## Makino, Tetu

Compute Distance To:
 Author ID: makino.tetu Published as: Makino, Tetu
 Documents Indexed: 47 Publications since 1983 Co-Authors: 10 Co-Authors with 26 Joint Publications 465 Co-Co-Authors
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### Co-Authors

 21 single-authored 10 Ukai, Seiji 6 Hsu, Cheng-Hsiung 5 Okada, Mari 4 Lin, Song-Sun 4 Mizohata, Kiyoshi 4 Nečasová, Šárka 3 Jang, Juhi 2 Kawashima, Shuichi 1 Perthame, Benoît 1 Takeno, Shigeharu
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### Serials

 7 Japan Journal of Industrial and Applied Mathematics 5 Journal of Mathematics of Kyoto University 5 RIMS Kokyuroku 4 Journal of Mathematical Physics 4 Funkcialaj Ekvacioj. Serio Internacia 4 Journal of Differential Equations 3 Japan Journal of Applied Mathematics 1 Archive for Rational Mechanics and Analysis 1 Classical and Quantum Gravity 1 Transport Theory and Statistical Physics 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Kodai Mathematical Journal 1 Osaka Journal of Mathematics 1 Methods and Applications of Analysis 1 Neural Computing and Applications 1 Kyoto Journal of Mathematics
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### Fields

 37 Partial differential equations (35-XX) 35 Fluid mechanics (76-XX) 14 Astronomy and astrophysics (85-XX) 7 Relativity and gravitational theory (83-XX) 3 Geophysics (86-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 1 Real functions (26-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

37 Publications have been cited 616 times in 375 Documents Cited by Year
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
1986
Free boundary problem for the equation of one-dimensional motion of compressible gas with density-dependent viscosity. Zbl 1027.76042
Okada, Mari; Matsušů-Nečasová, Šárka; Makino, Tetu
2002
Blowing up solutions of the Euler-Poisson equation for the evolution of gaseous stars. Zbl 0793.76069
Makino, Tetu
1992
Free boundary problem for the equation of spherically symmetric motion of viscous gas. Zbl 0783.76082
1993
On spherical symmetry solutions of the Euler-Poisson equation for the evolution of gaseous stars. (Sur les solutions à symmétrie sphérique de l’équation d’Euler-Poisson pour l’évolution d’étoiles gazeuses.) Zbl 0743.35048
Makino, Tetu; Perthame, Benoît
1990
The global weak solutions of compressible Euler equation with spherical symmetry. Zbl 0761.76085
Makino, Tetu; Mizohata, Kiyoshi; Ukai, Seiji
1992
Initial boundary value problem for the spherically symmetric motion of isentropic gas. Zbl 0797.76077
Makino, Tetu; Takeno, Shigeharu
1994
Local smooth solutions of the relativistic Euler equation. Zbl 0833.35086
Makino, Tetu; Ukai, Seiji
1995
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
1987
Local smooth solutions of the relativistic Euler equation. II. Zbl 0870.76103
Makino, Tetu; Ukai, Seiji
1995
On a local existence theorem for the evolution equation of gaseous stars. Zbl 0623.35058
Makino, Tetu
1986
On spherically symmetric stellar models in general relativity. Zbl 0919.53032
Makino, Tetu
1998
Free boundary problem for the equation of spherically symmetric motion of viscous gas. III. Zbl 1306.76038
Matušu-Nečasová, Šárka; Okada, Mari; Makino, Tetu
1997
Global weak solutions of the compressible Euler equation with spherical symmetry. II. Zbl 0812.35101
Makino, Tetu; Mizohata, Kiyoshi; Ukai, Seiji
1994
On spherically symmetric solutions of the relativistic Euler equation. Zbl 1060.35144
Hsu, Cheng-Hsiung; Lin, Song-Sun; Makino, Tetu
2004
On slowly rotating axisymmetric solutions of the Euler-Poisson equations. Zbl 1375.35379
Jang, Juhi; Makino, Tetu
2017
On the relativistic Euler equation. Zbl 1004.35117
Hsu, Cheng-Hsiung; Lin, Song-Sun; Makino, Tetu
2001
A discrete-event neural network simulator for general neuron models. Zbl 1040.68101
Makino, T.
2003
On spherically symmetric solutions of the Einstein-Euler equations. Zbl 1351.35220
Makino, Tetu
2016
On spherically symmetric motions of a gaseous star governed by the Euler-Poisson equations. Zbl 1323.35180
Makino, Tetu
2015
Free boundary problem for the equation of spherically symmetric motion of viscous gas. II. Zbl 0835.76090
Matušů-Nečasová, Šárka; Okada, Mari; Makino, Tetu
1995
Spherically symmetric solutions to the compressible Euler equation with an asymptotic $$\gamma$$-law. Zbl 1039.76055
Hsu, Cheng-Hsiung; Makino, Tetu
2003
On rotating axisymmetric solutions of the Euler-Poisson equations. Zbl 1406.35280
Jang, Juhi; Makino, Tetu
2019
On the spiral structure of the $$(R,M)$$-diagram for a stellar model of the Tolman-Oppenheimer-Volkoff equation. Zbl 1142.83303
Makino, Tetu
2000
On the existence of positive solutions at infinity for ordinary differential equations of Emden type. Zbl 0579.34026
Makino, Tetu
1984
On spherically symmetric motions of the atmosphere surrounding a planet governed by the compressible Euler equations. Zbl 1330.35309
Makino, Tetu
2015
Smooth solutions to a class of quasilinear wave equations. Zbl 1100.35071
Hsu, Cheng-Hsiung; Lin, Song-Sun; Makino, Tetu
2006
An application of the Nash-Moser theorem to the vacuum boundary problem of gaseous stars. Zbl 1368.35184
Makino, Tetu
2017
Les solutions à support compact de l’équation du mouvement des atmosphères d’étoiles. (Solutions with compact support for the equation of motion of stellar atmospheres). Zbl 0687.76076
Makino, Tetu
1989
On the spherically symmetric motion of self-gravitating isentropic gas surrounding a solid ball. Zbl 0885.35099
Makino, Tetu
1997
On compactly supported solutions of the compressible Euler equation. Zbl 0651.35009
Makino, Tetu; Ukai, Seiji; Kawashima, Shuichi
1987
Monotone-short solutions of the Tolman-Oppenheimer-Volkoff-de Sitter equation. Zbl 1350.83006
Hsu, Cheng-Hsiung; Makino, Tetu
2016
On slowly rotating axisymmetric solutions of the Einstein-Euler equations. Zbl 1402.83029
Makino, Tetu
2018
Free boundary problem for the equation of one-dimensional motion of compressible viscous gas. Zbl 0968.76580
Okada, Mari; Matušů-Nečasová, Šárka; Makino, Tetu
2000
Weak solutions to the compressible Euler equation with an asymptotic $$\gamma$$-law. Zbl 1039.35073
Makino, Tetu
2001
Periodic solutions to the 1-dimensional compressible Euler equation with gravity. Zbl 1102.35303
Hsu, Cheng-Hsiung; Lin, Song-Sun; Makino, Tetu
2006
Linearized analysis of barotropic perturbations around spherically symmetric gaseous stars governed by the Euler-Poisson equations. Zbl 1444.76057
Jang, Juhi; Makino, Tetu
2020
Linearized analysis of barotropic perturbations around spherically symmetric gaseous stars governed by the Euler-Poisson equations. Zbl 1444.76057
Jang, Juhi; Makino, Tetu
2020
On rotating axisymmetric solutions of the Euler-Poisson equations. Zbl 1406.35280
Jang, Juhi; Makino, Tetu
2019
On slowly rotating axisymmetric solutions of the Einstein-Euler equations. Zbl 1402.83029
Makino, Tetu
2018
On slowly rotating axisymmetric solutions of the Euler-Poisson equations. Zbl 1375.35379
Jang, Juhi; Makino, Tetu
2017
An application of the Nash-Moser theorem to the vacuum boundary problem of gaseous stars. Zbl 1368.35184
Makino, Tetu
2017
On spherically symmetric solutions of the Einstein-Euler equations. Zbl 1351.35220
Makino, Tetu
2016
Monotone-short solutions of the Tolman-Oppenheimer-Volkoff-de Sitter equation. Zbl 1350.83006
Hsu, Cheng-Hsiung; Makino, Tetu
2016
On spherically symmetric motions of a gaseous star governed by the Euler-Poisson equations. Zbl 1323.35180
Makino, Tetu
2015
On spherically symmetric motions of the atmosphere surrounding a planet governed by the compressible Euler equations. Zbl 1330.35309
Makino, Tetu
2015
Smooth solutions to a class of quasilinear wave equations. Zbl 1100.35071
Hsu, Cheng-Hsiung; Lin, Song-Sun; Makino, Tetu
2006
Periodic solutions to the 1-dimensional compressible Euler equation with gravity. Zbl 1102.35303
Hsu, Cheng-Hsiung; Lin, Song-Sun; Makino, Tetu
2006
On spherically symmetric solutions of the relativistic Euler equation. Zbl 1060.35144
Hsu, Cheng-Hsiung; Lin, Song-Sun; Makino, Tetu
2004
A discrete-event neural network simulator for general neuron models. Zbl 1040.68101
Makino, T.
2003
Spherically symmetric solutions to the compressible Euler equation with an asymptotic $$\gamma$$-law. Zbl 1039.76055
Hsu, Cheng-Hsiung; Makino, Tetu
2003
Free boundary problem for the equation of one-dimensional motion of compressible gas with density-dependent viscosity. Zbl 1027.76042
Okada, Mari; Matsušů-Nečasová, Šárka; Makino, Tetu
2002
On the relativistic Euler equation. Zbl 1004.35117
Hsu, Cheng-Hsiung; Lin, Song-Sun; Makino, Tetu
2001
Weak solutions to the compressible Euler equation with an asymptotic $$\gamma$$-law. Zbl 1039.35073
Makino, Tetu
2001
On the spiral structure of the $$(R,M)$$-diagram for a stellar model of the Tolman-Oppenheimer-Volkoff equation. Zbl 1142.83303
Makino, Tetu
2000
Free boundary problem for the equation of one-dimensional motion of compressible viscous gas. Zbl 0968.76580
Okada, Mari; Matušů-Nečasová, Šárka; Makino, Tetu
2000
On spherically symmetric stellar models in general relativity. Zbl 0919.53032
Makino, Tetu
1998
Free boundary problem for the equation of spherically symmetric motion of viscous gas. III. Zbl 1306.76038
Matušu-Nečasová, Šárka; Okada, Mari; Makino, Tetu
1997
On the spherically symmetric motion of self-gravitating isentropic gas surrounding a solid ball. Zbl 0885.35099
Makino, Tetu
1997
Local smooth solutions of the relativistic Euler equation. Zbl 0833.35086
Makino, Tetu; Ukai, Seiji
1995
Local smooth solutions of the relativistic Euler equation. II. Zbl 0870.76103
Makino, Tetu; Ukai, Seiji
1995
Free boundary problem for the equation of spherically symmetric motion of viscous gas. II. Zbl 0835.76090
Matušů-Nečasová, Šárka; Okada, Mari; Makino, Tetu
1995
Initial boundary value problem for the spherically symmetric motion of isentropic gas. Zbl 0797.76077
Makino, Tetu; Takeno, Shigeharu
1994
Global weak solutions of the compressible Euler equation with spherical symmetry. II. Zbl 0812.35101
Makino, Tetu; Mizohata, Kiyoshi; Ukai, Seiji
1994
Free boundary problem for the equation of spherically symmetric motion of viscous gas. Zbl 0783.76082
1993
Blowing up solutions of the Euler-Poisson equation for the evolution of gaseous stars. Zbl 0793.76069
Makino, Tetu
1992
The global weak solutions of compressible Euler equation with spherical symmetry. Zbl 0761.76085
Makino, Tetu; Mizohata, Kiyoshi; Ukai, Seiji
1992
On spherical symmetry solutions of the Euler-Poisson equation for the evolution of gaseous stars. (Sur les solutions à symmétrie sphérique de l’équation d’Euler-Poisson pour l’évolution d’étoiles gazeuses.) Zbl 0743.35048
Makino, Tetu; Perthame, Benoît
1990
Les solutions à support compact de l’équation du mouvement des atmosphères d’étoiles. (Solutions with compact support for the equation of motion of stellar atmospheres). Zbl 0687.76076
Makino, Tetu
1989
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
1987
On compactly supported solutions of the compressible Euler equation. Zbl 0651.35009
Makino, Tetu; Ukai, Seiji; Kawashima, Shuichi
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
1986
On a local existence theorem for the evolution equation of gaseous stars. Zbl 0623.35058
Makino, Tetu
1986
On the existence of positive solutions at infinity for ordinary differential equations of Emden type. Zbl 0579.34026
Makino, Tetu
1984
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### Cited by 292 Authors

 23 Yuen, Manwai 21 Makino, Tetu 17 Zhu, Changjiang 14 Li, Yachun 14 Yang, Tong 13 Jang, Juhi 13 Zhu, Shengguo 12 Chen, Gui-Qiang G. 11 Guo, Zhenhua 11 Lian, Ruxu 10 Luo, Tao 9 Li, Hailiang 8 Geng, Yongcai 8 Hadzic, Mahir 7 Carles, Rémi 7 Ducomet, Bernard 7 Hsu, Cheng-Hsiung 7 Tsuge, Naoki 7 Wang, Dehua 7 Xin, Zhouping 7 Zeng, Huihui 6 Fang, Daoyuan 6 Pan, Ronghua 6 Zhang, Ting 5 Andréasson, Håkan 5 Dong, Jianwei 5 Huang, Lan 5 Mai, La-Su 5 Nečasová, Šárka 5 Ou, Yaobin 5 Tan, Zhong 5 Yao, Lei 5 Yao, Zhengan 4 Duan, Qin 4 Hong, GuangYi 4 Li, Zilai 4 Lin, Song-Sun 4 Liu, Jian 4 Mizohata, Kiyoshi 4 Rein, Gerhard 4 Rendall, Alan D. 4 Shkoller, Steve 4 Sideris, Thomas C. 4 Smoller, Joel Alan 4 Ukai, Seiji 4 Wen, Huanyao 4 Wu, Yilun 4 Yin, Gan 3 Brauer, Uwe 3 Ding, Shijin 3 Evje, Steinar 3 Huang, Feimin 3 Jiu, Quansen 3 Kwong, Man Kam 3 LeFloch, Philippe Gerard 3 Lei, Zhen 3 Li, Tianhong 3 Lin, Ping 3 Lu, Yunguang 3 Ma, Zongwei 3 Masmoudi, Nader 3 Oliynyk, Todd Andrew 3 Perthame, Benoît 3 Strauss, Walter Alexander 3 Tadmor, Eitan 3 Wang, Shu 3 Wang, Yuexun 3 Wu, Xinglong 3 Zhao, Huijiang 3 Zhu, Xusheng 2 Alazard, Thomas 2 Burtscher, Annegret Y. 2 Carrapatoso, Kleber 2 Chen, Geng 2 Cheung, Ka-Luen 2 Coutand, Daniel 2 Danchin, Raphaël 2 Disconzi, Marcelo Mendes 2 Dou, Changsheng 2 Glimm, James G. 2 Gu, Xumin 2 Guo, Boling 2 Guo, Yan 2 Hillairet, Matthieu 2 Hong, John Meng-Kai 2 Hsiao, Ling 2 Huang, Jinrui 2 Jenssen, Helge Kristian 2 Jiang, Fei 2 Jiang, Peng 2 Karp, Lavi 2 Lin, Zhiwu 2 Liu, Hailiang 2 Liu, Jianli 2 Liu, Tai-Ping 2 Lou, Guangpu 2 Nishibata, Shinya 2 Okada, Mari 2 Qin, Xulong 2 Qin, Yuming ...and 192 more Authors
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### Cited in 89 Serials

 55 Journal of Differential Equations 33 Archive for Rational Mechanics and Analysis 24 Journal of Mathematical Analysis and Applications 21 Communications in Mathematical Physics 21 Journal of Mathematical Physics 11 Japan Journal of Industrial and Applied Mathematics 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Journal of Hyperbolic Differential Equations 8 SIAM Journal on Mathematical Analysis 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Acta Mathematicae Applicatae Sinica. English Series 7 Communications in Partial Differential Equations 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Mathematical Methods in the Applied Sciences 5 Quarterly of Applied Mathematics 5 Chinese Annals of Mathematics. Series B 5 Physica D 5 Journal of Mathematical Fluid Mechanics 5 Nonlinear Analysis. Real World Applications 4 Applicable Analysis 4 Nonlinearity 4 Acta Applicandae Mathematicae 4 Japan Journal of Applied Mathematics 4 Acta Mathematica Sinica. English Series 4 Living Reviews in Relativity 4 Annales Henri Poincaré 4 Communications on Pure and Applied Analysis 3 Classical and Quantum Gravity 3 Communications on Pure and Applied Mathematics 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Calculus of Variations and Partial Differential Equations 3 Journal of Evolution Equations 3 Journal of Applied Mathematics 3 Boundary Value Problems 2 Journal of Mathematical Biology 2 Kodai Mathematical Journal 2 Osaka Journal of Mathematics 2 Applied Mathematics Letters 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 Abstract and Applied Analysis 2 European Journal of Mechanics. B. Fluids 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 Kinetic and Related Models 1 Computers & Mathematics with Applications 1 General Relativity and Gravitation 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Physics Reports 1 Transport Theory and Statistical Physics 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Journal of Scientific Computing 1 Science in China. Series A 1 Journal of Dynamics and Differential Equations 1 Journal of Inequalities and Applications 1 Annals of Mathematics. Second Series 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Differential Equations 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Differential Equations and Applications 1 Advances in Applied Mathematics and Mechanics 1 Kyoto Journal of Mathematics 1 Evolution Equations and Control Theory 1 Annals of PDE 1 International Journal of Applied and Computational Mathematics 1 AIMS Mathematics 1 Annales Henri Lebesgue
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### Cited in 25 Fields

 344 Partial differential equations (35-XX) 271 Fluid mechanics (76-XX) 64 Astronomy and astrophysics (85-XX) 42 Relativity and gravitational theory (83-XX) 11 Numerical analysis (65-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Quantum theory (81-XX) 6 Optics, electromagnetic theory (78-XX) 5 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of deformable solids (74-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)