The initial value problem for the equations of motion of viscous and heat-conductive gases. Zbl 0429.76040
Matsumura, Akitaka; Nishida, Takaaki |
|
1980
|
Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0543.76099
Matsumura, Akitaka; Nishida, Takaaki |
|
1983
|
The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0447.76053
Matsumura, Akitaka; Nishida, Takaaki |
|
1979
|
On the asymptotic behavior of solutions of semi-linear wave equations. Zbl 0356.35008
Matsumura, Akitaka |
|
1976
|
Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion. Zbl 0624.76095
Kawashima, Shuichi; Matsumura, Akitaka |
|
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 |
|
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 |
|
1985
|
Optimal decay rate of the compressible Navier-Stokes-Poisson system in \(\mathbb R^3\). Zbl 1205.35201
Li, Hailiang; Matsumura, Akitaka; Zhang, Guojing |
|
2010
|
Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas. Zbl 0745.76069
Matsumura, Akitaka; Nishihara, Kenji |
|
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 |
|
2010
|
Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations. Zbl 1079.76032
Huang, Feimin; Matsumura, Akitaka; Xin, Zhouping |
|
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 |
|
1977
|
Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity. Zbl 0811.35080
Matsumura, Akitaka; Nishihara, Kenji |
|
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 |
|
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 |
|
1999
|
Behaviors of solutions for the Burgers equation with boundary corresponding to rarefaction waves. Zbl 0916.35103
Liu, Tai-Ping; Matsumura, Akitaka; Nishihara, Kenji |
|
1998
|
Asymptotic behavior of solutions for the equations of a viscous heat- conductive gas. Zbl 0624.76097
Kawashima, Shuichi; Matsumura, Akitaka; Nishihara, Kenji |
|
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 |
|
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 |
|
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 |
|
1979
|
Global asymptotics toward the rarefaction wave for solutions of viscous \(p\)-system with boundary effect. Zbl 1157.35318
Matsumura, Akitaka; Nishihara, Kenji |
|
2000
|
Initial boundary value problems for the equations of motion of general fluids. Zbl 0505.76083
Matsumura, Akitaka; Nishida, Takaaki |
|
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 |
|
2003
|
On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary. Zbl 1062.35066
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding |
|
2004
|
Stability of shock profiles in viscoelasticity with non-convex constitutive relations. Zbl 0820.73030
Kawashima, Shuichi; Matsumura, Akitaka |
|
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 |
|
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 |
|
2006
|
Energy decay of solutions of dissipative wave equations. Zbl 0387.35041
Matsumura, Akitaka |
|
1977
|
The relaxation-time limit in the quantum hydrodynamic equations for semiconductors. Zbl 1147.82364
Jüngel, Ansgar; Li, Hai-Liang; Matsumura, Akitaka |
|
2006
|
Asymptotics toward the rarefaction wave of the solutions of Burgers’ equation with nonlinear degenerate viscosity. Zbl 0811.35127
Matsumura, Akitaka; Nishihara, Kenji |
|
1994
|
Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas. Zbl 0849.35109
Matsumura, Akitaka; Yanagi, Shigenori |
|
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 |
|
2001
|
Behaviour of the Fokker-Planck-Boltzmann equation near a Maxwellian. Zbl 1140.76037
Li, Hailiang; Matsumura, Akitaka |
|
2008
|
Asymptotics toward rarefaction wave of solutions of the Broadwell model of a discrete velocity gas. Zbl 0663.76079
Matsumura, Akitaka |
|
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 |
|
2015
|
Periodic solutions of a viscous gas equation. Zbl 0697.35015
Matsumura, Akitaka; Nishida, Takaaki |
|
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 |
|
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 |
|
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 |
|
2007
|
A gas-solid free boundary problem for a compressible viscous gas. Zbl 1035.35070
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding |
|
2003
|
Exterior stationary problems for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0679.76076
Matsumura, Akitaka; Nishida, Takaaki |
|
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 |
|
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 |
|
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 |
|
2012
|
Nonlinear stability of viscous shock profile for a non-convex system of viscoelasticity. Zbl 0945.74539
Matsumura, Akitaka; Mei, Ming |
|
1997
|
Large-time behavior of the spherically symmetric solutions of an isothermal model of compressible viscous gas. Zbl 0793.76070
Matsumura, Akitaka |
|
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 |
|
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 |
|
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 |
|
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 |
|
2015
|
Initial boundary value problems for the equations of compressible viscous and heat-conductive fluid. Zbl 0534.35058
Matsumura, Akitaka; Nishida, Takaaki |
|
1983
|
Asymptotic behavior toward nonlinear waves for radially symmetric solutions of the multi-dimensional Burgers equation. Zbl 1437.35073
Hashimoto, Itsuko; Matsumura, Akitaka |
|
2019
|
Existence of radially symmetric stationary solutions for the compressible Navier-Stokes equation. Zbl 1515.35183
Hashimoto, Itsuko; Matsumura, Akitaka |
|
2021
|
Sharp lower bound for the lifespan of systems of semilinear wave equations with multiple speeds. Zbl 1174.35450
Katayama, Soichiro; Matsumura, Akitaka |
|
2005
|
Viscous shock wave to a gas-solid free boundary problem for compressible gas. Zbl 1083.35113
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding |
|
2004
|
Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas. Zbl 0939.35153
Matsumura, Akitaka; Yanagi, Shigenori |
|
1995
|
A period-doubling bifurcation for the Duffing equation. Zbl 0891.34046
Komatsu, Yukie; Kotani, Shinichi; Matsumura, Akitaka |
|
1997
|
Fundamental solution of the linearized system for the exterior stationary problem of compressible viscous flow. Zbl 0637.76064
Matsumura, Akitaka |
|
1986
|
Asymptotic behavior of solutions to the Cauchy problem for 1D \(p\)-system with space-dependent damping. Zbl 1532.35068
Matsumura, Akitaka; Nishihara, Kenji |
|
2024
|
Initial boundary value problems for the equations of motion of compressible viscous fluids. Zbl 0511.76063
Matsumura, Akitaka; Nishida, Takaaki |
|
1983
|
Asymptotic behavior of solutions to the Cauchy problem for 1D \(p\)-system with space-dependent damping. Zbl 1532.35068
Matsumura, Akitaka; Nishihara, Kenji |
|
2024
|
Existence of radially symmetric stationary solutions for the compressible Navier-Stokes equation. Zbl 1515.35183
Hashimoto, Itsuko; Matsumura, Akitaka |
|
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 |
|
2020
|
Asymptotic behavior toward nonlinear waves for radially symmetric solutions of the multi-dimensional Burgers equation. Zbl 1437.35073
Hashimoto, Itsuko; Matsumura, Akitaka |
|
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 |
|
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 |
|
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 |
|
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 |
|
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 |
|
2011
|
Optimal decay rate of the compressible Navier-Stokes-Poisson system in \(\mathbb R^3\). Zbl 1205.35201
Li, Hailiang; Matsumura, Akitaka; Zhang, Guojing |
|
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 |
|
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 |
|
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 |
|
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 |
|
2009
|
Behaviour of the Fokker-Planck-Boltzmann equation near a Maxwellian. Zbl 1140.76037
Li, Hailiang; Matsumura, Akitaka |
|
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 |
|
2007
|
Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations. Zbl 1079.76032
Huang, Feimin; Matsumura, Akitaka; Xin, Zhouping |
|
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 |
|
2006
|
The relaxation-time limit in the quantum hydrodynamic equations for semiconductors. Zbl 1147.82364
Jüngel, Ansgar; Li, Hai-Liang; Matsumura, Akitaka |
|
2006
|
Sharp lower bound for the lifespan of systems of semilinear wave equations with multiple speeds. Zbl 1174.35450
Katayama, Soichiro; Matsumura, Akitaka |
|
2005
|
On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary. Zbl 1062.35066
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding |
|
2004
|
Viscous shock wave to a gas-solid free boundary problem for compressible gas. Zbl 1083.35113
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding |
|
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 |
|
2003
|
A gas-solid free boundary problem for a compressible viscous gas. Zbl 1035.35070
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding |
|
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 |
|
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 |
|
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 |
|
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 |
|
2001
|
Global asymptotics toward the rarefaction wave for solutions of viscous \(p\)-system with boundary effect. Zbl 1157.35318
Matsumura, Akitaka; Nishihara, Kenji |
|
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 |
|
1999
|
Behaviors of solutions for the Burgers equation with boundary corresponding to rarefaction waves. Zbl 0916.35103
Liu, Tai-Ping; Matsumura, Akitaka; Nishihara, Kenji |
|
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 |
|
1997
|
Nonlinear stability of viscous shock profile for a non-convex system of viscoelasticity. Zbl 0945.74539
Matsumura, Akitaka; Mei, Ming |
|
1997
|
A period-doubling bifurcation for the Duffing equation. Zbl 0891.34046
Komatsu, Yukie; Kotani, Shinichi; Matsumura, Akitaka |
|
1997
|
Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas. Zbl 0849.35109
Matsumura, Akitaka; Yanagi, Shigenori |
|
1996
|
Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas. Zbl 0939.35153
Matsumura, Akitaka; Yanagi, Shigenori |
|
1995
|
Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity. Zbl 0811.35080
Matsumura, Akitaka; Nishihara, Kenji |
|
1994
|
Stability of shock profiles in viscoelasticity with non-convex constitutive relations. Zbl 0820.73030
Kawashima, Shuichi; Matsumura, Akitaka |
|
1994
|
Asymptotics toward the rarefaction wave of the solutions of Burgers’ equation with nonlinear degenerate viscosity. Zbl 0811.35127
Matsumura, Akitaka; Nishihara, Kenji |
|
1994
|
Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas. Zbl 0745.76069
Matsumura, Akitaka; Nishihara, Kenji |
|
1992
|
Large-time behavior of the spherically symmetric solutions of an isothermal model of compressible viscous gas. Zbl 0793.76070
Matsumura, Akitaka |
|
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 |
|
1991
|
Periodic solutions of a viscous gas equation. Zbl 0697.35015
Matsumura, Akitaka; Nishida, Takaaki |
|
1989
|
Exterior stationary problems for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0679.76076
Matsumura, Akitaka; Nishida, Takaaki |
|
1989
|
Asymptotics toward rarefaction wave of solutions of the Broadwell model of a discrete velocity gas. Zbl 0663.76079
Matsumura, Akitaka |
|
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 |
|
1986
|
Asymptotic behavior of solutions for the equations of a viscous heat- conductive gas. Zbl 0624.76097
Kawashima, Shuichi; Matsumura, Akitaka; Nishihara, Kenji |
|
1986
|
Fundamental solution of the linearized system for the exterior stationary problem of compressible viscous flow. Zbl 0637.76064
Matsumura, Akitaka |
|
1986
|
Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion. Zbl 0624.76095
Kawashima, Shuichi; Matsumura, Akitaka |
|
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 |
|
1985
|
Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0543.76099
Matsumura, Akitaka; Nishida, Takaaki |
|
1983
|
Initial boundary value problems for the equations of compressible viscous and heat-conductive fluid. Zbl 0534.35058
Matsumura, Akitaka; Nishida, Takaaki |
|
1983
|
Initial boundary value problems for the equations of motion of compressible viscous fluids. Zbl 0511.76063
Matsumura, Akitaka; Nishida, Takaaki |
|
1983
|
Initial boundary value problems for the equations of motion of general fluids. Zbl 0505.76083
Matsumura, Akitaka; Nishida, Takaaki |
|
1982
|
The initial value problem for the equations of motion of viscous and heat-conductive gases. Zbl 0429.76040
Matsumura, Akitaka; Nishida, Takaaki |
|
1980
|
The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0447.76053
Matsumura, Akitaka; Nishida, Takaaki |
|
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 |
|
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 |
|
1977
|
Energy decay of solutions of dissipative wave equations. Zbl 0387.35041
Matsumura, Akitaka |
|
1977
|
On the asymptotic behavior of solutions of semi-linear wave equations. Zbl 0356.35008
Matsumura, Akitaka |
|
1976
|