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Author ID: kawashima.shuichi Recent zbMATH articles by "Kawashima, Shuichi"
Published as: Kawashima, Shuichi; Kawashima, S.; Kawashima, Shūichi
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

Publications by Year

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 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
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Cited in 198 Serials

221 Journal of Differential Equations
128 Journal of Mathematical Analysis and Applications
77 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
73 Archive for Rational Mechanics and Analysis
53 ZAMP. Zeitschrift für angewandte Mathematik und Physik
52 SIAM Journal on Mathematical Analysis
49 Journal of Hyperbolic Differential Equations
46 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
45 Mathematical Methods in the Applied Sciences
42 Nonlinear Analysis. Real World Applications
40 Communications in Mathematical Physics
38 Journal of Mathematical Physics
34 Communications on Pure and Applied Analysis
30 Applicable Analysis
25 Discrete and Continuous Dynamical Systems
23 Journal of Mathematical Fluid Mechanics
22 Kinetic and Related Models
18 Communications in Partial Differential Equations
18 Acta Mathematica Scientia. Series B. (English Edition)
17 Quarterly of Applied Mathematics
16 Science China. Mathematics
15 Journal of Statistical Physics
15 Acta Mathematicae Applicatae Sinica. English Series
15 Boundary Value Problems
14 Journal de Mathématiques Pures et Appliquées. Neuvième Série
13 Transport Theory and Statistical Physics
13 Physica D
13 Analysis and Applications (Singapore)
12 Nonlinearity
12 Transactions of the American Mathematical Society
12 Japan Journal of Industrial and Applied Mathematics
10 Communications on Pure and Applied Mathematics
10 Japan Journal of Applied Mathematics
10 Applied Mathematics Letters
10 Discrete and Continuous Dynamical Systems. Series B
8 Applied Mathematics and Optimization
8 Acta Applicandae Mathematicae
8 NoDEA. Nonlinear Differential Equations and Applications
8 Journal of Evolution Equations
8 Bulletin of the Brazilian Mathematical Society. New Series
7 Applied Mathematics and Computation
7 Proceedings of the Japan Academy. Series A
7 Zeitschrift für Analysis und ihre Anwendungen
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Asymptotic Analysis
7 Evolution Equations and Control Theory
6 Osaka Journal of Mathematics
6 Chinese Annals of Mathematics. Series B
6 Journal of Dynamics and Differential Equations
5 Advances in Mathematics
5 Mathematische Annalen
5 Ricerche di Matematica
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Calculus of Variations and Partial Differential Equations
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 Advances in Nonlinear Analysis
5 Nonlinear Analysis. Theory, Methods & Applications
4 Computers & Mathematics with Applications
4 Journal of Computational Physics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Indiana University Mathematics Journal
4 Journal of Functional Analysis
4 Proceedings of the American Mathematical Society
4 SIAM Journal on Applied Mathematics
4 Journal of Inequalities and Applications
4 Acta Mathematica Sinica. English Series
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Communications in Mathematical Analysis and Applications
3 Physica A
3 Journal of Computational and Applied Mathematics
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 SIAM Journal on Numerical Analysis
3 Applied Numerical Mathematics
3 Mathematical and Computer Modelling
3 Journal of Nonlinear Science
3 European Journal of Mechanics. B. Fluids
3 Communications in Contemporary Mathematics
3 International Journal of Differential Equations
3 Pure and Applied Analysis
2 Mathematics of Computation
2 Archiv der Mathematik
2 Inventiones Mathematicae
2 Journal of the Mathematical Society of Japan
2 Mathematische Zeitschrift
2 Memoirs of the American Mathematical Society
2 Studies in Applied Mathematics
2 Journal of the American Mathematical Society
2 International Journal of Mathematics
2 The Journal of Geometric Analysis
2 Applications of Mathematics
2 Electronic Journal of Differential Equations (EJDE)
2 Computational and Applied Mathematics
2 Wuhan University Journal of Natural Sciences (WUJNS)
2 Annales Henri Poincaré
2 Journal of Nonlinear Mathematical Physics
2 Journal of Applied Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Advances in Difference Equations
2 Networks and Heterogeneous Media
2 Discrete and Continuous Dynamical Systems. Series S
...and 98 more Serials
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Cited in 41 Fields

1,496 Partial differential equations (35-XX)
853 Fluid mechanics (76-XX)
181 Statistical mechanics, structure of matter (82-XX)
137 Mechanics of deformable solids (74-XX)
58 Classical thermodynamics, heat transfer (80-XX)
46 Optics, electromagnetic theory (78-XX)
35 Numerical analysis (65-XX)
33 Biology and other natural sciences (92-XX)
27 Systems theory; control (93-XX)
24 Integral equations (45-XX)
20 Dynamical systems and ergodic theory (37-XX)
18 Operator theory (47-XX)
18 Astronomy and astrophysics (85-XX)
15 Ordinary differential equations (34-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
9 Real functions (26-XX)
9 Approximations and expansions (41-XX)
8 Quantum theory (81-XX)
8 Relativity and gravitational theory (83-XX)
6 Functional analysis (46-XX)
6 Probability theory and stochastic processes (60-XX)
4 Special functions (33-XX)
4 Geophysics (86-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
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