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## Kobayashi, Takayuki

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 Author ID: kobayashi.takayuki Published as: Kobayashi, T.; Kobayashi, Takayuki
 Documents Indexed: 36 Publications since 1992, including 1 Book
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#### Co-Authors

 7 single-authored 5 Kubo, Takayuki 5 Shibata, Yoshihiro 4 Suzuki, Takashi 3 Kagei, Yoshiyuki 3 Misawa, Masashi 2 Nakamura, Kenji 2 Watanabe, Kazuo 1 Chikami, Noboru 1 Dan, Wakako 1 Enomoto, Yuko 1 Fujii, Kazuyuki 1 Funahashi, Kunio 1 Muramatu, Tosinobu 1 Ogawa, Takayoshi 1 Okamura, Shoko 1 Pecher, Hartmut 1 Shimizu, Senjo 1 Yamaguchi, Norikazu 1 Zajączkowski, Wojciech M.
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#### Serials

 3 Tsukuba Journal of Mathematics 2 Archive for Rational Mechanics and Analysis 2 Journal of Differential Equations 2 Mathematische Annalen 2 RIMS Kokyuroku 2 Journal of Mathematical Fluid Mechanics 1 Communications in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Indiana University Mathematics Journal 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Differential and Integral Equations 1 Advances in Mathematical Sciences and Applications 1 Applicationes Mathematicae 1 International Journal of Geometric Methods in Modern Physics 1 GAKUTO International Series. Mathematical Sciences and Applications 1 RIMS Kôkyûroku Bessatsu
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#### Fields

 30 Partial differential equations (35-XX) 25 Fluid mechanics (76-XX) 2 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 464 times in 266 Documents Cited by Year
Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in $$\mathbb{R}^3$$. Zbl 0921.35092
Kobayashi, Takayuki; Shibata, Yoshihiro
1999
Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half-space. Zbl 1098.76062
Kagei, Yoshiyuki; Kobayashi, Takayuki
2005
Some estimates of solutions for the equations of motion of compressible viscous fluid in the three-dimensional exterior domain. Zbl 1069.35051
Kobayashi, Takayuki
2002
On large-time behavior of solutions to the compressible Navier-Stokes equations in the half space in $$\mathbb R^3$$. Zbl 1016.35055
Kagei, Yoshiuki; Kobayashi, Takayuki
2002
On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity. Zbl 0788.35001
Kobayashi, Takayuki; Pecher, Hartmut; Shibata, Yoshihiro
1993
On the Oseen equation in the three dimensional exterior domains. Zbl 0891.35114
Kobayashi, Takayuki; Shibata, Yoshihiro
1998
Weak solutions to the Navier-Stokes-Poisson equation. Zbl 1162.35002
Kobayashi, Takayuki; Suzuki, Takashi
2008
Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations. Zbl 1060.35104
Kobayashi, Takayuki; Shibata, Yoshihiro
2002
Jarlskog’s parametrization of unitary matrices and qudit theory. Zbl 1093.68040
Fujii, Kazuyuki; Funahashi, Kunio; Kobayashi, Takayuki
2006
Fluid mechanical approximation to the degenerated drift-diffusion system from the compressible Navier-Stokes-Poisson system. Zbl 1296.35120
Kobayashi, Takayuki; Ogawa, Takayoshi
2013
On a local energy decay of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in $$\mathbb{R}^ 3$$. Zbl 1033.35505
Kobayashi, Takayuki
1997
Global well-posedness and time-decay estimates of the compressible Navier-Stokes-Korteweg system in critical Besov spaces. Zbl 1420.35228
Chikami, Noboru; Kobayashi, Takayuki
2019
Weighted $$L^p-L^q$$ estimates of the Stokes semigroup in some unbounded domains. Zbl 1282.35103
Kobayashi, Takayuki; Kubo, Takayuki
2013
Abstract Besov space approach to the non-stationary Navier-Stokes equations. Zbl 0771.35046
Kobayashi, Takayuki; Muramatu, Tosinobu
1992
$$L^2$$ boundedness for the 2D exterior problems for the semilinear heat and dissipative wave equations. Zbl 1304.35155
Kobayashi, Takayuki; Misawa, Masashi
2013
On global motion of a compressible barotropic viscous fluid with slip boundary condition. Zbl 1016.76064
Kobayashi, Takayuki; Zajączkowski, Wojciech M.
1999
Weighted $$L^p-L^q$$ estimates of Stokes semigroup in half-space and its application to the Navier-Stokes equations. Zbl 1341.35101
Kobayashi, Takayuki; Kubo, Takayuki
2016
On the local energy decay approach to some fluid flow in an exterior domain. Zbl 0912.35119
Dan, Wakako; Kobayashi, Takayuki; Shibata, Yoshihiro
1998
On the local energy decay of higher derivatives of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in $$\mathbb{R}^3$$. Zbl 0907.76070
Kobayashi, Takayuki
1997
Interface vanishing for solutions to Maxwell and Stokes systems. Zbl 1104.35057
Kobayashi, Takayuki; Suzuki, Takashi; Watanabe, Kazuo
2006
Interface regularity for Maxwell and Stokes systems. Zbl 1050.35117
Kobayashi, Takayuki; Suzuki, Takashi; Watanabe, Kazuo
2003
$$L_2$$ and $$L_\infty$$ estimates of the solutions for the compressible Navier-Stokes equations in a 3D exterior domain. Zbl 1006.35075
Kobayashi, Takayuki
2002
Global well-posedness and time-decay estimates of the compressible Navier-Stokes-Korteweg system in critical Besov spaces. Zbl 1420.35228
Chikami, Noboru; Kobayashi, Takayuki
2019
Weighted $$L^p-L^q$$ estimates of Stokes semigroup in half-space and its application to the Navier-Stokes equations. Zbl 1341.35101
Kobayashi, Takayuki; Kubo, Takayuki
2016
Fluid mechanical approximation to the degenerated drift-diffusion system from the compressible Navier-Stokes-Poisson system. Zbl 1296.35120
Kobayashi, Takayuki; Ogawa, Takayoshi
2013
Weighted $$L^p-L^q$$ estimates of the Stokes semigroup in some unbounded domains. Zbl 1282.35103
Kobayashi, Takayuki; Kubo, Takayuki
2013
$$L^2$$ boundedness for the 2D exterior problems for the semilinear heat and dissipative wave equations. Zbl 1304.35155
Kobayashi, Takayuki; Misawa, Masashi
2013
Weak solutions to the Navier-Stokes-Poisson equation. Zbl 1162.35002
Kobayashi, Takayuki; Suzuki, Takashi
2008
Jarlskog’s parametrization of unitary matrices and qudit theory. Zbl 1093.68040
Fujii, Kazuyuki; Funahashi, Kunio; Kobayashi, Takayuki
2006
Interface vanishing for solutions to Maxwell and Stokes systems. Zbl 1104.35057
Kobayashi, Takayuki; Suzuki, Takashi; Watanabe, Kazuo
2006
Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half-space. Zbl 1098.76062
Kagei, Yoshiyuki; Kobayashi, Takayuki
2005
Interface regularity for Maxwell and Stokes systems. Zbl 1050.35117
Kobayashi, Takayuki; Suzuki, Takashi; Watanabe, Kazuo
2003
Some estimates of solutions for the equations of motion of compressible viscous fluid in the three-dimensional exterior domain. Zbl 1069.35051
Kobayashi, Takayuki
2002
On large-time behavior of solutions to the compressible Navier-Stokes equations in the half space in $$\mathbb R^3$$. Zbl 1016.35055
Kagei, Yoshiuki; Kobayashi, Takayuki
2002
Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations. Zbl 1060.35104
Kobayashi, Takayuki; Shibata, Yoshihiro
2002
$$L_2$$ and $$L_\infty$$ estimates of the solutions for the compressible Navier-Stokes equations in a 3D exterior domain. Zbl 1006.35075
Kobayashi, Takayuki
2002
Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in $$\mathbb{R}^3$$. Zbl 0921.35092
Kobayashi, Takayuki; Shibata, Yoshihiro
1999
On global motion of a compressible barotropic viscous fluid with slip boundary condition. Zbl 1016.76064
Kobayashi, Takayuki; Zajączkowski, Wojciech M.
1999
On the Oseen equation in the three dimensional exterior domains. Zbl 0891.35114
Kobayashi, Takayuki; Shibata, Yoshihiro
1998
On the local energy decay approach to some fluid flow in an exterior domain. Zbl 0912.35119
Dan, Wakako; Kobayashi, Takayuki; Shibata, Yoshihiro
1998
On a local energy decay of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in $$\mathbb{R}^ 3$$. Zbl 1033.35505
Kobayashi, Takayuki
1997
On the local energy decay of higher derivatives of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in $$\mathbb{R}^3$$. Zbl 0907.76070
Kobayashi, Takayuki
1997
On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity. Zbl 0788.35001
Kobayashi, Takayuki; Pecher, Hartmut; Shibata, Yoshihiro
1993
Abstract Besov space approach to the non-stationary Navier-Stokes equations. Zbl 0771.35046
Kobayashi, Takayuki; Muramatu, Tosinobu
1992
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#### Cited by 283 Authors

 27 Tan, Zhong 15 Kagei, Yoshiyuki 10 Wang, Weike 10 Yao, Zhengan 9 Guo, Boling 9 Wang, Wenjun 7 Pu, Xueke 6 Jiang, Fei 6 Kobayashi, Takayuki 6 Li, Yin 6 Shibata, Yoshihiro 6 Wei, Ruiying 6 Wu, Zhigang 6 Xu, Fuyi 6 Xu, Jiang 5 Danchin, Raphaël 5 Deuring, Paul 5 Hishida, Toshiaki 5 Li, Hailiang 5 Ogawa, Takayoshi 5 Ukai, Seiji 5 Wang, Huaqiao 5 Wang, Yanjin 5 Xi, Xiaoyu 5 Yang, Tong 5 Yang, Zhijian 5 Zhu, Changjiang 4 Du, Linglong 4 Duan, Renjun 4 Tong, Leilei 4 Tsuda, Kazuyuki 4 Wakui, Hiroshi 4 Wu, Guochun 4 Zhang, Yinghui 3 Bian, Dongfen 3 Fujii, Kazuyuki 3 Galdi, Giovanni Paolo 3 Gao, Jincheng 3 Ikehata, Ryo 3 Li, Jinkai 3 Mucha, Piotr Bogusław 3 Murata, Miho 3 Wen, Huanyao 3 Xu, Hongmei 3 Xu, Xiuli 3 Yao, Lei 3 Yin, Junping 3 Zajączkowski, Wojciech M. 3 Zhang, Ting 2 Bie, Qunyi 2 Bruning, Erwin Albert Karl 2 Cai, Hong 2 Chen, Qing 2 Chernov, Andreĭ Vladimirovich 2 Chi, Meiling 2 Choi, Young-Pil 2 Deng, Shijin 2 Enomoto, Shota 2 Fang, Daoyuan 2 Feng, Na 2 Gao, Zhensheng 2 Gawinecki, Jerzy August 2 Hwang, Jinsoo 2 Ikeda, Masahiro 2 Kawashima, Shuichi 2 Kračmar, Stanislav 2 Kubo, Takayuki 2 Liu, Hairong 2 Liu, Lishan 2 Liu, Zhiming 2 Maekawa, Yasunori 2 Medková, Dagmar 2 Nakao, Mitsuhiro 2 Nečasová, Šárka 2 Neustupa, Jiří 2 Nguyen Thieu Huy 2 Okabe, Takahiro 2 Petruccione, Francesco 2 Sun, Fuqin 2 Suzuki, Tatsuo 2 Taniuchi, Yasushi 2 Tao, Qiang 2 Varnhorn, Werner 2 Wang, Mingxin 2 Wang, Qiru 2 Wang, Weiwei 2 Wang, Yong 2 Wu, Yonghong 2 Xie, Feng 2 Xin, Zhouping 2 Xu, Xinying 2 Zhang, Guojing 2 Zhang, Jianwen 2 Zhang, Xinguang 2 Zhao, Huijiang 2 Zhong, Hua 1 Al-saedi, Ahmed Eid Salem 1 Amaranath, T. 1 Aoyama, Reika 1 Avalos, George ...and 183 more Authors
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#### Cited in 73 Serials

 41 Journal of Differential Equations 24 Journal of Mathematical Analysis and Applications 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Archive for Rational Mechanics and Analysis 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 Journal of Mathematical Fluid Mechanics 11 Discrete and Continuous Dynamical Systems 8 Journal of Mathematical Physics 7 Mathematical Methods in the Applied Sciences 6 Journal of Evolution Equations 5 Applicable Analysis 5 Nonlinear Analysis. Real World Applications 5 Communications on Pure and Applied Analysis 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Acta Mathematicae Applicatae Sinica. English Series 4 Communications in Partial Differential Equations 4 Acta Mathematica Sinica. English Series 3 Journal of the Mathematical Society of Japan 3 Acta Applicandae Mathematicae 3 SIAM Journal on Mathematical Analysis 3 International Journal of Geometric Methods in Modern Physics 3 Journal of Hyperbolic Differential Equations 2 Communications in Mathematical Physics 2 Nonlinearity 2 Advances in Mathematics 2 Osaka Journal of Mathematics 2 Chinese Annals of Mathematics. Series B 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of the Institute of Mathematics of Jussieu 2 Analysis and Applications (Singapore) 2 Evolution Equations and Control Theory 1 Computers & Mathematics with Applications 1 Mathematical Notes 1 Theoretical and Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the Japan Academy. Series A 1 Quarterly of Applied Mathematics 1 Tokyo Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Mathematics Letters 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Applicationes Mathematicae 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Opuscula Mathematica 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Open Systems & Information Dynamics 1 Journal of Modern Optics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Networks and Heterogeneous Media 1 Kinetic and Related Models 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 ISRN Mathematical Analysis 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Nonlinear Analysis. Theory, Methods & Applications 1 Electronic Research Archive
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#### Cited in 30 Fields

 243 Partial differential equations (35-XX) 188 Fluid mechanics (76-XX) 10 Quantum theory (81-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Numerical analysis (65-XX) 7 Mechanics of deformable solids (74-XX) 6 Operator theory (47-XX) 6 Optics, electromagnetic theory (78-XX) 6 Biology and other natural sciences (92-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Systems theory; control (93-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)