A CONTINUATION PRINCIPLE FOR THE 3-D EULER EQUATIONS FOR INCOMPRESSIBLE FLUIDS IN A BOUNDED DOMAIN, T SHIROTA; T YANAGISAWA, Mar. 1993, 69, 3, 77, 82, Scientific journal
Refereed, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, THE INITIAL BOUNDARY-VALUE-PROBLEMS FOR LINEAR SYMMETRICAL HYPERBOLIC SYSTEMS WITH CHARACTERISTIC BOUNDARY, M OHNO; Y SHIZUTA; T YANAGISAWA, Jun. 1991, 67, 6, 191, 196, Scientific journal
Refereed, COMMUNICATIONS IN MATHEMATICAL PHYSICS, SPRINGER VERLAG, 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., 1991, 136, 1, 119, 140, Scientific journal
Refereed, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, INITIAL BOUNDARY-VALUE PROBLEM FOR THE EQUATIONS OF IDEAL MAGNETO-HYDRO-DYNAMICS WITH PERFECTLY CONDUCTING WALL CONDITION, T YANAGISAWA; A MATSUMURA, Jun. 1988, 64, 6, 191, 194, Scientific journal
Refereed, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, MIXED PROBLEMS FOR QUASI-LINEAR SYMMETRICAL HYPERBOLIC SYSTEMS, S KAWASHIMA; T YANAGISAWA; Y SHIZUTA, Sep. 1987, 63, 7, 243, 246, Scientific journal
Refereed, Hokkaido Mathematical Journal, The initial boundary value problem for the equations of ideal magneto-hydrodynamics, Taku Yanagisawa, 1987, 16, 3, 295, 314, Scientific journal, 10.14492/hokmj/1381518181
Refereed, Journal of Functional Analysis, Elsevier BV, L^r-Helmholtz-Weyl decomposition for three dimensional exterior domains, Matthias Hieber; Hideo Kozono; Anton Seyfert; Senjo Shimizu; Taku Yanagisawa, Oct. 2021, 281, 8, 109144, 109144, Scientific journal, 10.1016/j.jfa.2021.109144
Refereed, Calculus of Variations and Partial Differential Equations, Springer Science and Business Media LLC, Stationary Navier–Stokes equations under inhomogeneous boundary conditions in 3D exterior domains, Matthias Hieber; Hideo Kozono; Anton Seyfert; Senjo Shimizu; Taku Yanagisawa, Jul. 2021, 60, 5, Scientific journal, 10.1007/s00526-021-02050-1
Refereed, The Journal of Geometric Analysis, A Characterization of Harmonic L^r-Vector Fields in Three Dimensional Exterior Domains, Matthias Hieber; Hideo Kozono; Anton Seyfert; Senjo Shimizu; Taku Yanagisawa, 19 May 2022, 32, Scientific journal
Refereed, 数学, 3次元L^r-ベクトル場に対するHelmholtz-Weyl分解, 小薗英雄; 清水扇丈; 柳澤卓, Jan. 2023, 75, 1, 1, 30
Taku Yanagisawa, Maximal regularity and nonlinear (RIMS, Kyoto), On the spaces of harmonic L^r-vector fields over exterior domains, Mar. 2019, RIMS, Kyoto University, Kyoto, Japan, True
Taku Yanagisawa, Mathematical Fluid Mechanics and Related Topics -In honor of Professor Hideo Kozono on his 60th birthday-(Tokyo Institute of Technology, Tokyo), A geometric characterization of the space of harmonic L^r-vector fields over exterior domains, Sep. 2018, Yasuhi Taniuchi et.al., Tokyo Institute of Technology, Ookayama Campus, True
YANAGISAWA Taku, ミニシンポジュウム(北海道情報大学), Arithmetic-Geometric mean and Newton's method, Sep. 2018, 北海道江別市 北海道情報大学EDタワー, False
Taku Yanagisawa, The 35th Kyushu Symposium on Partial Differential Equations, Characterization of the space of harmonic vector fields over exterior domains, Jan. 2018, Shuichi Kawashima, Yoshiyuki Kagei, et.al., Nishijin Plaza, Kyushu University, True
Taku Yanagisawa, 第6回岐阜数理科学研究会, 外部領域上の調和ベクトルのなす空間について, Aug. 2017, 岐阜大学サテライトキャンパス 多目的講義室, False
YANAGISAWA Taku; Taku Yanagisawa, The Navier-Stokes Equations and Related Topics -In Honor of the 60th Birthday of Professor Reinhard Farwig-(Nagoya University, Nagoya), On the existence and stability of stationary solutions of MHD equations under the inhomogeneous boundary conditions, Mar. 2016, Nagoya University, Nagoya, True
YANAGISAWA Taku; Taku Yanagisawa, RIMS Workshop on Mathematical Analysis in Fluid and Gasdynamics, On the stability of stationary solutions to the MHD equations with large boundary data, Jul. 2015, RIMS, Kyoto University, Kyoto, True
YANAGISAWA Taku, 第4回弘前非線形方程式研究会, The solvability and stability of boundary value problems for stationary MHD equations, 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」, False
YANAGISAWA Taku; Taku Yanagisawa, Classical Problems and New Trends in Mathematical Fluid Dynamics on occasion of Professor Konstantin Pileckas' 60th birthday, The boundary value problem for stationary MHD equations, Oct. 2014, Amann, Galdi, Rautmann, Solonnikov 他, Ferrara, Italy, True
YANAGISAWA Taku; Taku Yanagisawa, ICM 2014 Satellite Conference, Mathematical Theory of Gases and Fluids and Related Applications, The solvability and stability of boundary value problems for stationary MHD equations, Aug. 2014, Donho Chae, Tai-Ping Liu, Hisashi Okamoto, Chung-Ang University, Seoul, Korea, True
YANAGISAWA Taku; Taku Yanagisawa, Fluid Dynamics and Electromagnetism: Theory and Numerical Approximation on occasion of Prof. Paolo Secchi and Alberto Valli 60th birthday, The stability of stationary solutions to the MHD equations under the inhomogeneous boundary condition, Jun. 2014, L. Berselli et. al., Levico Terme, Trento, Italy, True
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」, 定常MHD方程式に対する非斉次境界値問題について, 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, False
YANAGISAWA Taku; Taku Yanagisawa, Recent Advances in PDEs and Applications on occasion of Professor Hugo Beirao da Veiga's 70th birthday, Solvability of boundary value problems of the stationary MHD systems, Feb. 2014, V. A. Solonnikov, P. Secchi 他, Levico Terme, Trento, Italy, True
YANAGISAWA Taku; Taku Yanagisawa, Mathematical Analysis of Nonlinear Partial Differential Equations -In honor of Professor Shuichi Kawashima on his sixtieth birthday-, On the solvability of boundary value problems for the stationary MHD equations with inhomogeneous boundary conditions, Nov. 2013, Yoshiyuki Kagei et.al, Kyushu University Nishijin Plaza, Japan, True
YANAGISAWA Taku; Taku Yanagisawa, Mathematical Analysis of Viscous Incompressible Fluid, RIMS Symposium, Boundary value problems for stationary MHD equations, 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, True
YANAGISAWA Taku; Taku Yanagisawa, Nonlinear Wave Equation and Fluid Mechanics\n-In honor of Professor Thomas C. Sideris on his sixtieth birthday-, On the solvability Navier-Stokes equations with nonhomogeneous boundary condition, Aug. 2013, Ogawa Takayoshi et.al., Muroran Institute of Technology, Muroran, Japan, True
YANAGISAWA Taku, 語ろう数理解析, 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, Jan. 2012, 名和,石渡,松本他, 京都大学理学部, False
YANAGISAWA Taku; Taku Yanagisawa, Partial Differential Equations in Mathematical Physics and their Numerical Approximation, Boundary value problems of the stationary MHD equations and Navier-Stokes equations with Coriolis force, Sep. 2011, Hugo Beirao da Veiga, A, Valli, Levico Terme (Trento), Italy, True
YANAGISAWA Taku; Taku Yanagisawa, The 4th MSJ-SI: Nonlinear Dynamics in Partial Differential Equations, Applications of Hodge decomposition to mathematical fluid dynamics, Sep. 2011, 日本数学会, 川島秀一他, Kyushu Univ. Hakata, Japan, False
YANAGISAWA Taku; Taku Yanagisawa, International Conference on Fluid and Gas Dynamics, On global compensated compactness theorem, Sep. 2011, Yong Zhou, Wuxing Hotel, Jinhua, China, True
YANAGISAWA Taku; Taku Yanagisawa, 7th Internatinal Congress on Industrial and Applied Mathematics, Minisimposium "Recent topics on mathematical analysis for the Navier-Stokes equations", On the stationary boundary value problems of the Navier-Stokes equations with in and out flow on the boundary, Jul. 2011, Shin'ya Matsui and Yoshikazu Giga, Vancouver, BC, Canada, True
YANAGISAWA Taku; Taku Yanagisawa, International Conference on Mathematical Fluid Mechanics and Biomedical Applications, The solvability of stationary Navier-Stokes equations with inhomogeneous boundary data, Jun. 2011, G.Galdi, Hugo Beirao da Veiga, A. Robertson他, Ponta Delgada, Azores, Portugal, True
YANAGISAWA Taku; Taku Yanagisawa, International Workshop on Interaction between Mathematics and Fluid Mechanics, The stationary Navier-Stokes equations under the inhomogeneous boundary conditions, Mar. 2011, 鈴木貴,河原源太, 大阪大学基礎工学部, False
YANAGISAWA Taku; Taku Yanagisawa, The 3rd Nagoya Workshop on Differential Equations, On global compensated compactness theorem, Feb. 2011, 杉本充,菱田俊明, 名古屋大学理1号館, False
YANAGISAWA Taku; Taku Yanagisawa, PDE and Mathematical Physics, Global compensated compactness theorem and its applications, Nov. 2010, 千原浩之他, 京都大学芝蘭会館別館, False
YANAGISAWA Taku, 偏微分方程式と現象:PDEs and Phenomena in Miyazaki 2010, 多重連結領域における定常Navier-Stokes方程式の境界値問題, Nov. 2010, 辻川他, 宮崎大学工学部, False
YANAGISAWA Taku, PDE白田記念会ミニシンポジウム, 熱方程式とモーメント問題, Aug. 2010, 佐藤剛, 北海道大学大学院理学研究科, False
YANAGISAWA Taku, 青葉山勉強会(第5回), 調和ベクトル場と流体力学等に現れる定常解, Jun. 2010, 久保英夫, 東北大学情報科学研究科, False
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-, ベクトル場の分解定理とその流体力学への応用, Apr. 2010, 金田行雄,小薗英雄,石原卓, 東北大学 数理科学記念館, False
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, Helmholtz-Weyl分解とその応用, Mar. 2010, 日本数学会, 慶応義塾大学, False
YANAGISAWA Taku; Taku Yanagisawa, Linear and Nonlinear Waves, No.7, Asymptotic behavior of solutions to the viscous Burgers equation, Nov. 2009, T.Nishitani, N.Hayashi, and H.Sunagawa, 大津市, False
YANAGISAWA Taku, 第2回CESセミナー, 境界層方程式について, Nov. 2009, 笹山,松井, 早稲田大学理工学部, False
YANAGISAWA Taku; Taku Yanagisawa, Conference on "Mathematical Physics and PDEs", On the stationary Navier-Stokes equations in a 3D bounded domain under the nonhomogeneous boundary condition, Sep. 2009, Hugo Beirao da Veiga, Alberto Valli, Levico Terme(Trento, Italy), True
YANAGISAWA Taku; Taku Yanagisawa, PDE seminar at Zhejiang Normal University, Leray's problems on the stationary Navier-Stokes equations with inhomogeneous boundary data I, May 2009, Yong Zhou, Zhejiang Normal University, Jinhua, China, True
YANAGISAWA Taku; Taku Yanagisawa, PDE seminar at Zhejiang Normal University, Leray's problems on the stationary Navier-Stokes equations with inhomogeneous boundary data II, May 2009, Yong Zhou, Zhejiang Normal University, Jinhua, China, True
YANAGISAWA Taku; Taku Yanagisawa, PDE seminar at Zhejiang Normal University, Leray's inequality in 3D domains, May 2009, Yong Zhou, Zhejiang Normal University, Jinhua, China, True
YANAGISAWA Taku; Taku Yanagisawa, Topics of Fluid Dynamics, Blow-up criteria for smooth solutions of 3-D compressible Euler equations on a bounded domain, Apr. 2009, Paolo Secchi, Brescia University, Italy, True
YANAGISAWA Taku; Taku Yanagisawa, Series of Lectures at Pisa University (Parts I and II), Leray's problems on the stationary Navier-Stokes equations with inhomogeneous boundary data I, II, Mar. 2009, Hugo Beirao da Veiga, Pisa University, Italy, True
YANAGISAWA Taku; Taku Yanagisawa, Series of lectures at Pisa University (Part III), Leray's inequality in 3D domains, Mar. 2009, Hugo Beirao da Veiga, Pisa University, Italy, True
YANAGISAWA Taku; Taku Yanagisawa, Series of lectures at Pisa University (Part IV), Global DIV-CURL lemma, Mar. 2009, Hugo Beirao da Veiga, Pisa University, Italy, True
YANAGISAWA Taku, 早稲田大学PDEセミナー, Sinai等によるNavier-Stokes方程式に関する研究の紹介, Nov. 2008, 柴田良弘 小澤徹, False
YANAGISAWA Taku, Nonlinear PDE Workshop at Sendai, Blow-up criteria of smooth solutions for 3-D compressible Euler equations in a bounded domain, 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, False
YANAGISAWA Taku; Taku Yanagisawa, The Banach Center Conference: Parabolic and Navier-Stokes Equations 2008, Helmholtz-Weyl decomposition and its application to compressible Euler flows on a bounded domain, Sep. 2008, H.Amann, Y.Shibata,, Bedlewo, Poland, True
YANAGISAWA Taku; Taku Yanagisawa, Workshop on Mathematical Fluid Dynamics, Global DIV-CURL Lemma on bounded domains, Sep. 2008, H.Amann, Darmstadt, Germany, True
YANAGISAWA Taku; Taku Yanagisawa, PDE Seminar, Konstanz University, A decomposition theorem of L^r-vector fields over a bounded domain and its application, Sep. 2008, R. Racke, Konstanz University, Konstanz, Germany, True
YANAGISAWA Taku; Taku Yanagisawa, Navier-Stokes equations:Classical and generalized models, Leray's problem on the stationary Navier-Stokes equations and Leray's inequality, Sep. 2008, H.Beirao da Veiga, Centro di Recerca Matematica Ennio De Giorgi, Scoula Normale Superiore di Pisa, Pisa, Italy, True
YANAGISAWA Taku, 大阪大学水曜セミナー, Global DIV-CURL lemma on bounded domains in \R^3, Jul. 2008, 松村昭孝, 阪大 理学部, False
YANAGISAWA Taku, 第2回奈良偏微分方程式研究会, Leary's problem on the stationary Navier-Stokes equations and Leray's inequality, Jun. 2008, 柳沢 卓, 奈良女子大学, False
YANAGISAWA Taku; Taku Yanagisawa, PDE Seminar at Fachbereich Mathematik, Technische Universitat Darmstadt, Leray's problem on the stationary Navier-Stokes equations and Leray's inequality, Jun. 2008, Reihard Farwig, Darmstadt, Germany, True
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」, A Decomposition Theorem and its application to fluid dynamics, Mar. 2008, 岡本久(京大数理解析研), 神戸インスティチュ-ト, False
YANAGISAWA Taku, 若手による流体力学の基礎方程式研究集会, Sinai 等によるNavier-Stokes方程式に関する最近の研究の紹介, Jan. 2008, 小薗英雄他, 名古屋大学大学院多元数理科学研究科, False
YANAGISAWA Taku, RIMS研究集会「繰りこみ群の数理科学での応用」, On the paper "Blow Ups of Complex Solutions of the 3D Navier-Stokes System and RG Method" by Ya Sinai et al., Sep. 2007, 伊東 恵一(摂南大学・工学部), 京都大学数理解析研究所, False
YANAGISAWA Taku; Taku Yanagisawa, Sapporo PDE Symposium, Leray's problem for the stationary Navier-Stokes equations and the harmonic vector fields II, Aug. 2007, T.Ozawa, Hokkaido Univ., True
YANAGISAWA Taku; Taku Yanagisawa, Second Workshop on Nonlinear Partial Differential Equations: Analysis, Computation and Application, Decomposition theorems of vector fields and the application to the Navier-Stokes equations, Jun. 2007, Seung Yeal Ha, Yong Jung Kim, Seoul National University, Korea, True
YANAGISAWA Taku, 神戸大学解析セミナー, On flux problems for the stationary Navier-Stokes equation, Jun. 2007, 足立、高岡, 神戸大学, False
YANAGISAWA Taku, 非線形解析セミナー, The flux problem for stationary Navier-Stokes eqautions in a bounded domain with a mutiply connected boundary, May 2007, 谷 温之, 慶応大学, False
YANAGISAWA Taku, Nonlinear PDE seminar (Osaka University), Existence of solutions of nonhomogeneous boundary value problem for stationary Navier-Stokes equations in a bounded domain Nonlinear PDE seminar (Osaka University), Dec. 2006, 松村 昭孝, False
YANAGISAWA Taku, 第2回 流体と保存則の研究集会, Nonhomogeneous boundary value problems for the stationary Navier Stokes equations in a multiply connected domain, Oct. 2006, 西畑 伸也, 東京 (東京工業大学), False
YANAGISAWA Taku, 北海道情報大学偏微分方程式セミナー, 粘性Burgers方程式の解の長時間漸近挙動, Sep. 2006, 松井 伸也, 札幌 (北海道情報大学), False
YANAGISAWA Taku; Taku Yanagisawa, Mathematical Analysis in Fluid and Gas Dynamics, Hodge decomposition of L^r vector fields on a bounded domain and its application to the Navier Stokes equations, Jul. 2006, Y.Kagei, RIMS, Kyoto, Japan, True
YANAGISAWA Taku, Nolinear PDE seminar (Osaka University), Asymptotic behavior of solutions to the viscous Burgers equation, May 2006, 松村 昭孝, 大阪大学, False
YANAGISAWA Taku, 第3回非線形偏微分方程式研究集会, 有界領域上の調和形式の構成とHodge分解定理, Mar. 2006, 三沢 正史、菱田 俊明, 富山県氷見市, False
YANAGISAWA Taku; Taku Yanagisawa, 2006 Korea-Japan Conference on Partial Differential Equations, On the decomposition theorem of L^r-vector fields on a bounded domain, Mar. 2006, HI Jun Choe, Hideo Kozono, Yonsei University, Seoul, Korea, True
YANAGISAWA Taku, 解析学談話会(函館みらい大学), 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, Feb. 2006, 上見練太朗, 函館, False
YANAGISAWA Taku, 北大 PDE Seminar, 有界領域上のベクトル場のHodge分解定理, Nov. 2005, 小澤 徹, 札幌, False
YANAGISAWA Taku; Taku Yanagisawa, The Fourth International Conference on Nonlinear Analysis and Convex Analysis, Asymptotic behavior of solutions to the viscous Burgers eqaution with degenerate initial moments, Jul. 2005, W. Takahashi, T. Tanaka, Okinawa, Japan, True
Taku Yanagisawa, 北海道情報大学 偏微分方程式セミナー, Long-time asymptotic profiles to the n-dimensional heat equation and modified heat kernels, Oral presentation, 18 Feb. 2024, 18 Feb. 2024, 18 Feb. 2024
Taku Yanagisawa, 新潟駅前 応用解析研究会, Long-time asymptotic profiles to the n-dimensional heat equation and modified heat kernels, Invited oral presentation, 20 Jan. 2024, 20 Jan. 2024, 21 Jan. 2024
南香名, 日本数学会2023年度秋季総合分科会函数方程式論分科会, n次元熱方程式の長時間漸近形, Oral presentation, 21 Sep. 2023, 20 Sep. 2023, 23 Sep. 2023