Edit Profile (opens in new tab) Kawashima, Shuichi Co-Author Distance Author ID: kawashima.shuichi Published as: Kawashima, Shuichi; Kawashima, S.; Kawashima, Shūichi more...less Documents Indexed: 147 Publications since 1979, including 3 Additional arXiv Preprints 8 Contributions as Editor · 1 Further Contribution Co-Authors: 68 Co-Authors with 136 Joint Publications 1,262 Co-Co-Authors all top 5 Co-Authors 20 single-authored 16 Ueda, Yoshihiro 16 Xu, Jiang 14 Nishibata, Shinya 12 Nakamura, Tohru 12 Shizuta, Yasushi 10 Matsumura, Akitaka 7 Mori, Naofumi 6 Liu, Yongqin 5 Dharmawardane, Priyanjana M. N. 5 Duan, Renjun 5 Zhu, Peicheng 4 Nikkuni, Yoshiko 4 Okada, Mari 4 Shibata, Yoshihiro 3 Hattori, Harumi 3 Kobayashi, Ryo 3 Nishida, Takaaki 3 Nishihara, Kenji 3 Wang, Shu 3 Wang, Yuzhu 2 Asakura, Fumioki 2 Feng, Yuehong 2 Hoshino, Hiroki 2 Ide, Kentaro 2 Kagei, Yoshiyuki 2 Maeji, Machi 2 Makino, Tetu 2 Nakasato, Ryosuke 2 Nishikawa, Masataka 2 Ogawa, Takayoshi 2 Taniue, Shogo 2 Ukai, Seiji 2 Watanabe, Akemi 2 Yanagisawa, Taku 2 Yong, Wen-An 1 Bellomo, Nicola 1 Brézis, Haïm 1 Cabannes, Henri 1 Ebihara, Yukiyoshi 1 Ei, Shin-Ichiro 1 Haramoto, Kazuo 1 Hashimoto, Itsuko 1 Hataya, Yasushi 1 Hirano, Norimichi 1 Hosono, Takafumi 1 Iguchi, Tatsuo 1 Ito, Kazuo 1 Kato, Masakazu 1 Kenmochi, Nobuyuki 1 Kimura, Masato 1 Kobayashi, Kazuo 1 Kubo, Takekiyo 1 Kurata, Kazuhiro 1 Kurokiba, Masaki 1 Levine, Howard Allen 1 Lin, Chikun 1 Liu, Tai-Ping 1 Maekawa, Yasunori 1 Mizumachi, Tetsu 1 Muñoz Rivera, Jaime Edilberto 1 Nakamura, Kenta 1 Nakao, Mitsuhiro 1 Ohnawa, Masashi 1 Ono, Kosuke 1 Ôtani, Mitsuharu 1 Segata, Jun-ichi 1 Sugitani, Yousuke 1 Suzuki, Yukihito 1 Takahashi, Wataru 1 Takeda, Hiroshi 1 Tanaka, Yoshihito 1 Uemi, Rentarō 1 Umeda, Tomio 1 Xiong, Jun 1 Yamada, Naoki Yamada 1 Yamamoto, Masakazu 1 Yoshikawa, Shuji 1 Yotsuya, Shōji all top 5 Serials 14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 Journal of Differential Equations 9 Proceedings of the Japan Academy. Series A 9 Journal of Hyperbolic Differential Equations 8 Communications in Mathematical Physics 7 Archive for Rational Mechanics and Analysis 5 SIAM Journal on Mathematical Analysis 5 Kinetic and Related Models 4 Journal of Mathematical Analysis and Applications 4 Japan Journal of Applied Mathematics 4 RIMS Kokyuroku 3 Journal of Mathematics of Kyoto University 3 Kyushu Journal of Mathematics 3 Analysis and Applications (Singapore) 2 Mathematical Methods in the Applied Sciences 2 Transport Theory and Statistical Physics 2 Funkcialaj Ekvacioj. Serio Internacia 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Methods and Applications of Analysis 2 Discrete and Continuous Dynamical Systems 2 Kyoto Journal of Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Czechoslovak Mathematical Journal 1 Hiroshima Mathematical Journal 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Japanese Journal of Mathematics. New Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 Tsukuba Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Japan Journal of Industrial and Applied Mathematics 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal de Mécanique Théorique et Appliquée 1 Advances in Mathematical Sciences and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Science Bulletin of Josai University 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Advanced Studies in Pure Mathematics 1 Series on Advances in Mathematics for Applied Sciences 1 RIMS Kôkyûroku Bessatsu 1 Science China. Mathematics 1 RIMS Kokyuroku all top 5 Fields 134 Partial differential equations (35-XX) 69 Fluid mechanics (76-XX) 28 Statistical mechanics, structure of matter (82-XX) 24 Mechanics of deformable solids (74-XX) 9 General and overarching topics; collections (00-XX) 4 Numerical analysis (65-XX) 4 Optics, electromagnetic theory (78-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 3,167 times in 1,614 Documents Cited by ▼ Year ▼ Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation. Zbl 0587.35046 Shizuta, Yasushi; Kawashima, Shuichi 220 1985 Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion. Zbl 0624.76095 Kawashima, Shuichi; Matsumura, Akitaka 189 1985 On the decay of solutions to the linearized equations of electro-magneto- fluid dynamics. Zbl 0634.76120 Umeda, Tomio; Kawashima, Shuichi; Shizuta, Yasushi 118 1984 Large-time behaviour of solutions to hyperbolic-parabolic systems of conservation laws and applications. Zbl 0653.35066 Kawashima, Shuichi 110 1987 Smooth global solutions for the one-dimensional equations in magnetohydrodynamics. Zbl 0522.76098 Kawashima, Shuichi; Okada, Mari 109 1982 Sur la solution à support compact de l’equation d’Euler compressible. (Solutions with compact support of the compressible Euler equation). Zbl 0637.76065 Makino, Tetu; Ukai, Seiji; Kawashima, Shuichi 103 1986 Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space. Zbl 1038.35057 Kawashima, Shuichi; Nishibata, Shinya; Zhu, Peicheng 85 2003 Decay property of regularity-loss type for dissipative Timoshenko system. Zbl 1153.35013 Ide, Kentaro; Haramoto, Kazuo; Kawashima, Shuichi 80 2008 On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term. Zbl 0852.35099 Kawashima, Shuichi; Nakao, Mitsuhiro; Ono, Kosuke 72 1995 Smooth global solutions for two-dimensional equations of electro-magneto- fluid dynamics. Zbl 0598.76116 Kawashima, Shuichi 68 1984 Global existence and exponential stability of small solutions to nonlinear viscoelasticity. Zbl 0779.35066 Kawashima, S.; Shibata, Y. 65 1992 On the normal form of the symmetric hyperbolic-parabolic systems associated with the conservation laws. Zbl 0699.35171 Kawashima, Shuichi; Shizuta, Yasushi 64 1988 Asymptotic behavior of solutions for the equations of a viscous heat- conductive gas. Zbl 0624.76097 Kawashima, Shuichi; Matsumura, Akitaka; Nishihara, Kenji 63 1986 Decay property of regularity-loss type and application to some nonlinear hyperbolic–elliptic system. Zbl 1108.35014 Hosono, Takafumi; Kawashima, Shuichi 60 2006 Global solutions to the initial value problem for the equations of one- dimensional motion of viscous polytropic gases. Zbl 0478.76097 Kawashima, Shuichi; Nishida, Takaaki 56 1981 On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation. Zbl 0449.76053 Kawashima, Shuichi; Matsumura, Akitaka; Nishida, Takaaki 56 1979 Decay property of regularity-loss type and nonlinear effects for dissipative Timoshenko system. Zbl 1160.35346 Ide, Kentaro; Kawashima, Shuichi 56 2008 Shock waves for a model system of the radiating gas. Zbl 0924.35082 Kawashima, Shuichi; Nishibata, Shinya 51 1999 Decay estimates of solutions to a semi-linear dissipative plate equation. Zbl 1207.35229 Sugitani, Yousuke; Kawashima, Shuichi 50 2010 Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space. Zbl 1117.35062 Kagei, Yoshiyuki; Kawashima, Shuichi 47 2006 Dissipative structure and entropy for hyperbolic systems of balance laws. Zbl 1065.35187 Kawashima, S.; Yong, W.-A. 47 2004 On the equations of one-dimensional motion of compressible viscous fluids. Zbl 0529.76070 Okada, Mari; Kawashima, Shuichi 44 1983 Stability of rarefaction waves for a model system of a radiating gas. Zbl 1068.35106 Kawashima, Shuichi; Tanaka, Yoshihito 44 2004 The Boltzmann equation and thirteen moments. Zbl 0702.76090 Kawashima, Shuichi 43 1990 Dissipative structure of the regularity-loss type and time asymptotic decay of solutions for the Euler-Maxwell system. Zbl 1252.35073 Ueda, Yoshihiro; Wang, Shu; Kawashima, Shuichi 42 2012 Decay structure for symmetric hyperbolic systems with non-symmetric relaxation and its application. Zbl 1273.35051 Ueda, Yoshihiro; Duan, Renjun; Kawashima, Shuichi 42 2012 Decay property of regularity-loss type for the Euler-Maxwell system. Zbl 1282.35069 Kawashima, Shuichi; Ueda, Yoshihiro 41 2011 Stability of shock profiles in viscoelasticity with non-convex constitutive relations. Zbl 0820.73030 Kawashima, Shuichi; Matsumura, Akitaka 36 1994 The initial value problem for hyperbolic-elliptic coupled systems and applications to radiation hydrodynamics. Zbl 0942.35048 Kawashima, Shuichi; Nikkuni, Yoshiko; Nishibata, Shinya 35 1998 The optimal decay estimates on the framework of Besov spaces for generally dissipative systems. Zbl 1323.35141 Xu, Jiang; Kawashima, Shuichi 35 2015 Cauchy problem for a model system of the radiating gas: weak solutions with a jump and classical solutions. Zbl 0935.35098 Kawashima, Shuichi; Nishibata, Shinya 34 1999 Asymptotic stability of nonlinear wave for the compressible Navier-Stokes equations in the half space. Zbl 1149.35011 Kawashima, Shuichi; Zhu, Peicheng 33 2008 Stationary waves to viscous heat-conductive gases in half-space: existence, stability and convergence rate. Zbl 1213.35104 Kawashima, Shuichi; Nakamura, Tohru; Nishibata, Shinya; Zhu, Peicheng 33 2010 Asymptotic stability of rarefaction wave for the Navier-Stokes equations for a compressible fluid in the half-space. Zbl 1273.76353 Kawashima, Shuichi; Zhu, Peicheng 33 2009 Decay estimates for hyperbolic balance laws. Zbl 1173.35365 Kawashima, Shuichi; Yong, Wen-An 33 2009 Magnetohydrodynamic approximation of the complete equations for an electro-magnetic fluid. Zbl 0605.76131 Kawashima, Shuichi; Shizuta, Yasushi 32 1986 \(L^p\) energy method for multi-dimensional viscous conservation laws and application to the stability of planar waves. Zbl 1067.35019 Kawashima, Shuichi; Nishibata, Shinya; Nishikawa, Masataka 32 2004 Decay property for a plate equation with memory-type dissipation. Zbl 1225.35150 Liu, Yongqin; Kawashima, Shuichi 30 2011 Magnetohydrodynamic approximation of the complete equations for an electromagnetic fluid. II. Zbl 0623.76125 Kawashima, Shuichi; Shizuta, Yasushi 30 1986 Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system. Zbl 1102.35005 Kagei, Yoshiyuki; Kawashima, Shuichi 28 2006 Global classical solutions for partially dissipative hyperbolic system of balance laws. Zbl 1293.35173 Xu, Jiang; Kawashima, Shuichi 28 2014 Decay property for second order hyperbolic systems of viscoelastic materials. Zbl 1190.35031 Dharmawardane, Priyanjana M. N.; Muñoz Rivera, Jaime E.; Kawashima, Shuichi 24 2010 Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system. Zbl 1304.35517 Feng, Yue-Hong; Wang, Shu; Kawashima, Shuichi 23 2014 Decay property for the Timoshenko system with Fourier’s type heat conduction. Zbl 1288.35084 Mori, Naofumi; Kawashima, Shuichi 23 2014 Decay property for the Timoshenko system with memory-type dissipation. Zbl 1257.35044 Liu, Yongqin; Kawashima, Shuichi 22 2012 Large-time behavior of solutions to hyperbolic-elliptic coupled systems. Zbl 1073.35039 Kawashima, Shuichi; Nikkuni, Yoshiko; Nishibata, Shinya 22 2003 Global existence and asymptotic behavior of solutions for quasi-linear dissipative plate equation. Zbl 1215.35035 Liu, Yongqin; Kawashima, Shuichi 20 2011 Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation. Zbl 1311.35141 Kawashima, Shuichi; Wang, Yu-Zhu 20 2015 Asymptotic behavior of solutions to the generalized cubic double dispersion equation in one space dimension. Zbl 1284.35257 Kato, Masakazu; Wang, Yu-Zhu; Kawashima, Shuichi 20 2013 Global existence and decay of solutions for a quasi-linear dissipative plate equation. Zbl 1232.35023 Liu, Yongqin; Kawashima, Shuichi 19 2011 Decay estimates and large time behavior of solutions to the drift-diffusion system. Zbl 1173.35366 Kobayashi, Ryo; Kawashima, Shuichi 16 2008 Global solutions to the equation of viscoelasticity with fading memory. Zbl 0818.35017 Kawashima, Shuichi 15 1993 Global existence and optimal decay rates for the Timoshenko system: the case of equal wave speeds. Zbl 1310.35155 Mori, Naofumi; Xu, Jiang; Kawashima, Shuichi 15 2015 On spae-time decay properties of solutions to hyperbolic-elliptic coupled systems. Zbl 1021.35015 Iguchi, Tatsuo; Kawashima, Shuichi 14 2002 Stationary waves for the discrete Boltzmann equation in the half-space with reflective boundaries. Zbl 0981.76079 Kawashima, Shuichi; Nishibata, Shinya 13 2000 Stability of stationary solutions to the half-space problem for the discrete Boltzmann equation with multiple collisions. Zbl 0965.35129 Nikkuni, Yoshiko; Kawashima, Shuichi 13 2000 Global solution of the initial value problem for a discrete velocity model of the Boltzmann equation. Zbl 0476.76071 Kawashima, Shuichi 13 1981 Large-time behavior of solutions for hyperbolic-parabolic systems of conservation laws. Zbl 0627.35006 Kawashima, Shuichi 12 1986 Stability of degenerate stationary waves for viscous gases. Zbl 1228.76060 Ueda, Yoshihiro; Nakamura, Tohru; Kawashima, Shuichi 12 2010 Asymptotic behavior of solutions to a model system of a radiating gas. Zbl 1229.35016 Liu, Yongqin; Kawashima, Shuichi 12 2011 \(L^p - L^q - L^r\) estimates and minimal decay regularity for compressible Euler-Maxwell equations. Zbl 1330.35052 Xu, Jiang; Mori, Naofumi; Kawashima, Shuichi 12 2015 Global existence and minimal decay regularity for the Timoshenko system: the case of non-equal wave speeds. Zbl 1348.35136 Xu, Jiang; Mori, Naofumi; Kawashima, Shuichi 12 2015 Large-time behavior of solutions of the discrete Boltzmann equation. Zbl 0627.35007 Kawashima, Shuichi 11 1987 Decay estimates of solutions for quasi-linear hyperbolic systems of viscoelasticity. Zbl 1252.35064 Dharmawardane, Priyanjana M. N.; Nakamura, Tohru; Kawashima, Shuichi 11 2012 A singular limit for hyperbolic-elliptic coupled systems in radiation hydrodynamics. Zbl 0997.35005 Kawashima, Shuichi; Nishibata, Shinya 11 2001 The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem. Zbl 0706.76084 Bellomo, N.; Kawashima, S. 11 1990 Decay property of the Timoshenko-Cattaneo system. Zbl 1338.35052 Mori, Naofumi; Kawashima, Shuichi 11 2016 Mixed problems for quasi-linear symmetric hyperbolic systems. Zbl 0673.35069 Kawashima, Shuichi; Yanagisawa, Taku; Shizuta, Yasushi 10 1987 Weak solutions with a shock to a model system of the radiating gas. Zbl 0915.76074 Kawashima, Shuichi; Nishibata, Shinya 10 1998 Frequency-localization Duhamel principle and its application to the optimal decay of dissipative systems in low dimensions. Zbl 1347.35043 Xu, Jiang; Kawashima, Shuichi 10 2016 Diffusive relaxation limit of classical solutions to the damped compressible Euler equations. Zbl 1329.35238 Xu, Jiang; Kawashima, Shuichi 10 2014 Global well-posedness in critical Besov spaces for two-fluid Euler-Maxwell equations. Zbl 1292.35243 Xu, Jiang; Xiong, Jun; Kawashima, Shuichi 10 2013 Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory. Zbl 1329.35064 Liu, Yongqin; Kawashima, Shuichi 10 2013 New structural conditions on decay property with regularity-loss for symmetric hyperbolic systems with non-symmetric relaxation. Zbl 1407.35029 Ueda, Yoshihiro; Duan, Renjun; Kawashima, Shuichi 9 2018 Asymptotic stability of stationary waves for two-dimensional viscous conservation laws in half plane. Zbl 1066.35041 Kawashima, Shuichi; Nishibata, Shinya; Nishikawa, Masataka 9 2003 Stability of planar stationary waves for damped wave equations with nonlinear convection in multi-dimensional half-space. Zbl 1144.35343 Ueda, Yoshihiro; Nakamura, Tohru; Kawashima, Shuichi 9 2008 Existence of a stationary wave for the discrete Boltzmann equation in the half space. Zbl 0983.82015 Kawashima, Shuichi; Nishibata, Shinya 8 1999 Hardy type inequality and application to the stability of degenerate stationary waves. Zbl 1178.35059 Kawashima, Shuichi; Kurata, Kazuhiro 8 2009 Decay property of regularity-loss type and nonlinear effects for some hyperbolic-elliptic system. Zbl 1177.35034 Kubo, Takekiyo; Kawashima, Shuichi 8 2009 The \(L^p\) energy methods and decay for the compressible Navier-Stokes equations with capillarity. Zbl 1480.76098 Kawashima, Shuichi; Shibata, Yoshihiro; Xu, Jiang 8 2021 Decaying solution of the Navier-Stokes flow of infinite volume without surface tension. Zbl 1239.35111 Hataya, Yasushi; Kawashima, Shuichi 7 2009 Global solutions to quasi-linear hyperbolic systems of viscoelasticity. Zbl 1228.35136 Dharmawardane, Priyanjana M. N.; Nakamura, Tohru; Kawashima, Shuichi 7 2011 Decay structure of two hyperbolic relaxation models with regularity loss. Zbl 1397.35035 Ueda, Yoshihiro; Duan, Renjun; Kawashima, Shuichi 7 2017 Convergence rate to the nonlinear waves for viscous conservation laws on the half line. Zbl 1204.35112 Hashimoto, Itsuko; Ueda, Yoshihiro; Kawashima, Shuichi 7 2009 Large time behavior of solutions to a semilinear hyperbolic system with relaxation. Zbl 1125.35015 Ueda, Yoshihiro; Kawashima, Shuichi 6 2007 Traveling waves for models of phase transitions of solids driven by configurational forces. Zbl 1219.35036 Kawashima, Shuichi; Zhu, Peicheng 6 2011 Global existence and stability of solutions for discrete velocity models of the Boltzmann equation. Zbl 0586.35062 Kawashima, Shuichi 6 1984 Global well-posedness and time-decay of solutions for the compressible Hall-magnetohydrodynamic system in the critical Besov framework. Zbl 1489.35204 Kawashima, Shuichi; Nakasato, Ryosuke; Ogawa, Takayoshi 6 2022 The Navier-Stokes equation in the discrete kinetic theory. Zbl 0663.76089 Kawashima, Shuichi; Shizuta, Yasushi 5 1988 The asymptotic equivalence of the Broadwell model equation and its Navier-Stokes model equation. Zbl 0477.76034 Kawashima, Shuichi 5 1981 The regularity of discrete models of the Boltzmann equation. Zbl 0589.76098 Shizuta, Yasushi; Kawashima, Shuichi 5 1985 Existence and stability of stationary solutions to the discrete Boltzmann equation. Zbl 0739.35073 Kawashima, Shuichi 5 1991 Global solutions to the initial-boundary value problems for the discrete Boltzmann equation. Zbl 0763.35075 Kawashima, Shuichi 5 1991 Mathematical entropy and Euler-Cattaneo-Maxwell system. Zbl 1336.35226 Kawashima, Shuichi; Ueda, Yoshihiro 5 2016 On compactly supported solutions of the compressible Euler equation. Zbl 0651.35009 Makino, Tetu; Ukai, Seiji; Kawashima, Shuichi 4 1987 Le problème aux valeurs initiales en théorie cinétique discrète. (Initial-value problem in discrete kinetic theory). Zbl 0658.76077 Cabannes, Henri; Kawashima, Shuichi 4 1988 Dissipative structure of regularity-loss type applications. Zbl 1140.35354 Kawashima, S. 4 2008 On solutions to \(u_{tt} - | x|^ \alpha\Delta u = f(u)\quad (\alpha >0)\). Zbl 0842.35063 Ebihara, Yukiyoshi; Kawashima, Shuichi; Levine, Howard A. 4 1995 On Cabannes’ 32-velocity models of the Boltzmann equation. Zbl 0622.76079 Kawashima, Shuichi; Watanabe, Akemi; Maeji, Machi; Shizuta, Yasushi 4 1986 Global solutions to the equation of thermoelasticity with fading memory. Zbl 1367.35009 Okada, Mari; Kawashima, Shuichi 4 2017 Global well-posedness and time-decay of solutions for the compressible Hall-magnetohydrodynamic system in the critical Besov framework. Zbl 1489.35204 Kawashima, Shuichi; Nakasato, Ryosuke; Ogawa, Takayoshi 6 2022 Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion. Zbl 1484.35157 Kawashima, Shuichi; Shibata, Yoshihiro; Xu, Jiang 3 2022 Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect. Zbl 1498.35424 Kawashima, Shuichi; Nakasato, Ryosuke; Ogawa, Takayoshi 1 2022 The \(L^p\) energy methods and decay for the compressible Navier-Stokes equations with capillarity. Zbl 1480.76098 Kawashima, Shuichi; Shibata, Yoshihiro; Xu, Jiang 8 2021 Decay property for symmetric hyperbolic system with memory-type diffusion. Zbl 1456.35037 Okada, Mari; Mori, Naofumi; Kawashima, Shuichi 2 2021 Dissipative structure and asymptotic profiles for symmetric hyperbolic systems with memory. Zbl 1480.35047 Taniue, Shogo; Kawashima, Shuichi 1 2021 Global existence for a semi-discrete scheme of some quasilinear hyperbolic balance laws. Zbl 1459.35273 Yoshikawa, Shuji; Kawashima, Shuichi 1 2021 Global existence and optimal time-decay estimates of solutions to the generalized double dispersion equation on the framework of Besov spaces. Zbl 1426.35086 Wang, Yuzhu; Xu, Jiang; Kawashima, Shuichi 4 2020 Asymptotic stability of rarefaction waves for a hyperbolic system of balance laws. Zbl 1421.35214 Nakamura, Kenta; Nakamura, Tohru; Kawashima, Shuichi 4 2019 New structural conditions on decay property with regularity-loss for symmetric hyperbolic systems with non-symmetric relaxation. Zbl 1407.35029 Ueda, Yoshihiro; Duan, Renjun; Kawashima, Shuichi 9 2018 Viscous shock profile and singular limit for hyperbolic systems with Cattaneo’s law. Zbl 1421.35216 Nakamura, Tohru; Kawashima, Shuichi 4 2018 Dissipative structure for symmetric hyperbolic systems with memory. Zbl 1402.35165 Kawashima, Shuichi; Taniue, Shogo 2 2018 Decay structure of two hyperbolic relaxation models with regularity loss. Zbl 1397.35035 Ueda, Yoshihiro; Duan, Renjun; Kawashima, Shuichi 7 2017 Global solutions to the equation of thermoelasticity with fading memory. Zbl 1367.35009 Okada, Mari; Kawashima, Shuichi 4 2017 Discrete kinetic theory and hyperbolic balance laws. Zbl 1400.82219 Kawashima, Shuichi 2 2017 Decay property of the Timoshenko-Cattaneo system. Zbl 1338.35052 Mori, Naofumi; Kawashima, Shuichi 11 2016 Frequency-localization Duhamel principle and its application to the optimal decay of dissipative systems in low dimensions. Zbl 1347.35043 Xu, Jiang; Kawashima, Shuichi 10 2016 Mathematical entropy and Euler-Cattaneo-Maxwell system. Zbl 1336.35226 Kawashima, Shuichi; Ueda, Yoshihiro 5 2016 Stability of stationary solutions for the non-isentropic Euler-Maxwell system in the whole space. Zbl 1356.35042 Ueda, Yoshihiro; Kawashima, Shuichi 1 2016 The optimal decay estimates on the framework of Besov spaces for generally dissipative systems. Zbl 1323.35141 Xu, Jiang; Kawashima, Shuichi 35 2015 Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation. Zbl 1311.35141 Kawashima, Shuichi; Wang, Yu-Zhu 20 2015 Global existence and optimal decay rates for the Timoshenko system: the case of equal wave speeds. Zbl 1310.35155 Mori, Naofumi; Xu, Jiang; Kawashima, Shuichi 15 2015 \(L^p - L^q - L^r\) estimates and minimal decay regularity for compressible Euler-Maxwell equations. Zbl 1330.35052 Xu, Jiang; Mori, Naofumi; Kawashima, Shuichi 12 2015 Global existence and minimal decay regularity for the Timoshenko system: the case of non-equal wave speeds. Zbl 1348.35136 Xu, Jiang; Mori, Naofumi; Kawashima, Shuichi 12 2015 Large time behavior of solutions to symmetric hyperbolic systems with non-symmetric relaxation. Zbl 1342.35168 Ueda, Yoshihiro; Duan, Renjun; Kawashima, Shuichi 3 2015 Dissipative structure of the coupled kinetic-fluid models. Zbl 1342.35167 Duan, Renjun; Kawashima, Shuichi; Ueda, Yoshihiro 3 2015 The optimal decay estimates on the framework of Besov spaces for the Euler-Poisson two-fluid system. Zbl 1321.35177 Xu, Jiang; Kawashima, Shuichi 3 2015 Asymptotic profile of solutions to a hyperbolic Cahn-Hilliard equation. Zbl 1343.35171 Takeda, Hiroshi; Maekawa, Yasunori; Kawashima, Shuichi 1 2015 Global classical solutions for partially dissipative hyperbolic system of balance laws. Zbl 1293.35173 Xu, Jiang; Kawashima, Shuichi 28 2014 Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system. Zbl 1304.35517 Feng, Yue-Hong; Wang, Shu; Kawashima, Shuichi 23 2014 Decay property for the Timoshenko system with Fourier’s type heat conduction. Zbl 1288.35084 Mori, Naofumi; Kawashima, Shuichi 23 2014 Diffusive relaxation limit of classical solutions to the damped compressible Euler equations. Zbl 1329.35238 Xu, Jiang; Kawashima, Shuichi 10 2014 Asymptotic behavior of solutions to the generalized cubic double dispersion equation in one space dimension. Zbl 1284.35257 Kato, Masakazu; Wang, Yu-Zhu; Kawashima, Shuichi 20 2013 Global well-posedness in critical Besov spaces for two-fluid Euler-Maxwell equations. Zbl 1292.35243 Xu, Jiang; Xiong, Jun; Kawashima, Shuichi 10 2013 Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory. Zbl 1329.35064 Liu, Yongqin; Kawashima, Shuichi 10 2013 Dissipative structure of the regularity-loss type and time asymptotic decay of solutions for the Euler-Maxwell system. Zbl 1252.35073 Ueda, Yoshihiro; Wang, Shu; Kawashima, Shuichi 42 2012 Decay structure for symmetric hyperbolic systems with non-symmetric relaxation and its application. Zbl 1273.35051 Ueda, Yoshihiro; Duan, Renjun; Kawashima, Shuichi 42 2012 Decay property for the Timoshenko system with memory-type dissipation. Zbl 1257.35044 Liu, Yongqin; Kawashima, Shuichi 22 2012 Decay estimates of solutions for quasi-linear hyperbolic systems of viscoelasticity. Zbl 1252.35064 Dharmawardane, Priyanjana M. N.; Nakamura, Tohru; Kawashima, Shuichi 11 2012 Asymptotic stability of stationary solutions to the drift-diffusion model in the whole space. Zbl 1262.35036 Kobayashi, Ryo; Yamamoto, Masakazu; Kawashima, Shuichi 1 2012 Decay property of regularity-loss type for the Euler-Maxwell system. Zbl 1282.35069 Kawashima, Shuichi; Ueda, Yoshihiro 41 2011 Decay property for a plate equation with memory-type dissipation. Zbl 1225.35150 Liu, Yongqin; Kawashima, Shuichi 30 2011 Global existence and asymptotic behavior of solutions for quasi-linear dissipative plate equation. Zbl 1215.35035 Liu, Yongqin; Kawashima, Shuichi 20 2011 Global existence and decay of solutions for a quasi-linear dissipative plate equation. Zbl 1232.35023 Liu, Yongqin; Kawashima, Shuichi 19 2011 Asymptotic behavior of solutions to a model system of a radiating gas. Zbl 1229.35016 Liu, Yongqin; Kawashima, Shuichi 12 2011 Global solutions to quasi-linear hyperbolic systems of viscoelasticity. Zbl 1228.35136 Dharmawardane, Priyanjana M. N.; Nakamura, Tohru; Kawashima, Shuichi 7 2011 Traveling waves for models of phase transitions of solids driven by configurational forces. Zbl 1219.35036 Kawashima, Shuichi; Zhu, Peicheng 6 2011 Energy method in the partial Fourier space and application to stability problems in the half space. Zbl 1209.35019 Ueda, Yoshihiro; Nakamura, Tohru; Kawashima, Shuichi 2 2011 Decay estimates of solutions to a semi-linear dissipative plate equation. Zbl 1207.35229 Sugitani, Yousuke; Kawashima, Shuichi 50 2010 Stationary waves to viscous heat-conductive gases in half-space: existence, stability and convergence rate. Zbl 1213.35104 Kawashima, Shuichi; Nakamura, Tohru; Nishibata, Shinya; Zhu, Peicheng 33 2010 Decay property for second order hyperbolic systems of viscoelastic materials. Zbl 1190.35031 Dharmawardane, Priyanjana M. N.; Muñoz Rivera, Jaime E.; Kawashima, Shuichi 24 2010 Stability of degenerate stationary waves for viscous gases. Zbl 1228.76060 Ueda, Yoshihiro; Nakamura, Tohru; Kawashima, Shuichi 12 2010 Convergence rate toward degenerate stationary wave for compressible viscous gases. Zbl 1227.35072 Nakamura, Tohru; Ueda, Yoshihiro; Kawashima, Shuichi 2 2010 Asymptotic stability of rarefaction wave for the Navier-Stokes equations for a compressible fluid in the half-space. Zbl 1273.76353 Kawashima, Shuichi; Zhu, Peicheng 33 2009 Decay estimates for hyperbolic balance laws. Zbl 1173.35365 Kawashima, Shuichi; Yong, Wen-An 33 2009 Hardy type inequality and application to the stability of degenerate stationary waves. Zbl 1178.35059 Kawashima, Shuichi; Kurata, Kazuhiro 8 2009 Decay property of regularity-loss type and nonlinear effects for some hyperbolic-elliptic system. Zbl 1177.35034 Kubo, Takekiyo; Kawashima, Shuichi 8 2009 Decaying solution of the Navier-Stokes flow of infinite volume without surface tension. Zbl 1239.35111 Hataya, Yasushi; Kawashima, Shuichi 7 2009 Convergence rate to the nonlinear waves for viscous conservation laws on the half line. Zbl 1204.35112 Hashimoto, Itsuko; Ueda, Yoshihiro; Kawashima, Shuichi 7 2009 Stationary solutions to the drift-diffusion model in the whole spaces. Zbl 1173.78301 Kobayashi, Ryo; Kurokiba, Masaki; Kawashima, Shuichi 2 2009 Decay property of regularity-loss type for dissipative Timoshenko system. Zbl 1153.35013 Ide, Kentaro; Haramoto, Kazuo; Kawashima, Shuichi 80 2008 Decay property of regularity-loss type and nonlinear effects for dissipative Timoshenko system. Zbl 1160.35346 Ide, Kentaro; Kawashima, Shuichi 56 2008 Asymptotic stability of nonlinear wave for the compressible Navier-Stokes equations in the half space. Zbl 1149.35011 Kawashima, Shuichi; Zhu, Peicheng 33 2008 Decay estimates and large time behavior of solutions to the drift-diffusion system. Zbl 1173.35366 Kobayashi, Ryo; Kawashima, Shuichi 16 2008 Stability of planar stationary waves for damped wave equations with nonlinear convection in multi-dimensional half-space. Zbl 1144.35343 Ueda, Yoshihiro; Nakamura, Tohru; Kawashima, Shuichi 9 2008 Dissipative structure of regularity-loss type applications. Zbl 1140.35354 Kawashima, S. 4 2008 Large time behavior of solutions to a semilinear hyperbolic system with relaxation. Zbl 1125.35015 Ueda, Yoshihiro; Kawashima, Shuichi 6 2007 Decay property of regularity-loss type and application to some nonlinear hyperbolic–elliptic system. Zbl 1108.35014 Hosono, Takafumi; Kawashima, Shuichi 60 2006 Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space. Zbl 1117.35062 Kagei, Yoshiyuki; Kawashima, Shuichi 47 2006 Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system. Zbl 1102.35005 Kagei, Yoshiyuki; Kawashima, Shuichi 28 2006 Dissipative structure and entropy for hyperbolic systems of balance laws. Zbl 1065.35187 Kawashima, S.; Yong, W.-A. 47 2004 Stability of rarefaction waves for a model system of a radiating gas. Zbl 1068.35106 Kawashima, Shuichi; Tanaka, Yoshihito 44 2004 \(L^p\) energy method for multi-dimensional viscous conservation laws and application to the stability of planar waves. Zbl 1067.35019 Kawashima, Shuichi; Nishibata, Shinya; Nishikawa, Masataka 32 2004 Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space. Zbl 1038.35057 Kawashima, Shuichi; Nishibata, Shinya; Zhu, Peicheng 85 2003 Large-time behavior of solutions to hyperbolic-elliptic coupled systems. Zbl 1073.35039 Kawashima, Shuichi; Nikkuni, Yoshiko; Nishibata, Shinya 22 2003 Asymptotic stability of stationary waves for two-dimensional viscous conservation laws in half plane. Zbl 1066.35041 Kawashima, Shuichi; Nishibata, Shinya; Nishikawa, Masataka 9 2003 On spae-time decay properties of solutions to hyperbolic-elliptic coupled systems. Zbl 1021.35015 Iguchi, Tatsuo; Kawashima, Shuichi 14 2002 Asymptotic stability of rarefaction waves for some discrete velocity model of the Boltzmann equation in the half-space. Zbl 1180.76052 Nikkuni, Yoshiko; Kawashima, Shuichi 2 2002 A singular limit for hyperbolic-elliptic coupled systems in radiation hydrodynamics. Zbl 0997.35005 Kawashima, Shuichi; Nishibata, Shinya 11 2001 Stationary waves for the discrete Boltzmann equation in the half-space with reflective boundaries. Zbl 0981.76079 Kawashima, Shuichi; Nishibata, Shinya 13 2000 Stability of stationary solutions to the half-space problem for the discrete Boltzmann equation with multiple collisions. Zbl 0965.35129 Nikkuni, Yoshiko; Kawashima, Shuichi 13 2000 Shock waves for a model system of the radiating gas. Zbl 0924.35082 Kawashima, Shuichi; Nishibata, Shinya 51 1999 Cauchy problem for a model system of the radiating gas: weak solutions with a jump and classical solutions. Zbl 0935.35098 Kawashima, Shuichi; Nishibata, Shinya 34 1999 Existence of a stationary wave for the discrete Boltzmann equation in the half space. Zbl 0983.82015 Kawashima, Shuichi; Nishibata, Shinya 8 1999 The initial value problem for hyperbolic-elliptic coupled systems and applications to radiation hydrodynamics. Zbl 0942.35048 Kawashima, Shuichi; Nikkuni, Yoshiko; Nishibata, Shinya 35 1998 Weak solutions with a shock to a model system of the radiating gas. Zbl 0915.76074 Kawashima, Shuichi; Nishibata, Shinya 10 1998 Exponentially decaying component of a global solution to a reaction-diffusion system. Zbl 0942.35032 Hoshino, Hiroki; Kawashima, Shuichi 2 1998 Nonlinear stability of travelling wave solutions for viscoelastic materials with fading memory. Zbl 0857.35083 Hattori, Harumi; Kawashima, Shuichi 1 1996 On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term. Zbl 0852.35099 Kawashima, Shuichi; Nakao, Mitsuhiro; Ono, Kosuke 72 1995 On solutions to \(u_{tt} - | x|^ \alpha\Delta u = f(u)\quad (\alpha >0)\). Zbl 0842.35063 Ebihara, Yukiyoshi; Kawashima, Shuichi; Levine, Howard A. 4 1995 On the Neumann problem of one-dimensional nonlinear thermoelasticity with time-inpendent external forces. Zbl 0837.35142 Kawashima, Shuichi; Shibata, Yoshihiro 1 1995 Asymptotic equivalence of a reaction-diffusion system to the corresponding system of ordinary differential equations. Zbl 0841.35052 Hoshino, Hiroki; Kawashima, Shuichi 1 1995 Stability of shock profiles in viscoelasticity with non-convex constitutive relations. Zbl 0820.73030 Kawashima, Shuichi; Matsumura, Akitaka 36 1994 Global solutions to the equation of viscoelasticity with fading memory. Zbl 0818.35017 Kawashima, Shuichi 15 1993 Self-similar solutions of a convection-diffusion equation. Zbl 0820.35080 Kawashima, Shuichi 3 1993 Global existence and exponential stability of small solutions to nonlinear viscoelasticity. Zbl 0779.35066 Kawashima, S.; Shibata, Y. 65 1992 Large-time behavior of solutions to the discrete Boltzmann equation in the half-space. Zbl 0813.76079 Kawashima, Shuichi 1 1992 Existence and stability of stationary solutions to the discrete Boltzmann equation. Zbl 0739.35073 Kawashima, Shuichi 5 1991 Global solutions to the initial-boundary value problems for the discrete Boltzmann equation. Zbl 0763.35075 Kawashima, Shuichi 5 1991 The Boltzmann equation and thirteen moments. Zbl 0702.76090 Kawashima, Shuichi 43 1990 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,227 Authors 76 Kawashima, Shuichi 47 Zhao, Huijiang 36 Xu, Jiang 33 Yang, Tong 33 Zhu, Changjiang 30 Said-Houari, Belkacem 28 Tan, Zhong 27 Duan, Renjun 27 Zumbrun, Kevin R. 22 Wang, Weike 21 Nishihara, Kenji 21 Ueda, Yoshihiro 19 Ikehata, Ryo 18 Matsumura, Akitaka 18 Racke, Reinhard 18 Yin, Haiyan 18 Zhu, Shengguo 17 Nishibata, Shinya 17 Wang, Yuzhu 17 Yong, Wen-An 16 Fan, Lili 16 Huang, Feimin 16 Qin, Yuming 15 Li, Yachun 15 Xin, Zhouping 15 Yao, Zhengan 15 Yu, Hongjun 14 Fan, Jishan 14 Li, Fucai 14 Li, Yeping 14 Nakamura, Tohru 14 Ruan, Lizhi 14 Zeng, Yanni 14 Zhu, Peicheng 13 Giovangigli, Vincent 13 Kagei, Yoshiyuki 13 Wang, Shu 12 Feng, Yuehong 12 Jiang, Peng 12 Jiang, Song 12 Li, Hailiang 12 Peng, Yuejun 12 Shibata, Yoshihiro 12 Takeda, Hiroshi 12 Wang, Yinxia 11 Hu, Yuxi 11 Liu, Shuangqian 11 Ruggeri, Tommaso 11 Shi, Xiaoding 11 Wang, Wenjun 10 Chen, Zhengzheng 10 D’Abbicco, Marcello 10 Liu, Tai-Ping 10 Mei, Ming 10 Mori, Naofumi 10 Zhang, Lan 9 Charão, Ruy Coimbra 9 Jüngel, Ansgar 9 Liu, Yongqin 9 Nakamura, Gen 9 Nikolić, Vanja 9 Ono, Kosuke 9 Pan, Ronghua 9 Wang, Dehua 9 Wang, Haitao 9 Wang, Yong 9 Xie, Feng 9 Yamamoto, Masakazu 8 Carles, Rémi 8 Geng, Yongcai 8 Messaoudi, Salim A. 8 Natalini, Roberto 8 Tong, Leilei 8 Wang, Tao 8 Yang, Zhijian 8 Zeng, Huihui 8 Zhang, Yinghui 7 Danchin, Raphaël 7 Duan, Ran 7 Guo, Boling 7 He, Lin 7 Hong, Hakho 7 Li, Tong 7 Li, Xin 7 Mascia, Corrado 7 Ogawa, Takayoshi 7 Peng, Hongyun 7 Shizuta, Yasushi 7 Suzuki, Masahiro 7 Wakasugi, Yuta 7 Wang, Yanjin 7 Wang, Zhian 7 Wu, Guochun 7 Xu, Fuyi 7 Xu, Xin 7 Yoshida, Natsumi 7 Yu, Shih-Hsien 7 Zhang, Jianwen 6 Chen, Gui-Qiang G. 6 Crin-Barat, Timothée ...and 1,127 more Authors all top 5 Cited in 198 Serials 221 Journal of Differential Equations 128 Journal of Mathematical Analysis and Applications 77 Nonlinear Analysis. 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