×
Edit Profile (opens in new tab)

Matsumura, Akitaka

Co-Author Distance
Author ID: matsumura.akitaka Recent zbMATH articles by "Matsumura, Akitaka"
Published as: Matsumura, Akitaka; Matsumura, A.
Homepage: http://www4.math.sci.osaka-u.ac.jp/~akitaka/
Documents Indexed: 69 Publications since 1976
7 Contributions as Editor · 1 Further Contribution
Co-Authors: 29 Co-Authors with 63 Joint Publications
927 Co-Co-Authors
all top 5

Co-Authors

13 single-authored
13 Nishihara, Kenji
10 Kawashima, Shuichi
9 Huang, Feimin
9 Nishida, Takaaki
6 Li, Hailiang
4 Hashimoto, Itsuko
4 Shi, Xiaoding
3 Nishibata, Shinya
2 Asakura, Fumioki
2 Jüngel, Ansgar
2 Katayama, Soichiro
2 Komatsu, Yukie
2 Li, Jing
2 Mei, Ming
2 Yanagi, Shigenori
2 Yoshida, Natsumi
1 Fan, Lili
1 Haruki, Shigeru
1 Hata, Masayoshi
1 Hayabara, Sirō
1 Hitotumatu, Sin
1 Hokari, Hisaaki
1 Huang, Xiangdi
1 Hukuhara, Masuo
1 Ikeuchi, Masatoshi
1 Junji, Kato
1 Kano, Tadayoshi
1 Kano, Takeshi
1 Kimura, Tosihusa
1 Kondō, Shūzō
1 Kotani, Shinichi
1 Kuwagaki, Akira
1 Liu, Tai-Ping
1 Maeda, Shigeru
1 Mauclaire, Jean-Loup
1 Murata, Leo
1 Odanaka, Shinji
1 Ozawa, Mitsuru
1 Shimizu, Ryoichi
1 Sunagawa, Hideaki
1 Tanaka, Sen-ichiro
1 Tsutsumi, Akira
1 Wang, Yang
1 Xin, Zhouping
1 Yamagata, Naruhiko
1 Yamaguchi, Masaya
1 Yanagihara, Niro
1 Yanagisawa, Taku
1 Zhang, Guojing
all top 5

Serials

11 Communications in Mathematical Physics
7 RIMS Kokyuroku
6 Osaka Journal of Mathematics
5 Archive for Rational Mechanics and Analysis
5 SIAM Journal on Mathematical Analysis
4 Journal of Differential Equations
4 Methods and Applications of Analysis
3 Journal of Mathematics of Kyoto University
3 Proceedings of the Japan Academy. Series A
3 Japan Journal of Applied Mathematics
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Communications on Pure and Applied Mathematics
1 Transport Theory and Statistical Physics
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quarterly of Applied Mathematics
1 Sūgaku
1 Asymptotic Analysis
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 NoDEA. Nonlinear Differential Equations and Applications
1 Nonlinear Analysis. Theory, Methods & Applications
1 RIMS Kokyuroku
all top 5

Fields

65 Partial differential equations (35-XX)
53 Fluid mechanics (76-XX)
8 General and overarching topics; collections (00-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Ordinary differential equations (34-XX)
3 Mechanics of deformable solids (74-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Numerical analysis (65-XX)
2 Optics, electromagnetic theory (78-XX)
1 Difference and functional equations (39-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

60 Publications have been cited 3,921 times in 1,974 Documents Cited by ▼ Year ▼
The initial value problem for the equations of motion of viscous and heat-conductive gases. Zbl 0429.76040
Matsumura, Akitaka; Nishida, Takaaki
706
1980
Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0543.76099
Matsumura, Akitaka; Nishida, Takaaki
393
1983
The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0447.76053
Matsumura, Akitaka; Nishida, Takaaki
310
1979
On the asymptotic behavior of solutions of semi-linear wave equations. Zbl 0356.35008
Matsumura, Akitaka
239
1976
Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion. Zbl 0624.76095
Kawashima, Shuichi; Matsumura, Akitaka
197
1985
Asymptotics toward the rarefaction waves of the solutions of a one- dimensional model system for compressible viscous gas. Zbl 0612.76086
Matsumura, Akitaka; Nishihara, Kenji
184
1986
On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas. Zbl 0602.76080
Matsumura, Akitaka; Nishihara, Kenji
144
1985
Optimal decay rate of the compressible Navier-Stokes-Poisson system in \(\mathbb R^3\). Zbl 1205.35201
Li, Hailiang; Matsumura, Akitaka; Zhang, Guojing
133
2010
Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas. Zbl 0745.76069
Matsumura, Akitaka; Nishihara, Kenji
124
1992
Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier-Stokes system. Zbl 1273.76259
Huang, Feimin; Li, Jing; Matsumura, Akitaka
104
2010
Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations. Zbl 1079.76032
Huang, Feimin; Matsumura, Akitaka; Xin, Zhouping
100
2006
Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation. Zbl 0371.35030
Matsumura, Akitaka
92
1977
Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity. Zbl 0811.35080
Matsumura, Akitaka; Nishihara, Kenji
85
1994
Large-time behaviors of solutions to an inflow problem in the half-space for a one-dimensional system of compressible viscous gas. Zbl 1018.76038
Matsumura, Akitaka; Nishihara, Kenji
80
2001
Convergence to travelling fronts of solutions of the \(p\)-system with viscosity in the presence of a boundary. Zbl 0957.76072
Matsumura, Akitaka; Mei, Ming
78
1999
Behaviors of solutions for the Burgers equation with boundary corresponding to rarefaction waves. Zbl 0916.35103
Liu, Tai-Ping; Matsumura, Akitaka; Nishihara, Kenji
66
1998
Asymptotic behavior of solutions for the equations of a viscous heat- conductive gas. Zbl 0624.76097
Kawashima, Shuichi; Matsumura, Akitaka; Nishihara, Kenji
65
1986
Inflow and outflow problems in the half-space for a one-dimensional isentropic model system of compressible viscous gas. Zbl 1161.76555
Matsumura, Akitaka
61
2001
Stability of a composite wave of two viscous shock waves for the full compressible Navier-Stokes equation. Zbl 1172.35054
Huang, Feimin; Matsumura, Akitaka
61
2009
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
59
1979
Global asymptotics toward the rarefaction wave for solutions of viscous \(p\)-system with boundary effect. Zbl 1157.35318
Matsumura, Akitaka; Nishihara, Kenji
52
2000
Initial boundary value problems for the equations of motion of general fluids. Zbl 0505.76083
Matsumura, Akitaka; Nishida, Takaaki
51
1982
Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas. Zbl 1048.35083
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding
49
2003
On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary. Zbl 1062.35066
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding
41
2004
Stability of shock profiles in viscoelasticity with non-convex constitutive relations. Zbl 0820.73030
Kawashima, Shuichi; Matsumura, Akitaka
35
1994
The fixed boundary value problems for the equations of ideal magneto- hydrodynamics with a perfectly conducting wall condition. Zbl 0726.76111
Yanagisawa, Taku; Matsumura, Akitaka
33
1991
Existence and stability of steady-state of one-dimensional quantum hydrodynamic system for semiconductors. Zbl 1160.76444
Huang, Feimin; Li, Hai-Liang; Matsumura, Akitaka
32
2006
Energy decay of solutions of dissipative wave equations. Zbl 0387.35041
Matsumura, Akitaka
32
1977
The relaxation-time limit in the quantum hydrodynamic equations for semiconductors. Zbl 1147.82364
Jüngel, Ansgar; Li, Hai-Liang; Matsumura, Akitaka
29
2006
Asymptotics toward the rarefaction wave of the solutions of Burgers’ equation with nonlinear degenerate viscosity. Zbl 0811.35127
Matsumura, Akitaka; Nishihara, Kenji
22
1994
Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas. Zbl 0849.35109
Matsumura, Akitaka; Yanagi, Shigenori
21
1996
Global weak solutions of the Navier-Stokes equations for multidimensional compressible flow subject to large external potential forces. Zbl 0980.35128
Matsumura, Akitaka; Yamagata, Naruhiko
18
2001
Behaviour of the Fokker-Planck-Boltzmann equation near a Maxwellian. Zbl 1140.76037
Li, Hailiang; Matsumura, Akitaka
17
2008
Asymptotics toward rarefaction wave of solutions of the Broadwell model of a discrete velocity gas. Zbl 0663.76079
Matsumura, Akitaka
17
1987
Asymptotic stability of a composite wave of two viscous shock waves for a one-dimensional system of non-viscous and heat-conductive ideal gas. Zbl 1309.35047
Fan, Lili; Matsumura, Akitaka
16
2015
Periodic solutions of a viscous gas equation. Zbl 0697.35015
Matsumura, Akitaka; Nishida, Takaaki
16
1989
Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions. Zbl 1330.35256
Katayama, Soichiro; Matsumura, Akitaka; Sunagawa, Hideaki
15
2015
Asymptotic stability of viscous shock wave for a one-dimensional isentropic model of viscous gas with density dependent viscosity. Zbl 1242.76059
Matsumura, Akitaka; Wang, Yang
15
2010
Large-time behavior of solutions to an initial-boundary value problem on the half line for scalar viscous conservation law. Zbl 1149.35057
Hashimoto, Itsuko; Matsumura, Akitaka
14
2007
A gas-solid free boundary problem for a compressible viscous gas. Zbl 1035.35070
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding
14
2003
Exterior stationary problems for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0679.76076
Matsumura, Akitaka; Nishida, Takaaki
13
1989
Asymptotics toward one-dimensional rarefaction wave for the solution of two-dimensional compressible Euler equation with an artificial viscosity. Zbl 0895.35080
Hokari, Hisaaki; Matsumura, Akitaka
12
1997
On the Navier-Stokes equations for three-dimensional compressible barotropic flow subject to large external potential forces with discontinuous initial data. Zbl 1215.35120
Li, Jing; Matsumura, Akitaka
12
2011
Asymptotic behavior of solutions to the Cauchy problem for the scalar viscous conservation law with partially linearly degenerate flux. Zbl 1255.35048
Matsumura, Akitaka; Yoshida, Natsumi
12
2012
Nonlinear stability of viscous shock profile for a non-convex system of viscoelasticity. Zbl 0945.74539
Matsumura, Akitaka; Mei, Ming
11
1997
Large-time behavior of the spherically symmetric solutions of an isothermal model of compressible viscous gas. Zbl 0793.76070
Matsumura, Akitaka
8
1992
Inflow and outflow problems in the half-space for a one-dimensional isentropic model system of compressible viscous gas. Zbl 1042.76550
Matsumura, Akitaka
6
2001
Well-posedness and stability of quantum hydrodynamics for semiconductors in \(\mathbb{R}^3\). Zbl 1218.35173
Huang, Feimin; Li, Hailiang; Matsumura, Akitaka; Odanaka, Shinji
6
2010
Global asymptotics toward the rarefaction waves for solutions to the Cauchy problem of the scalar conservation law with nonlinear viscosity. Zbl 1446.35062
Matsumura, Akitaka; Yoshida, Natsumi
5
2020
A characterization on breakdown of smooth spherically symmetric solutions of the isentropic system of compressible Navier-Stokes equations. Zbl 1317.35175
Huang, Xiangdi; Matsumura, Akitaka
3
2015
Initial boundary value problems for the equations of compressible viscous and heat-conductive fluid. Zbl 0534.35058
Matsumura, Akitaka; Nishida, Takaaki
2
1983
Asymptotic behavior toward nonlinear waves for radially symmetric solutions of the multi-dimensional Burgers equation. Zbl 1437.35073
Hashimoto, Itsuko; Matsumura, Akitaka
2
2019
Existence of radially symmetric stationary solutions for the compressible Navier-Stokes equation. Zbl 1515.35183
Hashimoto, Itsuko; Matsumura, Akitaka
2
2021
Sharp lower bound for the lifespan of systems of semilinear wave equations with multiple speeds. Zbl 1174.35450
Katayama, Soichiro; Matsumura, Akitaka
1
2005
Viscous shock wave to a gas-solid free boundary problem for compressible gas. Zbl 1083.35113
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding
1
2004
Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas. Zbl 0939.35153
Matsumura, Akitaka; Yanagi, Shigenori
1
1995
A period-doubling bifurcation for the Duffing equation. Zbl 0891.34046
Komatsu, Yukie; Kotani, Shinichi; Matsumura, Akitaka
1
1997
Fundamental solution of the linearized system for the exterior stationary problem of compressible viscous flow. Zbl 0637.76064
Matsumura, Akitaka
1
1986
Asymptotic behavior of solutions to the Cauchy problem for 1D \(p\)-system with space-dependent damping. Zbl 1532.35068
Matsumura, Akitaka; Nishihara, Kenji
1
2024
Initial boundary value problems for the equations of motion of compressible viscous fluids. Zbl 0511.76063
Matsumura, Akitaka; Nishida, Takaaki
1
1983
Asymptotic behavior of solutions to the Cauchy problem for 1D \(p\)-system with space-dependent damping. Zbl 1532.35068
Matsumura, Akitaka; Nishihara, Kenji
1
2024
Existence of radially symmetric stationary solutions for the compressible Navier-Stokes equation. Zbl 1515.35183
Hashimoto, Itsuko; Matsumura, Akitaka
2
2021
Global asymptotics toward the rarefaction waves for solutions to the Cauchy problem of the scalar conservation law with nonlinear viscosity. Zbl 1446.35062
Matsumura, Akitaka; Yoshida, Natsumi
5
2020
Asymptotic behavior toward nonlinear waves for radially symmetric solutions of the multi-dimensional Burgers equation. Zbl 1437.35073
Hashimoto, Itsuko; Matsumura, Akitaka
2
2019
Asymptotic stability of a composite wave of two viscous shock waves for a one-dimensional system of non-viscous and heat-conductive ideal gas. Zbl 1309.35047
Fan, Lili; Matsumura, Akitaka
16
2015
Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions. Zbl 1330.35256
Katayama, Soichiro; Matsumura, Akitaka; Sunagawa, Hideaki
15
2015
A characterization on breakdown of smooth spherically symmetric solutions of the isentropic system of compressible Navier-Stokes equations. Zbl 1317.35175
Huang, Xiangdi; Matsumura, Akitaka
3
2015
Asymptotic behavior of solutions to the Cauchy problem for the scalar viscous conservation law with partially linearly degenerate flux. Zbl 1255.35048
Matsumura, Akitaka; Yoshida, Natsumi
12
2012
On the Navier-Stokes equations for three-dimensional compressible barotropic flow subject to large external potential forces with discontinuous initial data. Zbl 1215.35120
Li, Jing; Matsumura, Akitaka
12
2011
Optimal decay rate of the compressible Navier-Stokes-Poisson system in \(\mathbb R^3\). Zbl 1205.35201
Li, Hailiang; Matsumura, Akitaka; Zhang, Guojing
133
2010
Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier-Stokes system. Zbl 1273.76259
Huang, Feimin; Li, Jing; Matsumura, Akitaka
104
2010
Asymptotic stability of viscous shock wave for a one-dimensional isentropic model of viscous gas with density dependent viscosity. Zbl 1242.76059
Matsumura, Akitaka; Wang, Yang
15
2010
Well-posedness and stability of quantum hydrodynamics for semiconductors in \(\mathbb{R}^3\). Zbl 1218.35173
Huang, Feimin; Li, Hailiang; Matsumura, Akitaka; Odanaka, Shinji
6
2010
Stability of a composite wave of two viscous shock waves for the full compressible Navier-Stokes equation. Zbl 1172.35054
Huang, Feimin; Matsumura, Akitaka
61
2009
Behaviour of the Fokker-Planck-Boltzmann equation near a Maxwellian. Zbl 1140.76037
Li, Hailiang; Matsumura, Akitaka
17
2008
Large-time behavior of solutions to an initial-boundary value problem on the half line for scalar viscous conservation law. Zbl 1149.35057
Hashimoto, Itsuko; Matsumura, Akitaka
14
2007
Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations. Zbl 1079.76032
Huang, Feimin; Matsumura, Akitaka; Xin, Zhouping
100
2006
Existence and stability of steady-state of one-dimensional quantum hydrodynamic system for semiconductors. Zbl 1160.76444
Huang, Feimin; Li, Hai-Liang; Matsumura, Akitaka
32
2006
The relaxation-time limit in the quantum hydrodynamic equations for semiconductors. Zbl 1147.82364
Jüngel, Ansgar; Li, Hai-Liang; Matsumura, Akitaka
29
2006
Sharp lower bound for the lifespan of systems of semilinear wave equations with multiple speeds. Zbl 1174.35450
Katayama, Soichiro; Matsumura, Akitaka
1
2005
On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary. Zbl 1062.35066
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding
41
2004
Viscous shock wave to a gas-solid free boundary problem for compressible gas. Zbl 1083.35113
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding
1
2004
Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas. Zbl 1048.35083
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding
49
2003
A gas-solid free boundary problem for a compressible viscous gas. Zbl 1035.35070
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding
14
2003
Large-time behaviors of solutions to an inflow problem in the half-space for a one-dimensional system of compressible viscous gas. Zbl 1018.76038
Matsumura, Akitaka; Nishihara, Kenji
80
2001
Inflow and outflow problems in the half-space for a one-dimensional isentropic model system of compressible viscous gas. Zbl 1161.76555
Matsumura, Akitaka
61
2001
Global weak solutions of the Navier-Stokes equations for multidimensional compressible flow subject to large external potential forces. Zbl 0980.35128
Matsumura, Akitaka; Yamagata, Naruhiko
18
2001
Inflow and outflow problems in the half-space for a one-dimensional isentropic model system of compressible viscous gas. Zbl 1042.76550
Matsumura, Akitaka
6
2001
Global asymptotics toward the rarefaction wave for solutions of viscous \(p\)-system with boundary effect. Zbl 1157.35318
Matsumura, Akitaka; Nishihara, Kenji
52
2000
Convergence to travelling fronts of solutions of the \(p\)-system with viscosity in the presence of a boundary. Zbl 0957.76072
Matsumura, Akitaka; Mei, Ming
78
1999
Behaviors of solutions for the Burgers equation with boundary corresponding to rarefaction waves. Zbl 0916.35103
Liu, Tai-Ping; Matsumura, Akitaka; Nishihara, Kenji
66
1998
Asymptotics toward one-dimensional rarefaction wave for the solution of two-dimensional compressible Euler equation with an artificial viscosity. Zbl 0895.35080
Hokari, Hisaaki; Matsumura, Akitaka
12
1997
Nonlinear stability of viscous shock profile for a non-convex system of viscoelasticity. Zbl 0945.74539
Matsumura, Akitaka; Mei, Ming
11
1997
A period-doubling bifurcation for the Duffing equation. Zbl 0891.34046
Komatsu, Yukie; Kotani, Shinichi; Matsumura, Akitaka
1
1997
Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas. Zbl 0849.35109
Matsumura, Akitaka; Yanagi, Shigenori
21
1996
Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas. Zbl 0939.35153
Matsumura, Akitaka; Yanagi, Shigenori
1
1995
Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity. Zbl 0811.35080
Matsumura, Akitaka; Nishihara, Kenji
85
1994
Stability of shock profiles in viscoelasticity with non-convex constitutive relations. Zbl 0820.73030
Kawashima, Shuichi; Matsumura, Akitaka
35
1994
Asymptotics toward the rarefaction wave of the solutions of Burgers’ equation with nonlinear degenerate viscosity. Zbl 0811.35127
Matsumura, Akitaka; Nishihara, Kenji
22
1994
Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas. Zbl 0745.76069
Matsumura, Akitaka; Nishihara, Kenji
124
1992
Large-time behavior of the spherically symmetric solutions of an isothermal model of compressible viscous gas. Zbl 0793.76070
Matsumura, Akitaka
8
1992
The fixed boundary value problems for the equations of ideal magneto- hydrodynamics with a perfectly conducting wall condition. Zbl 0726.76111
Yanagisawa, Taku; Matsumura, Akitaka
33
1991
Periodic solutions of a viscous gas equation. Zbl 0697.35015
Matsumura, Akitaka; Nishida, Takaaki
16
1989
Exterior stationary problems for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0679.76076
Matsumura, Akitaka; Nishida, Takaaki
13
1989
Asymptotics toward rarefaction wave of solutions of the Broadwell model of a discrete velocity gas. Zbl 0663.76079
Matsumura, Akitaka
17
1987
Asymptotics toward the rarefaction waves of the solutions of a one- dimensional model system for compressible viscous gas. Zbl 0612.76086
Matsumura, Akitaka; Nishihara, Kenji
184
1986
Asymptotic behavior of solutions for the equations of a viscous heat- conductive gas. Zbl 0624.76097
Kawashima, Shuichi; Matsumura, Akitaka; Nishihara, Kenji
65
1986
Fundamental solution of the linearized system for the exterior stationary problem of compressible viscous flow. Zbl 0637.76064
Matsumura, Akitaka
1
1986
Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion. Zbl 0624.76095
Kawashima, Shuichi; Matsumura, Akitaka
197
1985
On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas. Zbl 0602.76080
Matsumura, Akitaka; Nishihara, Kenji
144
1985
Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0543.76099
Matsumura, Akitaka; Nishida, Takaaki
393
1983
Initial boundary value problems for the equations of compressible viscous and heat-conductive fluid. Zbl 0534.35058
Matsumura, Akitaka; Nishida, Takaaki
2
1983
Initial boundary value problems for the equations of motion of compressible viscous fluids. Zbl 0511.76063
Matsumura, Akitaka; Nishida, Takaaki
1
1983
Initial boundary value problems for the equations of motion of general fluids. Zbl 0505.76083
Matsumura, Akitaka; Nishida, Takaaki
51
1982
The initial value problem for the equations of motion of viscous and heat-conductive gases. Zbl 0429.76040
Matsumura, Akitaka; Nishida, Takaaki
706
1980
The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0447.76053
Matsumura, Akitaka; Nishida, Takaaki
310
1979
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
59
1979
Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation. Zbl 0371.35030
Matsumura, Akitaka
92
1977
Energy decay of solutions of dissipative wave equations. Zbl 0387.35041
Matsumura, Akitaka
32
1977
On the asymptotic behavior of solutions of semi-linear wave equations. Zbl 0356.35008
Matsumura, Akitaka
239
1976
all cited Publications top 5 cited Publications
all top 5

Cited by 1,347 Authors

53 Zhu, Changjiang
46 Zhao, Huijiang
45 Tan, Zhong
42 Xin, Zhouping
40 Li, Yeping
39 Yang, Tong
32 Zhang, Yinghui
30 Wang, Weike
29 Huang, Feimin
29 Li, Hailiang
27 Mei, Ming
26 Matsumura, Akitaka
24 Feireisl, Eduard
24 Nishihara, Kenji
24 Wang, Yi
24 Wu, Guochun
24 Yin, Haiyan
23 Ikehata, Ryo
22 D’Abbicco, Marcello
22 Kawashima, Shuichi
22 Zumbrun, Kevin R.
21 Kagei, Yoshiyuki
20 Guo, Zhenhua
19 Duan, Renjun
19 Fan, Lili
19 Yao, Zhengan
18 Chen, Zhengzheng
18 Guo, Boling
18 Wakasugi, Yuta
18 Yao, Lei
17 Danchin, Raphaël
17 Huang, Xiangdi
17 Li, Jing
17 Wang, Wenjun
17 Wu, Zhigang
16 Xu, Jiang
16 Zhang, Jianwen
15 Shibata, Yoshihiro
15 Wang, Shu
15 Zhang, Kaijun
14 Hong, Hakho
14 Said-Houari, Belkacem
14 Vasseur, Alexis F.
14 Wang, Teng
13 Jiang, Song
13 Qin, Yuming
13 Ruan, Lizhi
13 Tong, Leilei
12 Jiu, Quansen
12 Liu, Tai-Ping
12 Milani, Albert J.
12 Nečasová, Šárka
12 Novotný, Antonín
12 Yu, Hongjun
11 Cui, Haibo
11 Nakamura, Tohru
11 Nishibata, Shinya
11 Pu, Xueke
11 Shi, Xiaoding
11 Wang, Dehua
11 Wang, Yong
11 Wen, Huanyao
11 Xu, Fuyi
11 Yang, Xiongfeng
11 Yoshida, Natsumi
11 Zhai, Xiaoping
11 Zhang, Ting
11 Zhu, Peicheng
10 Hou, Xiaofeng
10 Li, Jinkai
10 Li, Zilai
10 Liu, Shuangqian
10 Ou, Yaobin
10 Racke, Reinhard
10 Reissig, Michael
10 Wang, Yanjin
10 Zhao, Junning
9 Feng, Yuehong
9 Hayashi, Nakao
9 Ju, Qiangchang
9 Kang, Moon-Jin
9 Mucha, Piotr Bogusław
9 Ogawa, Takayoshi
9 Secchi, Paolo
9 Sobajima, Motohiro
9 Takeda, Hiroshi
9 Trakhinin, Yuri L.
9 Ukai, Seiji
9 Wang, Chao
9 Wu, Qiwei
9 Zhang, Peixin
8 Charão, Ruy Coimbra
8 Chen, Gui-Qiang G.
8 Dou, Changsheng
8 Duan, Qin
8 Ebert, Marcelo Rempel
8 Fang, Daoyuan
8 Geng, Shifeng
8 Gong, Guiqiong
8 He, Lin
...and 1,247 more Authors
all top 5

Cited in 194 Serials

267 Journal of Differential Equations
130 Journal of Mathematical Analysis and Applications
82 Archive for Rational Mechanics and Analysis
80 Mathematical Methods in the Applied Sciences
71 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
66 Nonlinear Analysis. Real World Applications
62 Journal of Mathematical Physics
61 SIAM Journal on Mathematical Analysis
59 Journal of Mathematical Fluid Mechanics
54 ZAMP. Zeitschrift für angewandte Mathematik und Physik
48 Communications in Mathematical Physics
40 Discrete and Continuous Dynamical Systems
37 Acta Mathematica Scientia. Series B. (English Edition)
35 Applicable Analysis
33 Communications on Pure and Applied Analysis
29 Nonlinearity
29 Journal de Mathématiques Pures et Appliquées. Neuvième Série
29 Science China. Mathematics
28 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
27 Discrete and Continuous Dynamical Systems. Series B
27 Journal of Hyperbolic Differential Equations
26 Acta Mathematicae Applicatae Sinica. English Series
26 Communications in Partial Differential Equations
18 Journal of Evolution Equations
17 NoDEA. Nonlinear Differential Equations and Applications
16 Physica D
15 Transactions of the American Mathematical Society
15 Kinetic and Related Models
15 Nonlinear Analysis. Theory, Methods & Applications
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Applied Mathematics Letters
13 Chinese Annals of Mathematics. Series B
12 Acta Applicandae Mathematicae
12 Asymptotic Analysis
12 Analysis and Applications (Singapore)
11 Journal of Statistical Physics
11 Quarterly of Applied Mathematics
11 Boundary Value Problems
10 Advances in Mathematics
10 Mathematische Annalen
10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
9 Japan Journal of Industrial and Applied Mathematics
9 Calculus of Variations and Partial Differential Equations
8 Communications on Pure and Applied Mathematics
8 Indiana University Mathematics Journal
8 Osaka Journal of Mathematics
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
7 Computers & Mathematics with Applications
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Proceedings of the Japan Academy. Series A
7 Electronic Journal of Differential Equations (EJDE)
7 Acta Mathematica Sinica. English Series
6 Transport Theory and Statistical Physics
6 Journal of the Mathematical Society of Japan
6 Mathematische Zeitschrift
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Siberian Mathematical Journal
6 Abstract and Applied Analysis
6 Communications in Contemporary Mathematics
6 Advances in Nonlinear Analysis
6 Communications in Mathematical Analysis and Applications
5 Applied Mathematics and Computation
5 Journal of Functional Analysis
5 Japan Journal of Applied Mathematics
5 Bulletin des Sciences Mathématiques
5 Advances in Mathematical Physics
4 Journal of the London Mathematical Society. Second Series
4 Monatshefte für Mathematik
4 Rendiconti del Seminario Matematico della Università di Padova
4 Zeitschrift für Analysis und ihre Anwendungen
4 Applications of Mathematics
4 Journal of Dynamics and Differential Equations
4 Journal of Nonlinear Science
4 Journal of Inequalities and Applications
4 Differential Equations
4 Frontiers of Mathematics in China
3 Rocky Mountain Journal of Mathematics
3 Aplikace Matematiky
3 Czechoslovak Mathematical Journal
3 Mathematische Nachrichten
3 Nagoya Mathematical Journal
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Advances in Difference Equations
3 Evolution Equations and Control Theory
3 Journal of Function Spaces
3 Annals of PDE
3 AIMS Mathematics
2 Physica A
2 Ukrainian Mathematical Journal
2 Chaos, Solitons and Fractals
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Applied Mathematics and Optimization
2 Archiv der Mathematik
2 Hokkaido Mathematical Journal
2 Inventiones Mathematicae
2 Studies in Applied Mathematics
2 Applied Mathematics and Mechanics. (English Edition)
2 Applied Numerical Mathematics
2 Revista Matemática Iberoamericana
...and 94 more Serials
all top 5

Cited in 36 Fields

1,872 Partial differential equations (35-XX)
1,282 Fluid mechanics (76-XX)
126 Statistical mechanics, structure of matter (82-XX)
71 Classical thermodynamics, heat transfer (80-XX)
69 Mechanics of deformable solids (74-XX)
43 Optics, electromagnetic theory (78-XX)
40 Biology and other natural sciences (92-XX)
32 Numerical analysis (65-XX)
27 Operator theory (47-XX)
20 Dynamical systems and ergodic theory (37-XX)
18 Real functions (26-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
16 Systems theory; control (93-XX)
14 Functional analysis (46-XX)
14 Probability theory and stochastic processes (60-XX)
14 Quantum theory (81-XX)
14 Astronomy and astrophysics (85-XX)
13 Ordinary differential equations (34-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Integral equations (45-XX)
9 Approximations and expansions (41-XX)
8 Geophysics (86-XX)
7 Relativity and gravitational theory (83-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Abstract harmonic analysis (43-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Difference and functional equations (39-XX)
2 Computer science (68-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 General topology (54-XX)
1 Mechanics of particles and systems (70-XX)

Citations by Year