## Nishida, Takaaki

Compute Distance To:
 Author ID: nishida.takaaki Published as: Nishida, Takaaki; Nishida, T.; Nishida, Takaahr
 Documents Indexed: 80 Publications since 1967, including 1 Book 5 Contributions as Editor · 1 Further Contribution Co-Authors: 32 Co-Authors with 72 Joint Publications 506 Co-Co-Authors
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### Co-Authors

 10 single-authored 16 Teramoto, Yoshiaki 9 Matsumura, Akitaka 9 Yoshihara, Hideaki 8 Kano, Tadayoshi 7 Mimura, Masayasu 6 Kagei, Yoshiyuki 6 Nakao, Mitsuhiro T. 6 Smoller, Joel Alan 6 Watanabe, Yoshitaka 5 Yamamoto, Nobito 3 Hsia, Chun-Hsiung 3 Kawashima, Shuichi 3 Padula, Mariarosaria 3 Teramoto, Yuka 2 Aye, Pyi 2 Beale, J. Thomas 2 Iohara, Takao 2 Kim, Myoungnyoun 2 Win, Htay Aung 2 Yamaguti, Masaya 1 Brézis, Haïm 1 Fujii, Hiroshi 1 Fujita, Hiroshi 1 Hayami, Ken 1 Hirano, Norimichi 1 Ikeda, Tsutomu 1 Imai, Kazuo 1 Inoue, Kiyoshi 1 Kenmochi, Nobuyuki 1 Kim, Myoung-Nyoung 1 Kobayashi, Kazuo 1 Kumagai, Kazunori 1 Masuda, Kyûya 1 Nakamura, Masaaki 1 Ninomiya, Hirokazu 1 Ohgushi, Takayuki 1 Okada, Mari 1 Ôtani, Mitsuharu 1 Soga, Kohei 1 Takahashi, Wataru 1 Uemi, Rentarō 1 Yamada, Naoki Yamada 1 Yamauchi, Atsushi 1 Yotsuya, Shōji
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### Serials

 10 Journal of Mathematical Fluid Mechanics 5 Journal of Mathematics of Kyoto University 5 RIMS Kokyuroku 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Proceedings of the Japan Academy. Series A 3 Proceedings of the Japan Academy 2 Journal of Differential Equations 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Journal of Scientific Computing 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 North-Holland Mathematics Studies 2 RIMS Kôkyûroku Bessatsu 1 Archive for Rational Mechanics and Analysis 1 Nonlinearity 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Optimization 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Differential Geometry 1 Numerische Mathematik 1 Osaka Journal of Mathematics 1 Chinese Annals of Mathematics. Series B 1 Sūgaku 1 The Journal of Artificial Intelligence Research (JAIR) 1 Reliable Computing 1 Taiwanese Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Lecture Notes in Numerical and Applied Analysis 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Journal of Theoretical Biology
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### Fields

 63 Partial differential equations (35-XX) 62 Fluid mechanics (76-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Numerical analysis (65-XX) 6 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

67 Publications have been cited 2,035 times in 1,373 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
Global solution for an initial boundary value problem of a quasilinear hyperbolic system. Zbl 0167.10301
Nishida, Takaaki
1968
A note on a theorem of Nirenberg. Zbl 0368.35007
Nishida, Takaaki
1977
Solutions in the large for some nonlinear hyperbolic conservation laws. Zbl 0267.35058
Nishida, Takaaki; Smoller, Joel A.
1973
Nonlinear hyperbolic equations and related topics in fluid dynamics. Zbl 0392.76065
Nishida, Takaaki
1978
Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation. Zbl 0381.76060
Nishida, Takaaki
1978
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 solutions to the initial value problem for the nonlinear Boltzmann equation. Zbl 0344.35003
Nishida, Takaaki; Imai, Kazuo
1976
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
1981
A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves. Zbl 0622.76021
1986
Mixed problems for nonlinear conservation laws. Zbl 0303.35052
Nishida, Takaahr; Smoller, Joel
1977
Sur les ondes de surface de l’eau avec une justification mathématique des équations des ondes en eau peu profonde. Zbl 0419.76013
1979
On the Broadwell’s model for a simple discrete velocity gas. Zbl 0326.35051
Nishida, Takaaki; Mimura, Masayasu
1974
Global in time behavior of viscous surface waves: horizontally periodic motion. Zbl 1095.35028
Nishida, Takaaki; Teramoto, Yoshiaki; Yoshihara, Hideaki
2004
Equations of fluid dynamics-free surface problems. Zbl 0595.76068
Nishida, Takaaki
1986
Application of the fast multipole method to the 3-D BEM analysis of electron guns. Zbl 0909.65115
Nishida, T.; Hayami, K.
1997
Large-time behavior of viscous surface waves. Zbl 0642.76048
Beale, J. Thomas; Nishida, Takaaki
1985
Initial boundary value problems for the equations of motion of general fluids. Zbl 0505.76083
Matsumura, Akitaka; Nishida, Takaaki
1982
On the Broadwell model of the Boltzmann equation for a simple discrete velocity gas. Zbl 0361.76081
Inoue, Kiyoshi; Nishida, Takaaki
1976
A numerical verification of nontrivial solutions for the heat convection problem. Zbl 1062.35092
Watanabe, Yoshitaka; Yamamoto, Nobito; Nakao, Mitsuhiro T.; Nishida, Takaaki
2004
A class of convergent finite difference schemes for certain nonlinear parabolic systems. Zbl 0535.65063
Nishida, Takaaki; Smoller, Joel
1983
On some global solution for quasilinear hyperbolic equations. Zbl 0183.38601
Yamaguti, M.; Nishida, T.
1968
A numerical verification method of bifurcating solutions for 3-dimensional Rayleigh-Bénard problems. Zbl 1155.76024
Kim, Myoungnyoun; Nakao, Mitsuhiro T.; Watanabe, Yoshitaka; Nishida, Takaaki
2009
Exterior stationary problems for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0679.76076
Matsumura, Akitaka; Nishida, Takaaki
1989
On a certain semilinear parabolic system related to the Lotka-Volterra ecological model. Zbl 0396.92019
Mimura, Masayasu; Nishida, Takaaki
1978
On Chorin’s method for stationary solutions of the Oberbeck-Boussinesq equation. Zbl 1373.35219
Kagei, Yoshiyuki; Nishida, Takaaki
2017
Equations of motion of compressible viscous fluids. Zbl 0632.76081
Nishida, Takaaki
1986
Hopf bifurcation in viscous incompressible flow down an inclined plane. Zbl 1065.35053
Nishida, Takaaki; Teramoto, Yoshiaki; Yosihara, Hideaki
2005
Difference approximation to Aubry-Mather sets of the forced Burgers equation. Zbl 1259.65131
Nishida, Takaaki; Soga, Kohei
2012
Computer assisted proofs of bifurcating solutions for nonlinear heat convection problems. Zbl 1203.80010
Nakao, Mitsuhiro T.; Watanabe, Yoshitaka; Yamamoto, Nobito; Nishida, Takaaki; Kim, Myoung-Nyoung
2010
Some computer assisted proofs for solutions of the heat convection problems. Zbl 1126.35352
Nakao, Mitsuhiro T.; Watanabe, Yoshitaka; Yamamoto, Nobito; Nishida, Takaaki
2003
On the spectrum for the artificial compressible system. Zbl 1378.35218
Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka
2018
Heat convection of compressible viscous fluids. II. Zbl 1290.35205
Nishida, Takaaki; Padula, Mariarosaria; Teramoto, Yoshiaki
2013
Navier-Stokes flow down an inclined plane: Downward periodic motion. Zbl 0815.76027
Nishida, Takaaki; Teramoto, Yoshiaki; Win, Htay Aung
1993
Heat convection of compressible viscous fluids. I. Zbl 1273.35225
Nishida, Takaaki; Padula, Mariarosaria; Teramoto, Yoshiaki
2013
Pattern formation of heat convection problems. Zbl 1001.76033
Nishida, Takaaki; Ikeda, Tsutomu; Yoshihara, Hideaki
2002
Instability of plane Poiseuille flow in viscous compressible gas. Zbl 1320.35260
Kagei, Yoshiyuki; Nishida, Takaaki
2015
Heat convection of compressible fluid. Zbl 0927.35080
Aye, P.; Nishida, T.
1998
Periodic solutions of a viscous gas equation. Zbl 0697.35015
Matsumura, Akitaka; Nishida, Takaaki
1989
Bifurcation problems for equations of fluid dynamics and computer aided proof. Zbl 0847.76021
Nishida, Takaaki; Teramoto, Yoshiaki; Yoshihara, Hideaki
1995
On a linearized system arising in the study of Bénard-Marangoni convection. Zbl 1126.35045
Nishida, Takaaki; Teramoto, Yoshiaki
2007
Global solutions to the Broadwell’s model of Boltzmann equation for a simple discrete velocity gas. Zbl 0351.76081
Nishida, Takaaki; Mimura, Masayasu
1975
Bifurcation theorems for the model system of Bénard-Marangoni convection. Zbl 1184.76661
Nishida, Takaaki; Teramoto, Yoshiaki
2009
Water waves and Friedrichs expansion. Zbl 0564.76037
1984
Benard-Marangoni convection with a deformable surface. Zbl 0968.76536
Iohara, Takao; Nishida, Takaaki; Teramoto, Yoshiaki; Yoshihara, Hideaki
1996
Une justification mathématique pour l’équation de Korteweg-de Vries approchant des ondes longues de surface de l’eau. Zbl 0589.76030
1985
Traveling waves bifurcating from plane Poiseuille flow of the compressible Navier-Stokes equation. Zbl 1419.76539
Kagei, Yoshiyuki; Nishida, Takaaki
2019
Pattern formations in heat convection problems. Zbl 1183.65128
Nishida, Takaaki; Teramoto, Yoshiaki
2009
Sur l’équation de Boussinesq des ondes de surface de l’eau. (On the Boussinesq equation for water surface waves). Zbl 0601.35004
1985
Analysis of fluid body equations (the free surface problem). Zbl 0646.76051
Nishida, Takaaki
1985
On the Neumann-Richtmeyer method for one-dimensional motion of viscous gas. Zbl 0925.76374
1991
Initial boundary value problems for the equations of compressible viscous and heat-conductive fluid. Zbl 0534.35058
Matsumura, Akitaka; Nishida, Takaaki
1983
Recent topics in nonlinear PDE. (Meeting on Nonlinear Partial Differential Equations held at Hiroshima University, February 1983). Zbl 0549.00011
1984
Erratum to: Computer assisted proofs of bifurcating solutions for nonlinear heat convection problems. Zbl 1203.80011
Nakao, Mitsuhiro T.; Watanabe, Yoshitaka; Yamamoto, Nobito; Nishida, Takaaki; Kim, Myoungnyoun
2010
Using qualitative hypotheses to identify inaccurate data. Zbl 0900.68172
Zhao, Q.; Nishida, T.
1995
Remarks on a paper of Sinai and Vul in 1980. Zbl 0857.34045
Yamaguti, Masaya; Yoshihara, Hideaki; Nishida, Takaaki
1993
Sur les ondes de surface de l’eau. Problème de Cauchy non-stationnaire. Zbl 0398.35029
1978
Initial boundary value problems for the equations of motion of compressible viscous fluids. Zbl 0511.76063
Matsumura, Akitaka; Nishida, Takaaki
1983
Solutions in the large for some nonlinear hyperbolic systems of conservation laws. Zbl 0294.35055
Nishida, Takaaki; Smoller, Joel A.
1974
A queueing system with c-random additional service channels. Zbl 0442.60093
Yoneyama, K.; Yuasa, T.; Nishida, T.
1980
The initial value problem of the Boltzmann equation and its fluid dynamical limit at the level of compressible Euler equation. Zbl 0469.35077
Nishida, Takaaki
1978
Decay of solutions of the Stokes system arising in free surface flow on an infinite layer. Zbl 1476.76026
Beale, J. Thomas; Nishida, Takaaki; Teramoto, Yoshiaki
2020
Heat convection of compressible viscous fluids. III. Zbl 1366.35135
Nishida, Takaaki; Padula, Mariarosaria; Teramoto, Yoshiaki
2016
Singular limit in Hopf bifurcation for doubly diffusive convection equations. II: Bifurcation and stability. Zbl 1467.76026
Hsia, Chun-Hsiung; Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka
2021
Singular limit in Hopf bifurcation for doubly diffusive convection equations. I: Linearized analysis at criticality. Zbl 1467.76027
Hsia, Chun-Hsiung; Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka
2021
Singular limit in Hopf bifurcation for doubly diffusive convection equations. II: Bifurcation and stability. Zbl 1467.76026
Hsia, Chun-Hsiung; Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka
2021
Singular limit in Hopf bifurcation for doubly diffusive convection equations. I: Linearized analysis at criticality. Zbl 1467.76027
Hsia, Chun-Hsiung; Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka
2021
Decay of solutions of the Stokes system arising in free surface flow on an infinite layer. Zbl 1476.76026
Beale, J. Thomas; Nishida, Takaaki; Teramoto, Yoshiaki
2020
Traveling waves bifurcating from plane Poiseuille flow of the compressible Navier-Stokes equation. Zbl 1419.76539
Kagei, Yoshiyuki; Nishida, Takaaki
2019
On the spectrum for the artificial compressible system. Zbl 1378.35218
Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka
2018
On Chorin’s method for stationary solutions of the Oberbeck-Boussinesq equation. Zbl 1373.35219
Kagei, Yoshiyuki; Nishida, Takaaki
2017
Heat convection of compressible viscous fluids. III. Zbl 1366.35135
Nishida, Takaaki; Padula, Mariarosaria; Teramoto, Yoshiaki
2016
Instability of plane Poiseuille flow in viscous compressible gas. Zbl 1320.35260
Kagei, Yoshiyuki; Nishida, Takaaki
2015
Heat convection of compressible viscous fluids. II. Zbl 1290.35205
Nishida, Takaaki; Padula, Mariarosaria; Teramoto, Yoshiaki
2013
Heat convection of compressible viscous fluids. I. Zbl 1273.35225
Nishida, Takaaki; Padula, Mariarosaria; Teramoto, Yoshiaki
2013
Difference approximation to Aubry-Mather sets of the forced Burgers equation. Zbl 1259.65131
Nishida, Takaaki; Soga, Kohei
2012
Computer assisted proofs of bifurcating solutions for nonlinear heat convection problems. Zbl 1203.80010
Nakao, Mitsuhiro T.; Watanabe, Yoshitaka; Yamamoto, Nobito; Nishida, Takaaki; Kim, Myoung-Nyoung
2010
Erratum to: Computer assisted proofs of bifurcating solutions for nonlinear heat convection problems. Zbl 1203.80011
Nakao, Mitsuhiro T.; Watanabe, Yoshitaka; Yamamoto, Nobito; Nishida, Takaaki; Kim, Myoungnyoun
2010
A numerical verification method of bifurcating solutions for 3-dimensional Rayleigh-Bénard problems. Zbl 1155.76024
Kim, Myoungnyoun; Nakao, Mitsuhiro T.; Watanabe, Yoshitaka; Nishida, Takaaki
2009
Bifurcation theorems for the model system of Bénard-Marangoni convection. Zbl 1184.76661
Nishida, Takaaki; Teramoto, Yoshiaki
2009
Pattern formations in heat convection problems. Zbl 1183.65128
Nishida, Takaaki; Teramoto, Yoshiaki
2009
On a linearized system arising in the study of Bénard-Marangoni convection. Zbl 1126.35045
Nishida, Takaaki; Teramoto, Yoshiaki
2007
Hopf bifurcation in viscous incompressible flow down an inclined plane. Zbl 1065.35053
Nishida, Takaaki; Teramoto, Yoshiaki; Yosihara, Hideaki
2005
Global in time behavior of viscous surface waves: horizontally periodic motion. Zbl 1095.35028
Nishida, Takaaki; Teramoto, Yoshiaki; Yoshihara, Hideaki
2004
A numerical verification of nontrivial solutions for the heat convection problem. Zbl 1062.35092
Watanabe, Yoshitaka; Yamamoto, Nobito; Nakao, Mitsuhiro T.; Nishida, Takaaki
2004
Some computer assisted proofs for solutions of the heat convection problems. Zbl 1126.35352
Nakao, Mitsuhiro T.; Watanabe, Yoshitaka; Yamamoto, Nobito; Nishida, Takaaki
2003
Pattern formation of heat convection problems. Zbl 1001.76033
Nishida, Takaaki; Ikeda, Tsutomu; Yoshihara, Hideaki
2002
Heat convection of compressible fluid. Zbl 0927.35080
Aye, P.; Nishida, T.
1998
Application of the fast multipole method to the 3-D BEM analysis of electron guns. Zbl 0909.65115
Nishida, T.; Hayami, K.
1997
Benard-Marangoni convection with a deformable surface. Zbl 0968.76536
Iohara, Takao; Nishida, Takaaki; Teramoto, Yoshiaki; Yoshihara, Hideaki
1996
Bifurcation problems for equations of fluid dynamics and computer aided proof. Zbl 0847.76021
Nishida, Takaaki; Teramoto, Yoshiaki; Yoshihara, Hideaki
1995
Using qualitative hypotheses to identify inaccurate data. Zbl 0900.68172
Zhao, Q.; Nishida, T.
1995
Navier-Stokes flow down an inclined plane: Downward periodic motion. Zbl 0815.76027
Nishida, Takaaki; Teramoto, Yoshiaki; Win, Htay Aung
1993
Remarks on a paper of Sinai and Vul in 1980. Zbl 0857.34045
Yamaguti, Masaya; Yoshihara, Hideaki; Nishida, Takaaki
1993
On the Neumann-Richtmeyer method for one-dimensional motion of viscous gas. Zbl 0925.76374
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
A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves. Zbl 0622.76021
1986
Equations of fluid dynamics-free surface problems. Zbl 0595.76068
Nishida, Takaaki
1986
Equations of motion of compressible viscous fluids. Zbl 0632.76081
Nishida, Takaaki
1986
Large-time behavior of viscous surface waves. Zbl 0642.76048
Beale, J. Thomas; Nishida, Takaaki
1985
Une justification mathématique pour l’équation de Korteweg-de Vries approchant des ondes longues de surface de l’eau. Zbl 0589.76030
1985
Sur l’équation de Boussinesq des ondes de surface de l’eau. (On the Boussinesq equation for water surface waves). Zbl 0601.35004
1985
Analysis of fluid body equations (the free surface problem). Zbl 0646.76051
Nishida, Takaaki
1985
Water waves and Friedrichs expansion. Zbl 0564.76037
1984
Recent topics in nonlinear PDE. (Meeting on Nonlinear Partial Differential Equations held at Hiroshima University, February 1983). Zbl 0549.00011
1984
Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids. Zbl 0543.76099
Matsumura, Akitaka; Nishida, Takaaki
1983
A class of convergent finite difference schemes for certain nonlinear parabolic systems. Zbl 0535.65063
Nishida, Takaaki; Smoller, Joel
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
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
1981
The initial value problem for the equations of motion of viscous and heat-conductive gases. Zbl 0429.76040
Matsumura, Akitaka; Nishida, Takaaki
1980
A queueing system with c-random additional service channels. Zbl 0442.60093
Yoneyama, K.; Yuasa, T.; Nishida, T.
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
Sur les ondes de surface de l’eau avec une justification mathématique des équations des ondes en eau peu profonde. Zbl 0419.76013
1979
Nonlinear hyperbolic equations and related topics in fluid dynamics. Zbl 0392.76065
Nishida, Takaaki
1978
Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation. Zbl 0381.76060
Nishida, Takaaki
1978
On a certain semilinear parabolic system related to the Lotka-Volterra ecological model. Zbl 0396.92019
Mimura, Masayasu; Nishida, Takaaki
1978
Sur les ondes de surface de l’eau. Problème de Cauchy non-stationnaire. Zbl 0398.35029
1978
The initial value problem of the Boltzmann equation and its fluid dynamical limit at the level of compressible Euler equation. Zbl 0469.35077
Nishida, Takaaki
1978
A note on a theorem of Nirenberg. Zbl 0368.35007
Nishida, Takaaki
1977
Mixed problems for nonlinear conservation laws. Zbl 0303.35052
Nishida, Takaahr; Smoller, Joel
1977
Global solutions to the initial value problem for the nonlinear Boltzmann equation. Zbl 0344.35003
Nishida, Takaaki; Imai, Kazuo
1976
On the Broadwell model of the Boltzmann equation for a simple discrete velocity gas. Zbl 0361.76081
Inoue, Kiyoshi; Nishida, Takaaki
1976
Global solutions to the Broadwell’s model of Boltzmann equation for a simple discrete velocity gas. Zbl 0351.76081
Nishida, Takaaki; Mimura, Masayasu
1975
On the Broadwell’s model for a simple discrete velocity gas. Zbl 0326.35051
Nishida, Takaaki; Mimura, Masayasu
1974
Solutions in the large for some nonlinear hyperbolic systems of conservation laws. Zbl 0294.35055
Nishida, Takaaki; Smoller, Joel A.
1974
Solutions in the large for some nonlinear hyperbolic conservation laws. Zbl 0267.35058
Nishida, Takaaki; Smoller, Joel A.
1973
Global solution for an initial boundary value problem of a quasilinear hyperbolic system. Zbl 0167.10301
Nishida, Takaaki
1968
On some global solution for quasilinear hyperbolic equations. Zbl 0183.38601
Yamaguti, M.; Nishida, T.
1968
all top 5

### Cited by 1,105 Authors

 38 Zhu, Changjiang 36 Tan, Zhong 36 Yang, Tong 26 Xin, Zhouping 25 Zhao, Huijiang 22 Kagei, Yoshiyuki 22 Nishida, Takaaki 18 Guo, Boling 18 Ukai, Seiji 18 Yao, Zhengan 17 Kawashima, Shuichi 17 Wu, Guochun 17 Zhang, Yinghui 15 Xu, Jiang 14 Huang, Feimin 14 Li, Hailiang 14 Li, Jing 14 Qin, Yuming 14 Shibata, Yoshihiro 14 Wang, Yanjin 13 Huang, Xiangdi 13 Matsumura, Akitaka 13 Tice, Ian 13 Wang, Weike 12 Duan, Renjun 12 Li, Yeping 12 Watanabe, Yoshitaka 12 Zhang, Jianwen 11 Feireisl, Eduard 11 Jiang, Song 11 Novotný, Antonín 10 Liu, Tai-Ping 10 Nakao, Mitsuhiro T. 10 Padula, Mariarosaria 10 Wang, Dehua 10 Wang, Wenjun 9 Asakura, Fumioki 9 Danchin, Raphaël 9 Guo, Zhenhua 9 Jiu, Quansen 9 Lu, Yunguang 9 Pu, Xueke 9 Wang, Shu 9 Wen, Huanyao 9 Zhang, Peixin 8 Corli, Andrea 8 Dou, Changsheng 8 Jang, Juhi 8 Jiang, Ning 8 Pan, Ronghua 8 Wang, Yi 8 Wang, Yong 8 Wu, Zhigang 8 Xu, Fuyi 8 Yao, Lei 8 Yin, Zhaoyang 8 Zhao, Junning 7 Amadori, Debora 7 Bloom, Frederick 7 Cordoba, Diego 7 Feng, Yuehong 7 Frid, Hermano 7 Gancedo, Francisco 7 Hou, Xiaofeng 7 Hsiao, Ling 7 Luo, Tao 7 Mucha, Piotr Bogusław 7 Nečasová, Šárka 7 Soga, Kohei 7 Solonnikov, Vsevolod Alekseevich 7 Suen, Anthony 7 Zhang, Kaijun 7 Zhang, Ting 7 Zhang, Zhifei 6 Asano, Kiyoshi 6 Castro, Ángel 6 Cercignani, Carlo 6 Chen, Gui-Qiang G. 6 Chen, Qing 6 Duan, Qin 6 Fang, Daoyuan 6 Fefferman, Charles Louis 6 Gao, Jincheng 6 Jenssen, Helge Kristian 6 Kobayashi, Takayuki 6 Li, Jinkai 6 Li, Yin 6 Masmoudi, Nader 6 Mei, Ming 6 Ou, Yaobin 6 Sun, Yongzhong 6 Tong, Leilei 6 Wei, Ruiying 6 Xi, Xiaoyu 6 Zhai, Xiaoping 5 Bian, Dongfen 5 Caflisch, Russel E. 5 Cho, Yonggeun 5 Cui, Haibo 5 DiPerna, Ronald J. ...and 1,005 more Authors
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### Cited in 201 Serials

 175 Journal of Differential Equations 79 Journal of Mathematical Analysis and Applications 72 Archive for Rational Mechanics and Analysis 57 Communications in Mathematical Physics 53 Journal of Mathematical Fluid Mechanics 39 Journal of Mathematical Physics 38 ZAMP. Zeitschrift für angewandte Mathematik und Physik 37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Nonlinear Analysis. Real World Applications 30 Mathematical Methods in the Applied Sciences 30 SIAM Journal on Mathematical Analysis 27 Discrete and Continuous Dynamical Systems 25 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 24 Communications in Partial Differential Equations 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 20 Japan Journal of Industrial and Applied Mathematics 20 Journal of Hyperbolic Differential Equations 17 Transport Theory and Statistical Physics 15 Applicable Analysis 15 Journal of Statistical Physics 15 Science China. Mathematics 14 Transactions of the American Mathematical Society 13 Applied Mathematics Letters 12 Proceedings of the Japan Academy. Series A 12 Acta Applicandae Mathematicae 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Kinetic and Related Models 10 Nonlinearity 10 Quarterly of Applied Mathematics 10 Acta Mathematicae Applicatae Sinica. English Series 10 Japan Journal of Applied Mathematics 10 Discrete and Continuous Dynamical Systems. Series B 9 Advances in Mathematics 9 Chinese Annals of Mathematics. Series B 9 Analysis and Applications (Singapore) 9 Nonlinear Analysis. Theory, Methods & Applications 8 Communications on Pure and Applied Mathematics 8 Mathematische Zeitschrift 8 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Physica D 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Journal of Mathematical Sciences (New York) 7 Communications on Pure and Applied Analysis 7 Annals of PDE 6 Journal of Mathematical Biology 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Mathematische Annalen 6 Journal of Evolution Equations 5 Computers & Mathematics with Applications 5 Mathematics of Computation 5 Journal of Functional Analysis 5 Siberian Mathematical Journal 5 Zeitschrift für Analysis und ihre Anwendungen 4 Journal of Computational Physics 4 Applied Mathematics and Computation 4 Inventiones Mathematicae 4 Journal of Computational and Applied Mathematics 4 Journal of the Mathematical Society of Japan 4 Journal of Soviet Mathematics 4 Monatshefte für Mathematik 4 Journal of Scientific Computing 4 Bulletin of the American Mathematical Society. New Series 4 Calculus of Variations and Partial Differential Equations 4 Electronic Journal of Differential Equations (EJDE) 4 St. Petersburg Mathematical Journal 4 Boundary Value Problems 4 Discrete and Continuous Dynamical Systems. Series S 4 Advances in Mathematical Physics 4 Evolution Equations and Control Theory 3 Computer Methods in Applied Mechanics and Engineering 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Indiana University Mathematics Journal 3 Numerische Mathematik 3 Osaka Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Advances in Applied Mathematics 3 Applied Numerical Mathematics 3 Journal of Nonlinear Science 3 Acta Mathematica Sinica. English Series 3 Differential Equations 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Journal d’Analyse Mathématique 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Annales de l’Institut Fourier 2 Aplikace Matematiky 2 Applied Mathematics and Optimization 2 Numerical Functional Analysis and Optimization 2 Rendiconti del Seminario Matematico della Università di Padova 2 Revista Matemática Iberoamericana 2 Asymptotic Analysis 2 Sugaku Expositions 2 Proceedings of the National Academy of Sciences of the United States of America 2 Computers and Mathematics with Applications. Part A 2 NoDEA. Nonlinear Differential Equations and Applications 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Annals of Mathematics. Second Series ...and 101 more Serials
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### Cited in 35 Fields

 1,222 Partial differential equations (35-XX) 992 Fluid mechanics (76-XX) 142 Statistical mechanics, structure of matter (82-XX) 68 Numerical analysis (65-XX) 42 Classical thermodynamics, heat transfer (80-XX) 35 Mechanics of deformable solids (74-XX) 31 Operator theory (47-XX) 27 Ordinary differential equations (34-XX) 26 Biology and other natural sciences (92-XX) 21 Dynamical systems and ergodic theory (37-XX) 20 Optics, electromagnetic theory (78-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 17 Integral equations (45-XX) 15 Functional analysis (46-XX) 14 Systems theory; control (93-XX) 12 Probability theory and stochastic processes (60-XX) 9 Functions of a complex variable (30-XX) 9 Relativity and gravitational theory (83-XX) 9 Astronomy and astrophysics (85-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Global analysis, analysis on manifolds (58-XX) 4 Real functions (26-XX) 4 Approximations and expansions (41-XX) 4 Computer science (68-XX) 4 Quantum theory (81-XX) 3 Potential theory (31-XX) 3 Geophysics (86-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX)