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Author ID: ukai.seiji Recent zbMATH articles by "Ukai, Seiji"
Published as: Ukai, Seiji; Ukai, S.
Documents Indexed: 90 Publications since 1967, including 1 Book
5 Contributions as Editor · 1 Further Contribution
Biographic References: 2 Publications
Co-Authors: 29 Co-Authors with 76 Joint Publications
819 Co-Co-Authors
all top 5

Serials

6 RIMS Kokyuroku
5 Journal of Mathematics of Kyoto University
5 Kinetic and Related Models
4 Communications in Mathematical Physics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Archive for Rational Mechanics and Analysis
3 Transport Theory and Statistical Physics
3 Japan Journal of Industrial and Applied Mathematics
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Discrete and Continuous Dynamical Systems
3 Analysis and Applications (Singapore)
3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
3 RIMS Kokyuroku
2 Journal of Mathematical Analysis and Applications
2 Journal of Differential Equations
2 Journal of Functional Analysis
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Japan Journal of Applied Mathematics
2 Science Bulletin of Josai University
1 Communications on Pure and Applied Mathematics
1 Journal of Mathematical Physics
1 Hokkaido Mathematical Journal
1 Journal of the Faculty of Science. Section I A
1 Kodai Mathematical Journal
1 Osaka Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Chinese Annals of Mathematics. Series B
1 Sugaku Expositions
1 Communications in Partial Differential Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Advances in Mathematical Sciences and Applications
1 Journal of Mathematical Sciences. University of Tokyo
1 Communications on Pure and Applied Analysis
1 Journal of Hyperbolic Differential Equations
1 Proceedings of the Japan Academy
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Lecture Notes in Mathematics
1 Frontiers of Mathematics in China
1 Journal of Pseudo-Differential Operators and Applications
1 Kyoto Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

71 Publications have been cited 2,416 times in 1,341 Documents Cited by Year
On the existence of global solutions of mixed problem for non-linear Boltzmann equation. Zbl 0312.35061
Ukai, Seiji
179
1974
Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093
Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang
144
2007
Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force. Zbl 1121.35096
Duan, Renjun; Liu, Hongxia; Ukai, Seiji; Yang, Tong
115
2007
Sur la solution à support compact de l’equation d’Euler compressible. (Solutions with compact support of the compressible Euler equation). Zbl 0637.76065
Makino, Tetu; Ukai, Seiji; Kawashima, Shuichi
103
1986
A solution formula for the Stokes equation in \(R_ +^ n\). Zbl 0638.76040
Ukai, Seiji
98
1987
The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential. Zbl 1232.35110
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
87
2012
The incompressible limit and the initial layer of the compressible Euler equation. Zbl 0618.76074
Ukai, Seiji
87
1986
On classical solutions in the large in time of two-dimensional Vlasov’s equation. Zbl 0405.35002
Ukai, Seiji; Okabe, Takayoshi
85
1978
Regularizing effect and local existence for the non-cutoff Boltzmann equation. Zbl 1257.76099
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
81
2010
The Boltzmann equation in the space \(L^2\cap L^\infty_\beta\): global and time-periodic solutions. Zbl 1096.35012
Ukai, Seiji; Yang, Tong
74
2006
The classical incompressible Navier-Stokes limit of the Boltzmann equation. Zbl 0758.35060
Bardos, Claude; Ukai, Seiji
71
1991
Global existence and full regularity of the Boltzmann equation without angular cutoff. Zbl 1230.35082
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
66
2011
On the Cauchy problem of the Boltzmann equation with a soft potential. Zbl 0538.45011
Ukai, Seiji; Asano, Kiyoshi
55
1982
Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315
Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
55
2009
The Boltzmann equation without angular cutoff in the whole space. II: Global existence for hard potential. Zbl 1220.35110
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
53
2011
The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions. Zbl 1426.76660
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
52
2011
Nonlinear boundary layers of the Boltzmann equation. I: Existence. Zbl 1041.82017
Ukai, Seiji; Yang, Tong; Yu, Shih-Hsien
50
2003
Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications. Zbl 1175.82047
Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang
46
2008
Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1158.35332
Huo, Zhaohui; Morimoto, Yoshinori; Ukai, Seiji; Yang, Tong
45
2008
Convergence rate for the compressible Navier–Stokes equations with external force. Zbl 1184.35251
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
44
2006
The Euler limit and initial layer of the nonlinear Boltzmann equation. Zbl 0525.76062
Ukai, Seiji; Asano, Kiyoshi
39
1983
Local solutions in Gevrey classes to the nonlinear Boltzmann equation without cutoff. Zbl 0597.76072
Ukai, Seiji
38
1984
Les solutions globales de l’équation de Boltzmann dans l’espace tout entier et dans le demi-espace. Zbl 0345.45012
Ukai, Seiji
35
1976
Local solutions of the Kadomtsev-Petviashvili equation. Zbl 0703.35155
Ukai, Seiji
35
1989
Uncertainty principle and kinetic equations. Zbl 1166.35038
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
34
2008
The global weak solutions of compressible Euler equation with spherical symmetry. Zbl 0761.76085
Makino, Tetu; Mizohata, Kiyoshi; Ukai, Seiji
34
1992
Solutions of the Boltzmann equation. Zbl 0633.76078
Ukai, Seiji
32
1986
Local smooth solutions of the relativistic Euler equation. Zbl 0833.35086
Makino, Tetu; Ukai, Seiji
30
1995
Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
30
2013
Global solutions to the Boltzmann equation with external forces. Zbl 1152.76464
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
29
2005
Gevrey smoothing effect of solutions for spatially homogeneous nonlinear Boltzmann equation without angular cutoff. Zbl 1207.35015
Morimoto, Yoshinori; Ukai, Seiji
28
2010
Sur l’existence des solutions locales de l’équation d’Euler-Poisson pour l’évolution d’étoiles gazeuses. (Local existence of solutions for Euler-Poisson’s equation for the evolution of gazeous stars). Zbl 0657.35113
Makino, Tetu; Ukai, Seiji
27
1987
Local smooth solutions of the relativistic Euler equation. II. Zbl 0870.76103
Makino, Tetu; Ukai, Seiji
27
1995
Time periodic solutions of compressible Navier-Stokes equations. Zbl 1188.35136
Ma, Hongfang; Ukai, Seiji; Yang, Tong
27
2010
Steady solutions of the Boltzmann equation for a gas flow past an obstacle. I: Existence. Zbl 0538.76070
Ukai, Seiji; Asano, Kiyoshi
25
1983
Eigenvalues of the neutron transport operator for a homogeneous finite moderator. Zbl 0146.36003
Ukai, S.
25
1967
Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1247.35085
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
23
2012
Nonlinear stability of boundary layers of the Boltzmann equation. I: The case \(\mathcal M^\infty<-1\). Zbl 1083.82028
Ukai, Seiji; Yang, Tong; Yu, Shih-Hsien
21
2004
Stationary solutions of the BGK model equation on a finite interval with large boundary data. Zbl 0791.76076
Ukai, Seiji
19
1992
A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118
LeFloch, Philippe G.; Ukai, Seiji
18
2009
On the Vlasov-Poisson limit of the Vlasov-Maxwell equation. Zbl 0623.35059
Asano, Koyoshi; Ukai, Seiji
18
1986
Global weak solutions of the compressible Euler equation with spherical symmetry. II. Zbl 0812.35101
Makino, Tetu; Mizohata, Kiyoshi; Ukai, Seiji
17
1994
Asymptotic distribution of eigenvalues of the kernel in the Kirkwood- Riseman integral equation. Zbl 0207.11401
Ukai, S.
15
1971
The Boltzmann-Grad limit and Cauchy-Kovalevskaya theorem. Zbl 0981.35004
Ukai, Seiji
14
2001
Bounded solutions of the Boltzmann equation in the whole space. Zbl 1215.35115
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
13
2011
Non-relativistic global limits of weak solutions of the relativistic Euler equation. Zbl 0939.35154
Min, Lu; Ukai, Seiji
13
1998
A combination of energy method and spectral analysis for study of equations of gas motion. Zbl 1180.35103
Duan, Renjun; Ukai, Seiji; Yang, Tong
13
2009
Convergence rate to stationary solutions for Boltzmann equation with external force. Zbl 1151.76571
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
13
2006
The global existence of small amplitude solutions to the nonlinear acoustic wave equation. Zbl 0794.35108
Mizohata, Kiyoshi; Ukai, Seiji
13
1993
On the initial boundary value problem of the linearized Boltzmann equation in an exterior domain. Zbl 0462.76077
Ukai, Seiji; Asano, Kiyoshi
12
1980
Time-periodic solutions of the Boltzmann equation. Zbl 1115.35108
Ukai, Seiji
11
2006
Sur la solution globale du problème mixte de l’équation de Boltzmann non linéaire. Zbl 0335.35027
Ukai, Seiji; Point, Nelly; Ghidouche, Hamid
11
1978
Steady solutions of the Boltzmann equation for a gas flow past an obstacle. II. Stability. Zbl 0627.76089
Ukai, Seiji; Asano, Kiyoshi
10
1986
Kinetic equations: fluid dynamical limits and viscous heating. Zbl 1151.35066
Bardos, Claude; Levermore, C. David; Ukai, Seiji; Yang, Tong
9
2008
Global well-posedness theory for the spatially inhomogeneous Boltzmann equation without angular cutoff. (Existence globale pour l’équation de Boltzmann sans troncature.) Zbl 1200.35296
Alexandre, Radjesvarane; Morimoto, Y.; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
9
2010
Regularity of solutions for the Boltzmann equation without angular cutoff. Zbl 1167.35322
Alexandre, Radjesvarane; Morimoto, Yoshinore; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
7
2009
Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential. Zbl 1251.35062
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
7
2011
Global solutions to the Cauchy problem of the Stokes approximation equations for two-dimensional compressible flows. Zbl 0909.35107
Min, Lu; Kazhikhov, Alexandre V.; Ukai, Seiji
5
1998
Stationary problem of Boltzmann equation. Zbl 1185.35002
Ukai, Seiji; Yang, Tong
5
2008
On compactly supported solutions of the compressible Euler equation. Zbl 0651.35009
Makino, Tetu; Ukai, Seiji; Kawashima, Shuichi
4
1987
Special issue devoted to the proceedings of the 5th international workshop on Mathematical aspects of fluid and plasma dynamics, MAFPD-5. Maui, HI, USA, June 28–July 3, 1998. Zbl 0967.00085
4
2000
On the half-space problem for the discrete velocity model of the Boltzmann equation. Zbl 0917.35108
Ukai, S.
4
1998
Exterior problem of Boltzmann equation with temperature difference. Zbl 1157.82037
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
4
2009
Stationary solutions to the exterior problems for the Boltzmann equation. I: Existence. Zbl 1156.76049
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
4
2009
Uncertainty principle and regularity for Boltzmann type equations. Zbl 1149.35019
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
4
2007
Perturbation of the Navier-Stokes flow in an annular domain with the non-vanishing outflow condition. Zbl 0873.35063
Morimoto, Hiroko; Ukai, Seiji
3
1996
On the exterior problem to a linearized Boltzmann equation with the reverse reflection boundary condition. Zbl 0468.76071
Ukai, Seiji
2
1980
Asymptotic analysis of fluid equations. Zbl 1419.35168
Ukai, Seiji
2
2006
On the existence and stability of stationary solutions of the Boltzmann equation for a gas flow past an obstacle. Zbl 0584.76084
Ukai, S.; Asano, K.
2
1982
Existence of local solutions for the Boltzmann equation without angular cutoff. Zbl 1179.35232
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
1
2009
Solution of monoenergetic neutron transport equation for a finite slab by Laplace transformation. Zbl 0179.14503
Ukai, S.
1
1969
Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
30
2013
The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential. Zbl 1232.35110
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
87
2012
Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1247.35085
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
23
2012
Global existence and full regularity of the Boltzmann equation without angular cutoff. Zbl 1230.35082
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
66
2011
The Boltzmann equation without angular cutoff in the whole space. II: Global existence for hard potential. Zbl 1220.35110
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
53
2011
The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions. Zbl 1426.76660
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
52
2011
Bounded solutions of the Boltzmann equation in the whole space. Zbl 1215.35115
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
13
2011
Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential. Zbl 1251.35062
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
7
2011
Regularizing effect and local existence for the non-cutoff Boltzmann equation. Zbl 1257.76099
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
81
2010
Gevrey smoothing effect of solutions for spatially homogeneous nonlinear Boltzmann equation without angular cutoff. Zbl 1207.35015
Morimoto, Yoshinori; Ukai, Seiji
28
2010
Time periodic solutions of compressible Navier-Stokes equations. Zbl 1188.35136
Ma, Hongfang; Ukai, Seiji; Yang, Tong
27
2010
Global well-posedness theory for the spatially inhomogeneous Boltzmann equation without angular cutoff. (Existence globale pour l’équation de Boltzmann sans troncature.) Zbl 1200.35296
Alexandre, Radjesvarane; Morimoto, Y.; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
9
2010
Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315
Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
55
2009
A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118
LeFloch, Philippe G.; Ukai, Seiji
18
2009
A combination of energy method and spectral analysis for study of equations of gas motion. Zbl 1180.35103
Duan, Renjun; Ukai, Seiji; Yang, Tong
13
2009
Regularity of solutions for the Boltzmann equation without angular cutoff. Zbl 1167.35322
Alexandre, Radjesvarane; Morimoto, Yoshinore; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
7
2009
Exterior problem of Boltzmann equation with temperature difference. Zbl 1157.82037
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
4
2009
Stationary solutions to the exterior problems for the Boltzmann equation. I: Existence. Zbl 1156.76049
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
4
2009
Existence of local solutions for the Boltzmann equation without angular cutoff. Zbl 1179.35232
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
1
2009
Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications. Zbl 1175.82047
Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang
46
2008
Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1158.35332
Huo, Zhaohui; Morimoto, Yoshinori; Ukai, Seiji; Yang, Tong
45
2008
Uncertainty principle and kinetic equations. Zbl 1166.35038
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
34
2008
Kinetic equations: fluid dynamical limits and viscous heating. Zbl 1151.35066
Bardos, Claude; Levermore, C. David; Ukai, Seiji; Yang, Tong
9
2008
Stationary problem of Boltzmann equation. Zbl 1185.35002
Ukai, Seiji; Yang, Tong
5
2008
Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093
Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang
144
2007
Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force. Zbl 1121.35096
Duan, Renjun; Liu, Hongxia; Ukai, Seiji; Yang, Tong
115
2007
Uncertainty principle and regularity for Boltzmann type equations. Zbl 1149.35019
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
4
2007
The Boltzmann equation in the space \(L^2\cap L^\infty_\beta\): global and time-periodic solutions. Zbl 1096.35012
Ukai, Seiji; Yang, Tong
74
2006
Convergence rate for the compressible Navier–Stokes equations with external force. Zbl 1184.35251
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
44
2006
Convergence rate to stationary solutions for Boltzmann equation with external force. Zbl 1151.76571
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
13
2006
Time-periodic solutions of the Boltzmann equation. Zbl 1115.35108
Ukai, Seiji
11
2006
Asymptotic analysis of fluid equations. Zbl 1419.35168
Ukai, Seiji
2
2006
Global solutions to the Boltzmann equation with external forces. Zbl 1152.76464
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
29
2005
Nonlinear stability of boundary layers of the Boltzmann equation. I: The case \(\mathcal M^\infty<-1\). Zbl 1083.82028
Ukai, Seiji; Yang, Tong; Yu, Shih-Hsien
21
2004
Nonlinear boundary layers of the Boltzmann equation. I: Existence. Zbl 1041.82017
Ukai, Seiji; Yang, Tong; Yu, Shih-Hsien
50
2003
The Boltzmann-Grad limit and Cauchy-Kovalevskaya theorem. Zbl 0981.35004
Ukai, Seiji
14
2001
Special issue devoted to the proceedings of the 5th international workshop on Mathematical aspects of fluid and plasma dynamics, MAFPD-5. Maui, HI, USA, June 28–July 3, 1998. Zbl 0967.00085
4
2000
Non-relativistic global limits of weak solutions of the relativistic Euler equation. Zbl 0939.35154
Min, Lu; Ukai, Seiji
13
1998
Global solutions to the Cauchy problem of the Stokes approximation equations for two-dimensional compressible flows. Zbl 0909.35107
Min, Lu; Kazhikhov, Alexandre V.; Ukai, Seiji
5
1998
On the half-space problem for the discrete velocity model of the Boltzmann equation. Zbl 0917.35108
Ukai, S.
4
1998
Perturbation of the Navier-Stokes flow in an annular domain with the non-vanishing outflow condition. Zbl 0873.35063
Morimoto, Hiroko; Ukai, Seiji
3
1996
Local smooth solutions of the relativistic Euler equation. Zbl 0833.35086
Makino, Tetu; Ukai, Seiji
30
1995
Local smooth solutions of the relativistic Euler equation. II. Zbl 0870.76103
Makino, Tetu; Ukai, Seiji
27
1995
Global weak solutions of the compressible Euler equation with spherical symmetry. II. Zbl 0812.35101
Makino, Tetu; Mizohata, Kiyoshi; Ukai, Seiji
17
1994
The global existence of small amplitude solutions to the nonlinear acoustic wave equation. Zbl 0794.35108
Mizohata, Kiyoshi; Ukai, Seiji
13
1993
The global weak solutions of compressible Euler equation with spherical symmetry. Zbl 0761.76085
Makino, Tetu; Mizohata, Kiyoshi; Ukai, Seiji
34
1992
Stationary solutions of the BGK model equation on a finite interval with large boundary data. Zbl 0791.76076
Ukai, Seiji
19
1992
The classical incompressible Navier-Stokes limit of the Boltzmann equation. Zbl 0758.35060
Bardos, Claude; Ukai, Seiji
71
1991
Local solutions of the Kadomtsev-Petviashvili equation. Zbl 0703.35155
Ukai, Seiji
35
1989
A solution formula for the Stokes equation in \(R_ +^ n\). Zbl 0638.76040
Ukai, Seiji
98
1987
Sur l’existence des solutions locales de l’équation d’Euler-Poisson pour l’évolution d’étoiles gazeuses. (Local existence of solutions for Euler-Poisson’s equation for the evolution of gazeous stars). Zbl 0657.35113
Makino, Tetu; Ukai, Seiji
27
1987
On compactly supported solutions of the compressible Euler equation. Zbl 0651.35009
Makino, Tetu; Ukai, Seiji; Kawashima, Shuichi
4
1987
Sur la solution à support compact de l’equation d’Euler compressible. (Solutions with compact support of the compressible Euler equation). Zbl 0637.76065
Makino, Tetu; Ukai, Seiji; Kawashima, Shuichi
103
1986
The incompressible limit and the initial layer of the compressible Euler equation. Zbl 0618.76074
Ukai, Seiji
87
1986
Solutions of the Boltzmann equation. Zbl 0633.76078
Ukai, Seiji
32
1986
On the Vlasov-Poisson limit of the Vlasov-Maxwell equation. Zbl 0623.35059
Asano, Koyoshi; Ukai, Seiji
18
1986
Steady solutions of the Boltzmann equation for a gas flow past an obstacle. II. Stability. Zbl 0627.76089
Ukai, Seiji; Asano, Kiyoshi
10
1986
Local solutions in Gevrey classes to the nonlinear Boltzmann equation without cutoff. Zbl 0597.76072
Ukai, Seiji
38
1984
The Euler limit and initial layer of the nonlinear Boltzmann equation. Zbl 0525.76062
Ukai, Seiji; Asano, Kiyoshi
39
1983
Steady solutions of the Boltzmann equation for a gas flow past an obstacle. I: Existence. Zbl 0538.76070
Ukai, Seiji; Asano, Kiyoshi
25
1983
On the Cauchy problem of the Boltzmann equation with a soft potential. Zbl 0538.45011
Ukai, Seiji; Asano, Kiyoshi
55
1982
On the existence and stability of stationary solutions of the Boltzmann equation for a gas flow past an obstacle. Zbl 0584.76084
Ukai, S.; Asano, K.
2
1982
On the initial boundary value problem of the linearized Boltzmann equation in an exterior domain. Zbl 0462.76077
Ukai, Seiji; Asano, Kiyoshi
12
1980
On the exterior problem to a linearized Boltzmann equation with the reverse reflection boundary condition. Zbl 0468.76071
Ukai, Seiji
2
1980
On classical solutions in the large in time of two-dimensional Vlasov’s equation. Zbl 0405.35002
Ukai, Seiji; Okabe, Takayoshi
85
1978
Sur la solution globale du problème mixte de l’équation de Boltzmann non linéaire. Zbl 0335.35027
Ukai, Seiji; Point, Nelly; Ghidouche, Hamid
11
1978
Les solutions globales de l’équation de Boltzmann dans l’espace tout entier et dans le demi-espace. Zbl 0345.45012
Ukai, Seiji
35
1976
On the existence of global solutions of mixed problem for non-linear Boltzmann equation. Zbl 0312.35061
Ukai, Seiji
179
1974
Asymptotic distribution of eigenvalues of the kernel in the Kirkwood- Riseman integral equation. Zbl 0207.11401
Ukai, S.
15
1971
Solution of monoenergetic neutron transport equation for a finite slab by Laplace transformation. Zbl 0179.14503
Ukai, S.
1
1969
Eigenvalues of the neutron transport operator for a homogeneous finite moderator. Zbl 0146.36003
Ukai, S.
25
1967
all top 5

Cited by 1,091 Authors

69 Yang, Tong
43 Duan, Renjun
32 Tan, Zhong
30 Ukai, Seiji
27 Morimoto, Yoshinori
25 Zhao, Huijiang
20 Xu, Chao-Jiang
20 Yu, Hongjun
20 Zhang, Yinghui
18 Yun, Seok-Bae
17 Zhang, Xianwen
16 Guo, Yan
16 Huang, Feimin
16 Li, Hailiang
16 Liu, Shuangqian
16 Yao, Zhengan
16 Zhu, Shengguo
15 Golse, François
15 Li, Yachun
15 Wang, Weike
15 Wu, Zhigang
14 Wang, Yong
14 Wu, Guochun
13 Alexandre, Radjesvarane
13 Strain, Robert M.
13 Zhu, Changjiang
12 He, Lingbing
12 Jang, Juhi
12 Jiang, Ning
12 Wang, Wenjun
11 Briant, Marc
11 Deng, Dingqun
11 Esposito, Raffaele
11 Zhong, Mingying
10 Chen, Gui-Qiang G.
10 Geng, Yongcai
10 Lei, Yuanjie
10 Li, Weixi
10 Li, Yin
10 Marra, Rossana
10 Mouhot, Clément
9 Guo, Boling
9 Ha, Seung-Yeal
9 Han, Pigong
9 Li, Haoguang
9 Masmoudi, Nader
9 Pulvirenti, Mario
9 Wei, Ruiying
9 Wen, Huanyao
9 Wu, Kung-Chien
9 Xiong, Linjie
9 Yang, Xiongfeng
8 Bernhoff, Niclas
8 Carles, Rémi
8 Iacobelli, Mikaela
8 Kozono, Hideo
8 Li, Fucai
8 Makino, Tetu
8 Pan, Ronghua
8 Saint-Raymond, Laure
8 Xin, Zhouping
8 Zhou, Yulong
7 Arkeryd, Leif O.
7 Asano, Kiyoshi
7 Cai, Hong
7 Carrapatoso, Kleber
7 Desvillettes, Laurent
7 Gallagher, Isabelle
7 Gao, Jincheng
7 Jin, Bumja
7 Kim, Chanwoo
7 Lachowicz, Mirosław
7 Liu, Tai-Ping
7 Nikolić, Vanja
7 Pu, Xueke
7 Silvestre, Luis E.
7 Tong, Leilei
7 Xu, Fuyi
7 Yao, Lei
7 Yu, Shih-Hsien
6 Bostan, Mihai
6 Chang, Tongkeun
6 Chen, Qing
6 Danchin, Raphaël
6 Dong, Jianwei
6 Feireisl, Eduard
6 Han-Kwan, Daniel
6 Henderson, Christopher
6 Ju, Qiangchang
6 Kleptsyna, Marina L.
6 Liu, Lvqiao
6 Miot, Evelyne
6 Mokhtar-Kharroubi, Mustapha
6 Ou, Yaobin
6 Saffirio, Chiara
6 Schochet, Steven H.
6 Xiao, Qinghua
6 Xu, Qiuju
5 Aoki, Kazuo
5 Bardos, Claude Williams
...and 991 more Authors
all top 5

Cited in 196 Serials

138 Journal of Differential Equations
82 Archive for Rational Mechanics and Analysis
62 Communications in Mathematical Physics
62 Journal of Mathematical Analysis and Applications
62 SIAM Journal on Mathematical Analysis
48 Journal of Statistical Physics
37 Kinetic and Related Models
34 Journal of Mathematical Physics
33 ZAMP. Zeitschrift für angewandte Mathematik und Physik
31 Communications in Partial Differential Equations
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23 Transport Theory and Statistical Physics
22 Mathematical Methods in the Applied Sciences
22 Nonlinear Analysis. Real World Applications
21 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
21 Journal de Mathématiques Pures et Appliquées. Neuvième Série
20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
17 Journal of Functional Analysis
17 Discrete and Continuous Dynamical Systems
16 Acta Mathematica Scientia. Series B. (English Edition)
15 Acta Applicandae Mathematicae
14 Journal of Mathematical Fluid Mechanics
14 Journal of Hyperbolic Differential Equations
13 Analysis and Applications (Singapore)
11 Communications on Pure and Applied Mathematics
11 Quarterly of Applied Mathematics
11 Chinese Annals of Mathematics. Series B
11 Japan Journal of Industrial and Applied Mathematics
11 Annals of PDE
10 Nonlinearity
10 Advances in Mathematics
10 Japan Journal of Applied Mathematics
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Science China. Mathematics
8 Applicable Analysis
8 Mathematische Annalen
8 Acta Mathematicae Applicatae Sinica. English Series
8 Journal of Evolution Equations
8 Communications on Pure and Applied Analysis
7 Physica D
7 Séminaire Laurent Schwartz. EDP et Applications
6 Journal of Computational Physics
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Applied Mathematics Letters
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Calculus of Variations and Partial Differential Equations
6 Discrete and Continuous Dynamical Systems. Series B
5 Inventiones Mathematicae
5 Proceedings of the American Mathematical Society
5 Transactions of the American Mathematical Society
5 Asymptotic Analysis
5 Physics of Fluids
5 NoDEA. Nonlinear Differential Equations and Applications
5 Abstract and Applied Analysis
5 Acta Mathematica Sinica. English Series
5 Differential Equations
4 Indiana University Mathematics Journal
4 Mathematische Zeitschrift
4 Journal of Nonlinear Science
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Communications in Contemporary Mathematics
4 Nonlinear Analysis. Theory, Methods & Applications
4 Annales Henri Lebesgue
4 Communications in Mathematical Analysis and Applications
3 Reviews in Mathematical Physics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Journal of Soviet Mathematics
3 SIAM Journal on Numerical Analysis
3 Journal of the American Mathematical Society
3 Mathematical and Computer Modelling
3 International Journal of Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Journal of Mathematical Sciences (New York)
3 Electronic Journal of Differential Equations (EJDE)
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Frontiers of Mathematics in China
3 Advances in Nonlinear Analysis
3 Pure and Applied Analysis
3 Electronic Research Archive
2 Computers and Fluids
2 Computer Methods in Applied Mechanics and Engineering
2 Letters in Mathematical Physics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Applied Mathematics and Computation
2 Applied Mathematics and Optimization
2 Duke Mathematical Journal
2 Journal of Computational and Applied Mathematics
2 Kodai Mathematical Journal
2 Mathematische Nachrichten
2 Memoirs of the American Mathematical Society
2 Rendiconti del Seminario Matematico della Università di Padova
2 SIAM Journal on Control and Optimization
2 Journal of Scientific Computing
2 The Annals of Applied Probability
2 European Journal of Mechanics. B. Fluids
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
...and 96 more Serials

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