Edit Profile (opens in new tab) Ukai, Seiji Co-Author Distance Author ID: 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 Co-Authors 19 single-authored 31 Yang, Tong 18 Morimoto, Yoshinori 15 Xu, Chao-Jiang 14 Alexandre, Radjesvarane 14 Asano, Kiyoshi 10 Makino, Tetu 7 Zhao, Huijiang 5 Mizohata, Kiyoshi 4 Duan, Renjun 3 Ghidouche, Hamid 3 Itaya, Akihiko 3 Min, Lu 3 Morimoto, Hiroko 3 Point, Nelly 3 Yu, Shih-Hsien 2 Bardos, Claude Williams 2 Illner, Reinhard 2 Kawashima, Shuichi 2 Kazhikhov, Alexandre V. 2 Miyakawa, Tetsuro 2 Tani, Atusi 1 Aizawa, Tatsuhiko 1 Bose, Christopher J. 1 Cannone, Marco 1 Finn, Robert Samuel 1 Gallavotti, Giovanni M. 1 Huo, Zhaohui 1 Ikeda, Tsutomu 1 Kanayama, Hiroshi 1 Kazhikov, Aleksandr Vasil’evich 1 Kikuchi, Fumio 1 Kikuchi, Yoshisuke 1 LeFloch, Philippe Gerard 1 Levermore, C. David 1 Liu, Hongxia 1 Ma, Hongfang 1 Meyer, Yves F. 1 Miyoshi, Tetsuhiko 1 Mizumachi, Ryûichi 1 Okabe, Takayoshi 1 Ōmori, Katsushi 1 Slemrod, Marshall 1 Tang, Tong 1 Ushijima, Teruo 1 Utsuno, Hideo 1 Yamaguchi, Masaya 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 all top 5 Fields 75 Fluid mechanics (76-XX) 70 Partial differential equations (35-XX) 29 Statistical mechanics, structure of matter (82-XX) 11 Integral equations (45-XX) 7 General and overarching topics; collections (00-XX) 5 Operator theory (47-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 35 Fields 1,154 Partial differential equations (35-XX) 859 Fluid mechanics (76-XX) 408 Statistical mechanics, structure of matter (82-XX) 55 Integral equations (45-XX) 43 Operator theory (47-XX) 36 Optics, electromagnetic theory (78-XX) 31 Numerical analysis (65-XX) 25 Probability theory and stochastic processes (60-XX) 24 Dynamical systems and ergodic theory (37-XX) 24 Quantum theory (81-XX) 24 Relativity and gravitational theory (83-XX) 23 Astronomy and astrophysics (85-XX) 20 Classical thermodynamics, heat transfer (80-XX) 14 Functional analysis (46-XX) 14 Biology and other natural sciences (92-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Mechanics of deformable solids (74-XX) 11 Real functions (26-XX) 10 Ordinary differential equations (34-XX) 10 Systems theory; control (93-XX) 7 Geophysics (86-XX) 5 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 4 Approximations and expansions (41-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 2 Functions of a complex variable (30-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Statistics (62-XX) Citations by Year