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## Matsumura, Akitaka

Compute Distance To:
 Author ID: matsumura.akitaka Published as: Matsumura, A.; Matsumura, Akitaka
 Documents Indexed: 73 Publications since 1976, including 2 Books
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#### Co-Authors

 12 single-authored 12 Nishihara, Kenji 10 Kawashima, Shuichi 9 Huang, Feimin 9 Nishida, Takaaki 6 Li, Hailiang 4 Shi, Xiaoding 3 Nishibata, Shinya 2 Aiso, Hideaki 2 Asakura, Fumioki 2 Hashimoto, Itsuko 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 Hokari, Hisaaki 1 Huang, Xiangdi 1 Kano, Tadayoshi 1 Kotani, Shinichi 1 Liu, Tai-Ping 1 Odanaka, Shinji 1 Sunagawa, Hideaki 1 Wang, Yang 1 Xin, Zhouping 1 Yamagata, Naruhiko 1 Yanagisawa, Taku 1 Zhang, Guojing
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#### Serials

 10 Communications in Mathematical Physics 7 RIMS Kokyuroku 6 Osaka Journal of Mathematics 5 Archive for Rational Mechanics and Analysis 4 Journal of Differential Equations 4 SIAM Journal on Mathematical Analysis 3 Journal of Mathematics of Kyoto University 3 Proceedings of the Japan Academy. Series A 3 Japan Journal of Applied Mathematics 3 Methods and Applications of Analysis 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
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#### Fields

 62 Partial differential equations (35-XX) 50 Fluid mechanics (76-XX) 7 General and overarching topics; collections (00-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Mechanics of deformable solids (74-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX)

#### Citations contained in zbMATH

56 Publications have been cited 2,655 times in 1,351 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
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
Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas. Zbl 0745.76069
Matsumura, Akitaka; Nishihara, Kenji
1992
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 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
Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations. Zbl 1079.76032
Huang, Feimin; Matsumura, Akitaka; Xin, Zhouping
2006
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
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
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
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
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
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
Stability of shock profiles in viscoelasticity with non-convex constitutive relations. Zbl 0820.73030
Kawashima, Shuichi; Matsumura, Akitaka
1994
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
Initial boundary value problems for the equations of motion of general fluids. Zbl 0505.76083
Matsumura, Akitaka; Nishida, Takaaki
1982
On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary. Zbl 1062.35066
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding
2004
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
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
Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas. Zbl 0849.35109
Matsumura, Akitaka; Yanagi, Shigenori
1996
Asymptotics toward the rarefaction wave of the solutions of Burgers’ equation with nonlinear degenerate viscosity. Zbl 0811.35127
Matsumura, Akitaka; Nishihara, Kenji
1994
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
Asymptotics toward rarefaction wave of solutions of the Broadwell model of a discrete velocity gas. Zbl 0663.76079
Matsumura, Akitaka
1987
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
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
Exterior stationary problems for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0679.76076
Matsumura, Akitaka; Nishida, Takaaki
1989
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
A gas-solid free boundary problem for a compressible viscous gas. Zbl 1035.35070
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding
2003
Nonlinear stability of viscous shock profile for a non-convex system of viscoelasticity. Zbl 0945.74539
Matsumura, Akitaka; Mei, Ming
1997
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
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
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
Large-time behavior of the spherically symmetric solutions of an isothermal model of compressible viscous gas. Zbl 0793.76070
Matsumura, Akitaka
1992
Periodic solutions of a viscous gas equation. Zbl 0697.35015
Matsumura, Akitaka; Nishida, Takaaki
1989
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
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
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
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
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
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
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
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 0939.35153
Matsumura, Akitaka; Yanagi, Shigenori
1995
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 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
The relaxation-time limit in the quantum hydrodynamic equations for semiconductors. Zbl 1147.82364
Jüngel, Ansgar; Li, Hai-Liang; Matsumura, Akitaka
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
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
Nonlinear stability of viscous shock profile for a non-convex system of viscoelasticity. Zbl 0945.74539
Matsumura, Akitaka; Mei, Ming
1997
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
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
Exterior stationary problems for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0679.76076
Matsumura, Akitaka; Nishida, Takaaki
1989
Periodic solutions of a viscous gas equation. Zbl 0697.35015
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
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
all top 5

#### Cited by 992 Authors

 40 Tan, Zhong 38 Zhao, Huijiang 37 Yang, Tong 34 Xin, Zhouping 33 Zhu, Changjiang 26 Wang, Weike 24 Matsumura, Akitaka 23 Li, Hailiang 23 Li, Yeping 23 Nishihara, Kenji 22 Huang, Feimin 22 Ikehata, Ryo 22 Mei, Ming 20 Kawashima, Shuichi 20 Zumbrun, Kevin R. 19 Wang, Yi 18 D’Abbicco, Marcello 18 Kagei, Yoshiyuki 17 Guo, Boling 16 Feireisl, Eduard 16 Yin, Haiyan 15 Duan, Renjun 14 Li, Jing 14 Xu, Jiang 14 Zhang, Yinghui 13 Wu, Guochun 12 Guo, Zhenhua 12 Huang, Xiangdi 12 Jiang, Song 12 Milani, Albert J. 12 Qin, Yuming 12 Said-Houari, Belkacem 12 Vasseur, Alexis F. 12 Zhang, Kaijun 11 Chen, Zhengzheng 11 Liu, Tai-Ping 11 Novotný, Antonín 11 Wakasugi, Yuta 11 Yao, Zhengan 11 Zhang, Jianwen 10 Fan, Lili 10 Nakamura, Tohru 10 Nishibata, Shinya 10 Wang, Wenjun 10 Zhang, Ting 10 Zhao, Junning 9 Hayashi, Nakao 9 Liu, Shuangqian 9 Racke, Reinhard 9 Shibata, Yoshihiro 9 Takeda, Hiroshi 9 Ukai, Seiji 9 Wang, Dehua 9 Wang, Teng 9 Wang, Yanjin 9 Wen, Huanyao 9 Wu, Zhigang 9 Zhang, Peixin 8 Charão, Ruy Coimbra 8 Danchin, Raphaël 8 Fang, Daoyuan 8 Humpherys, Jeffrey 8 Jiu, Quansen 8 Liu, Hongxia 8 Naumkin, Pavel Ivanovich 8 Pu, Xueke 8 Reissig, Michael 8 Ruan, Lizhi 8 Sun, Yongzhong 8 Trakhinin, Yuri L. 8 Wang, Shu 8 Xu, Fuyi 8 Yao, Lei 8 Yoshida, Natsumi 8 Yu, Hongjun 8 Zhang, Guojing 8 Zhu, Peicheng 7 Aliev, Akbar B. 7 Bloom, Frederick 7 Dou, Changsheng 7 Hong, Hakho 7 Pan, Ronghua 7 Secchi, Paolo 7 Shi, Xiaoding 7 Tong, Leilei 7 Wang, Jing 7 Xu, Xin 7 Yang, Xiongfeng 7 Yuan, Hongjun 6 Bian, Dongfen 6 Chen, Gui-Qiang G. 6 Cui, Haibo 6 Duan, Ran 6 Fan, Jishan 6 Feng, Yuehong 6 Geng, Shifeng 6 Hao, Chengchun 6 Hou, Xiaofeng 6 Hu, Xianpeng 6 Kaikina, Elena Igorevna ...and 892 more Authors
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#### Cited in 162 Serials

 211 Journal of Differential Equations 108 Journal of Mathematical Analysis and Applications 70 Archive for Rational Mechanics and Analysis 62 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 47 Nonlinear Analysis. Real World Applications 43 Communications in Mathematical Physics 39 Journal of Mathematical Physics 36 Mathematical Methods in the Applied Sciences 33 ZAMP. Zeitschrift für angewandte Mathematik und Physik 30 SIAM Journal on Mathematical Analysis 29 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 29 Discrete and Continuous Dynamical Systems 28 Journal of Mathematical Fluid Mechanics 24 Applicable Analysis 24 Communications in Partial Differential Equations 24 Journal of Hyperbolic Differential Equations 22 Acta Mathematicae Applicatae Sinica. English Series 22 Journal de Mathématiques Pures et Appliquées. Neuvième Série 19 Communications on Pure and Applied Analysis 19 Science China. Mathematics 16 Kinetic and Related Models 15 Nonlinear Analysis. Theory, Methods & Applications 14 Transactions of the American Mathematical Society 13 NoDEA. Nonlinear Differential Equations and Applications 12 Chinese Annals of Mathematics. Series B 11 Analysis and Applications (Singapore) 10 Journal of Statistical Physics 10 Physica D 9 Quarterly of Applied Mathematics 9 Acta Applicandae Mathematicae 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Applied Mathematics Letters 8 Japan Journal of Industrial and Applied Mathematics 7 Nonlinearity 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Osaka Journal of Mathematics 7 Proceedings of the Japan Academy. Series A 7 Acta Mathematica Sinica. English Series 6 Computers & Mathematics with Applications 6 Transport Theory and Statistical Physics 6 Advances in Mathematics 6 Mathematische Zeitschrift 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Siberian Mathematical Journal 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Discrete and Continuous Dynamical Systems. Series B 5 Applied Mathematics and Computation 5 Japan Journal of Applied Mathematics 5 Communications in Contemporary Mathematics 5 Journal of Evolution Equations 5 Boundary Value Problems 4 Journal of Functional Analysis 4 Journal of the Mathematical Society of Japan 4 Mathematische Annalen 4 Rendiconti del Seminario Matematico della Università di Padova 4 Zeitschrift für Analysis und ihre Anwendungen 4 Electronic Journal of Differential Equations (EJDE) 4 Abstract and Applied Analysis 4 Differential Equations 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Frontiers of Mathematics in China 3 Communications on Pure and Applied Mathematics 3 Aplikace Matematiky 3 Czechoslovak Mathematical Journal 3 Monatshefte für Mathematik 3 Nagoya Mathematical Journal 3 Asymptotic Analysis 3 Applications of Mathematics 3 Journal of Dynamics and Differential Equations 3 Bulletin des Sciences Mathématiques 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Archiv der Mathematik 2 Inventiones Mathematicae 2 Applied Mathematics and Mechanics. (English Edition) 2 Revista Matemática Iberoamericana 2 Numerical Methods for Partial Differential Equations 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied Mathematics. Series B (English Edition) 2 Calculus of Variations and Partial Differential Equations 2 St. Petersburg Mathematical Journal 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Inequalities and Applications 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Networks and Heterogeneous Media 2 Advances in Mathematical Physics 2 International Journal of Differential Equations 1 Computer Methods in Applied Mechanics and Engineering 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Mathematical Biosciences 1 Physica A 1 Wave Motion 1 Theoretical and Computational Fluid Dynamics 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 The Annals of Probability ...and 62 more Serials
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#### Cited in 35 Fields

 1,270 Partial differential equations (35-XX) 812 Fluid mechanics (76-XX) 91 Statistical mechanics, structure of matter (82-XX) 53 Mechanics of deformable solids (74-XX) 31 Classical thermodynamics, heat transfer (80-XX) 21 Optics, electromagnetic theory (78-XX) 21 Biology and other natural sciences (92-XX) 19 Numerical analysis (65-XX) 18 Operator theory (47-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Systems theory; control (93-XX) 13 Ordinary differential equations (34-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 9 Real functions (26-XX) 9 Functional analysis (46-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Probability theory and stochastic processes (60-XX) 8 Integral equations (45-XX) 7 Astronomy and astrophysics (85-XX) 5 Quantum theory (81-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Relativity and gravitational theory (83-XX) 3 Approximations and expansions (41-XX) 3 Abstract harmonic analysis (43-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX)