経歴 1
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2014年3月 ~ 継続中大阪大学 大学院基礎工学研究科 教授
日本数学会
自然科学一般 / 基礎解析学 /
Resolvent Estimates for a Compressible Fluid Model of Korteweg Type and Their Application
T. Kobayashi, M. Murata, H. Saito
Journal of Mathematical Fluid Mechanics Vol. 24 No. 1 2022年2月 研究論文(学術雑誌)
出版者・発行元:Springer Science and Business Media LLCAsymptotic Profile for Diffusion Wave Terms of the Compressible Navier–Stokes–Korteweg System
T. Kobayashi, M. Misawa, K. Tsuda
Mathematics Vol. 9(6) No. 683 p. 1-20 2021年3月22日 研究論文(学術雑誌)
出版者・発行元:MDPI AGThe global well-posedness of the compressible fluid model of Korteweg type for the critical case
T. Kobayashi and M. Murata
Differential and Integral Equation Vol. 34 No. 5-6 p. 245-264 2021年 研究論文(学術雑誌)
Time decay estimate with diffusion wave property and smoothing effect for solutions to the compressible Navier-Stokes-Korteweg system
T. Kobayashi and K. Tsuda
Funkcialaj Ekvacioj Vol. 64 p. 163-187 2021年 研究論文(学術雑誌)
Global existence and time decay estimate of solutions to the compressible Navier-Stokes-Korteweg system under critical condition
T. Kobayashi and Y. Tsuda
Asymptotic Analysis Vol. 121 No. 2 p. 195-217 2021年 研究論文(学術雑誌)
Global well-posedness and time-decay estimates of the compressible Navier-Stokes-Korteweg system in critical Besov spaces
N. Chikami and T. Kobayashi
J. Math. Fluid Mech. Vol. 21 No. 2 2019年 研究論文(学術雑誌)
Time-space L2-boundedness for the 2D Navier-Stokes equations and hyperbolic Navier-Stokes
T. Kobayashi , M. Misawa and K. Nakamura
Tsukuba J. Mathematics Vol. 43 No. 2 p. 223-237 2019年 研究論文(学術雑誌)
On a local energy decay estimate of solutions to the hyperbolic type Stokes equations
T. Kobayashi, T. Kubo and K. Nakamura
J. Differential Equations Vol. 263 No. 10 p. 6061-6081 2018年 研究論文(学術雑誌)
Weighted Lp - Lq estimates of stokes semigroup in half-space and its application to the Navier-Stokes Equation
T. Kobayashi, T. Kubo
Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday Vol. none p. 337-349 2016年 研究論文(国際会議プロシーディングス)
出版者・発行元:Springer VerlagWeighted estimate of Stokes semigroup in unbounded domains
T. Kobayashi and T. Kubo
Advanced Studies in Pure Mathematics, Nonlinear Dynamics in Partial Differential Equations Vol. 64 p. 427-435 2014年 研究論文(学術雑誌)
Fluid mechanical approximation to the degenerated drift-diffusion system from the compressible Navier-Stokes-Poisson system
T. Kobayashi, T. Ogawa
Indiana University Mathematics Journal Vol. 62 No. 3 p. 1021-1054 2013年 研究論文(学術雑誌)
出版者・発行元:Department of Mathematics, Indiana University$L^2$ boundedness for the 2D exterior problems for the semilinear heat and dissipative wave equations
T. Kobayashi and M. Misawa
Rims Kokyuroku Bessatsu Vol. B42 p. 1-11 2013年 研究論文(学術雑誌)
Weighted Lp-Lq-estimates of the Stokes semigroup in some unbounded domains
T. Kobayashi and T. Kubo
Tsukuba J. Mathematics Vol. 37 No. 2 p. 179-205 2013年 研究論文(学術雑誌)
DECAY PROPERTY FOR THE LINEAR WAVE EQUATIONS IN TWO-DIMENSIONAL EXTERIOR DOMAINS
Masashi Misawa, Shoko Okamura, Takayuki Kobayashi
DIFFERENTIAL AND INTEGRAL EQUATIONS Vol. 24 No. 9-10 p. 941-964 2011年9月 研究論文(学術雑誌)
Weak solutions to the Navier-Stokes-Poisson equation equations
T. Kobayashi and T.Suzuki
Adv. Math. Sci. Appl. Vol. 18 No. 1 p. 141-161 2008年 研究論文(学術雑誌)
Interface vanishing for solutions to Maxwell and Stokes systems
Takayuki Kobayashi, Takashi Suzuki, Kazuo Watanabe
JOURNAL OF MATHEMATICAL FLUID MECHANICS Vol. 8 No. 3 p. 382-397 2006年8月 研究論文(学術雑誌)
Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space
Y.Kagei and T. Kobayashi
Arch. Rat. Mech. Anal. Vol. 177 p. 231-330 2005年 研究論文(学術雑誌)
Interface regularity for Maxell and Stokes systems
T Kobayashi, T Suzuki, K Watanabe
OSAKA JOURNAL OF MATHEMATICS Vol. 40 No. 4 p. 925-943 2003年12月 研究論文(学術雑誌)
Some estimates of solutions for the equations of motion of compressible viscous fluid in the three-dimensional exterior domain
T Kobayashi
JOURNAL OF DIFFERENTIAL EQUATIONS Vol. 184 No. 2 p. 587-619 2002年9月 研究論文(学術雑誌)
L-2 and L-infinity estimates of the solutions for the compressible Navier-Stokes equations in a 3D exterior domain
T. Kobayashi
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES Vol. 38 No. 1 p. 211-225 2002年2月 研究論文(学術雑誌)
Remark on the rate of decay of solutions to linearlized for the compressible Navier-Stokes equations
T. Kobayashi and Y. Shibata
Pacific J. Math. Vol. 207 No. 1 p. 199-234 2002年 研究論文(学術雑誌)
On large time behavior of solutions to the compressible Navier-Stokes equations in the half space in R3
Y. Kagei and T. Kobayashi
Arch. Rat. Mech. Anal. Vol. 207 No. 1 p. 89-159 2002年 研究論文(学術雑誌)
Remark on the L-2 estimates of the density for the compressible Navier-Stokes flow in R-3
R Ikehata, T Kobayashi, T Matsuyama
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS Vol. 47 No. 4 p. 2519-2526 2001年8月 研究論文(学術雑誌)
Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in R-3
T Kobayashi, Y Shibata
COMMUNICATIONS IN MATHEMATICAL PHYSICS Vol. 200 No. 3 p. 621-659 1999年2月 研究論文(学術雑誌)
On global motion of a compressible baro-tropic viscous fluid with boundary slip condition
T. Kobayashi and W. M. Zajaczhowski
Applicationes Mathematiae Vol. 26 No. 2 p. 159-194 1999年 研究論文(学術雑誌)
On the Oseen equation in the three dimensional exterior domains
T Kobayashi, Y Shibata
MATHEMATISCHE ANNALEN Vol. 310 No. 1 p. 1-45 1998年1月 研究論文(学術雑誌)
On the local energy decay approach to some fluid flow in an exterior domain
W. Dan, T. Kobayashi and Y. Shibata
Lecture Notes in Num. Appl. Anal. (Kinokuniya) Vol. 16 p. 1-51 1998年 研究論文(学術雑誌)
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 R-3
T. Kobayashi
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES Vol. 73 No. 7 p. 126-129 1997年9月 研究論文(学術雑誌)
On a local energy decay of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in R3
T. Kobayashi
Tsukuba J. Math. Vol. 21 No. 3 p. 629-670 1997年 研究論文(学術雑誌)
ON A GLOBAL IN TIME EXISTENCE THEOREM OF SMOOTH SOLUTIONS TO A NONLINEAR-WAVE EQUATION WITH VISCOSITY
T KOBAYASHI, H PECHER, Y SHIBATA
MATHEMATISCHE ANNALEN Vol. 296 No. 2 p. 215-234 1993年6月 研究論文(学術雑誌)
ABSTRACT BESOV SPACE APPROACH TO THE NONSTATIONARY NAVIER-STOKES EQUATIONS
T KOBAYASHI, T MURAMATU
MATHEMATICAL METHODS IN THE APPLIED SCIENCES Vol. 15 No. 9 p. 599-620 1992年12月 研究論文(学術雑誌)
L2 boundedness of the solutions to the 2D Navier-Stokes equations and hyperbolic Navier-Stokes
T. Kobayashi
RIMS kokyuroku Vol. 1971 p. 69-75 2015年
Weak solutions to the equations of Magnet-Hydrodynamics
T. Kobayashi and T. Suzuki
Proceedings of the National Institute for Mathematical Science Vol. 2 p. 175-180 2007年
Weak Solutions to the Navier-Stokes-Poisson Equations(Mathematical Analysis in Fluid and Gas Dynamics : A conference in honor of Professor Tai-Ping Liu on his 60th Birthday)
小林 孝行, 鈴木 貴
数理解析研究所講究録 Vol. 1495 p. 1-7 2006年5月
出版者・発行元:京都大学星雲方程式の弱解について (波の非線形現象の数理とその応用)
小林 孝行, 鈴木 貴
数理解析研究所講究録 Vol. 1430 p. 76-80 2005年5月
出版者・発行元:京都大学Weak solutions to the equations of Magnet-Hydrodynamics
T. Kobayashi, T. Suzuki
RIMS kokyuroku Vol. 1430 p. 76-81 2005年
Weak solutions to the Navier-Stokes Poisson equations
T. Kobayashi, T. Suzuki
GAKUTO Internatinal Ser. Math. Sci. Appl Vol. 22 p. 173-178 2005年
Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space
T. Kobayashi, Y. Kagei
Regularity and other aspects of the Navier-Stokes equations Banach Center Publications, Institute of Mathematics Warszawa Vol. 70 p. 131-138 2005年
Interface Vanishing for Solutions to Maxwell and Stokes Systems (波動の非線形現象とその応用 研究集会報告集)
小林 孝行, 鈴木 貴, 渡邉 一雄
数理解析研究所講究録 Vol. 1368 p. 65-71 2004年
出版者・発行元:京都大学On large time behavior of solutions to the Compressible Navier-Stokes Equations in the half space in R3 (流体と気体の数学解析 研究集会報告集)
隠居 良行, 小林 孝行
数理解析研究所講究録 Vol. 1322 p. 40-45 2003年
出版者・発行元:京都大学Some estimates of solutions for the equations of motion compressible viscous fluid in an 3D exterior domain
KOBAYASHI T.
Progr. Nonlinear Differential Equations Appl. Vol. 42 p. 151-158 2000年
Existence and asymptotic behavior for solutions of the equations of motion of compressible viscous
T. Kobayashi
RIMS kokyurok Vol. 1123 p. 107-112 2000年
On the exterior problem of compressible Navier-Stokes equation
T. Kobayashi
RIMS kokyuroku Vol. 1996 p. 170-189 1996年
Navier-Stokes 方程式の外部問題について
小林 孝行, 柴田 良弘
数理解析研究所講究録 Vol. 913 p. 185-190 1995年
出版者・発行元:京都大学Abstract Besov space approach to the non-stationary Navier-Stokes equations
T. Kobayashi, T. Muramatu
RIMS kokyuroku Vol. 785 p. 76-94 1992年
応用数理 : 基礎・モデリング・解法
太田雅人, 鈴木貴,小林孝行,土屋卓也
培風館 2015年12月
ISBN: 9784563011567
The proceedings on Mathematical Fluid Dynamics and Nonlinear Wave
Mathematical Fluid Dynamics and Nonlinear Wave (Conference), T. Kobayashi, S. Shimizu, Y. Enomoto, N. Yamaguchi and T. Kubo
Gakkōtosho 2015年
ISBN: 9784762504624
線形代数入門
中原徹,片山真一,小林孝行,工藤愛知
学術図書出版社 2008年
ISBN: 9784780601046
On the diffusion wave property for the solutions to the compressible Navier-Stokes -Korteweg system
T. Kobayashi
Fluids and Maximal Regularit. Kyoto Univ. Japan 2024年9月11日
Global well-posedness of the compressible Navier-Stokes-Korteweg system under critical condition
T. Kobayashi
International Workshop on Multi-Phase Flows: Analysis, Modelling and Numerics. Waseda Univ. Japan 2022年12月8日
Global existence and time decay estimate of solutions to the compressible Navier-Stokes-Korteweg system under critical condition
T. Kobayashi
"Maximal regularity and nonlinear PDE", RIMS in Kyoto Japan 2019年3月
Stability problem for a constant equilibrium to the Compressible Navier-Stokes-Korteweg system
T. Kobayashi
"Mathematical Fluid Mechanics and Related Topics", Tokyo Inst. Tech, Tokyo Japan 2018年9月
Decay property for the Compressible Navier-Stokes-Korteweg system
T. Kobayashi
"Workshop on Mathematical Sciences",Wayamba University, Sri Lanka, 2018年8月
On a local energy decay estimates of solutions to the linear hyperbolic Navier Stokes equations
T. Kobayashi
"The Third Wayamba International Conference", Wayamba University, Sri Lanka, 2018年8月
On a local energy decay estimates of solutions to the Hyperbolic type Stokes equations
T. Kobayashi
"Conference on Mathematical Fluid Dynamics" , Bad Boll, Germany, 2018年5月
Time decay estimate with diffusive property for solution to the compressible Navier-Stokes system
T. Kobayashi
"The 5th. Mathematical Theory of Turbulence via Harmonic Analysis and Computational Fluid Dynamics" , Nagoya University VBL, Nagoya Japan 2018年3月
Decay property for two-dimensional compressible Navier-Stokes equations
T. Kobayashi
The workshop "Nonlinear Partial Differential Equations in the Aspect of Regularity and Asymptotics”, Hotel Toya Sun Palace, Cristal Hall Toya, Hokkaido, Japan 2016年11月
Decay estimates of the solutions to the 2D compressible Navier-Stokes equation
T. Kobayashi
International Conference "The Navier-Stokes Equations and Related Topics", Nagoya University, Nagoya Japan 2016年3月
Decay property for the 2D Hyperbolic Navier-Stokes equations and its applications
小林孝行
「微分方程式の総合的研究」, 京都大学 2015年12月
Decay estimates of the solutions to the 2D linear viscoelastic equations and its applications to the compressible Navier-Stokes equations
T. Kobayashi
International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics5", Waseda University, Tokyo Japan 2015年11月
L2-boundedness of the solutions to the 2D compressible Navier-Stokes equations
T. Kobayashi
"Mathflows 2015",The IGESA center,Porquerolles, France 2015年9月
Decay estimates of solutions to the 2D dissipative wave equations and Hyperbolic Navier-Stokes
T. Kobayashi
"International Conference on Recent Advances in Hyperbolic Partial Differential Equations", International Conference Center Hiroshima, Japan 2014年12月
Decay estimates of the solutions to the 2D Hyperbolic Navier-Stokes equations.
T. Kobayashi
"Wayamba International Conference 2014", Wayamba University of Sri Lanka, Kuliyapitiya, Sri Lanka 2014年8月
Decay estimates of solutions to the 2D Hyperbolic Navier-Stokes equations
T. Kobayashi
2014 ICM-Satellite-Cau “Mathematical Theorey of Gases and Fluids and Related Applications”, Chung-Ang University, Seoul, Korea 2014年8月
L2 boundedness for the 2D exterior problems for the semilinear heat and its applications
T. Kobayashi
International conference "Quantization blow-up and concerntration in mathematical physics view point", Sigma hall, Dep. Engineering science, Osaka Univ, Japan 2013年3月
L2 boundedness for the solutions to the 2D semilinear heat equations and the 2D Navier-Stokes equations
T. Kobayashi
JSPS-DFG Japanese-German Graduate Externship, "The 7th Japanese-German International Workshop on Mathematical Fluid Dynamics", Waseda University Tokyo, Japan 2012年11月
L2 boundedness for the solutions to the 2D Navies-Stokes equations
T. Kobayashi
Parabolic and Navier-Stokes Equations 2012, Banach center, Bedlewo, Poland 2012年9月
Weighted Lp - theory for the Stokes resolvent in some unbounded domains
T. Kobayashi
The 4th Japanese-German International Workshop on Mathematical Fluid Dynamics, Waseda Univ. Tokyo Japan 2011年11月
Decay property of solutions to the $2D$ Wave equations with damping terms or strong damping terms
T. Kobayashi
Pohang-Kyushu workshop on Partial Differential Equations, Pohang, Korea 2011年6月
Weighted estimates of the solutions to the Navier-Stokes equations in half space and perturbed
T. Kobayashi
Workshop on Applied Mathematics Euskadi-Kyushu 2011, Basque, Spain 2011年3月
Weighted Lp-Lq estimates for the Stokes semigroup in some unbounded domains
T. Kobayashi
Partial differential equations and Mathematical Physics, Kyoto, Japan 2010年11月
Weighted estimates of the solutions to the Navier-Stokes equations in unbounded domains
T. Kobayashi
Workshop for the regularity and singularity for some nonlinear partial differential equations, Suwon, Korea. 2010年10月
Weighted estimates for the Stokes semigroup in half space and perturbed half-space
T. Kobayashi
Regularity aspects of PDE - a week for Wojciech Zajaczkowski, Bedlewo, Poland 2010年9月
Weak solutions to some equations of the compressible viscous flow
T. Kobayashi
Linear and Nonlinear Waves, No.7, Shiga, Japan 2009年11月
Drift-Diffusion System from Barotoropic Compressible Naveier-Stokes-Poisson system
T. Kobayashi
Analysis Seminar, Beijin, Chaina. 2008年11月
Fluid mechanical approximation to the degenerated drift- diffusion system from compressible Navier-Stokes-Poisson system
T. Kobayashi
Mathematical Fluid Dynamics, Darmstadt, Germany 2008年9月
Weighted estimates for the Stokes semigroup in an exterior domain
T. Kobayashi
Parabolic and Navier Stokes 2008, Bedlewo, Poland. 2008年9月
Fluid mechanical approximation to the degenerated drift- diffusion system from compressible Navier-Stokes-Poisson system
T. Kobayashi
New Aspects and Development of Mathematical Analysis in Nonlinear Phenomena, Fukuoka, Japan 2008年5月
The local energy decay approach to an incompressible flow in an exterior domain
T. Kobayashi
Navier-Stokes equations and related topics: KOSEF-JSPS joint research and seminar project, Suwon, Korea 2008年1月
Fluid mechanial approximation to the degenerated drift-diffusion system from compressible Navier-Stokes-Poisson system
T. Kobayashi
Partial Differential Equations Seminar, Suwon, Korea 2007年8月
Weak solution to the equations for the Magneto-Hydrodynamics
T. Kobayashi
NIMS International Workshop on Fluid Dynamics, Daejeon, Korea 2007年6月
Semigroup approach to the weak solutions for the equations of Mageto-Hydrodynamics
T. Kobayashi
Navier-Stokes equations and related topics(Kosef-Jsps Joint research and seminar project), Suwon, Korea. 2007年1月
Weak solutions to some equations of the compressible viscous flow
T. Kobayashi
The Sixth East Asia PDE conference, Wuhan University, China 2006年5月
Weak solutions to some equations of the compressible viscous flow
T. Kobayashi
Navier-Stokes equations and Potetioal theory, Soeul, Korea 2006年3月
Weak solution to some fluid dynamics equations
T. Kobayashi
Pusan-Kyushu Symposium on Partial Differential Equations, Pusan, Korea 2006年1月
Weak Solutions to the Navier-Stokes-Poisson Equations
T. Kobayashi
Kyoto Conference on the Navier-Stokes Equations and Their Applications, Kyoto, Japan 2006年1月
半空間における圧縮性 Navier-Stokes 方程式の解の漸近挙動について
小林孝行
日本数学会秋季総合分科会 函数方程式論分科会 特別講演,岡山大学 2005年9月
Weak solutions to the Navier-Stokes-Poisson equation
T. Kobayashi
The Fifth East Asia PDE Conference, Osaka, Japan 2005年2月
Interface Vanishing for Solutions to Maxwell and Stokes Systems
T. Kobayashi
Tenth International Conference on Hyperbolic Problems, Osaka, Japan 2004年9月
Diffusion waves for the Navier-Stokes equations of compressible flow in the half space
T. Kobayashi
The Fourth World Congerss of Nonlinear Analysts, Orand, Florida, USA 2004年7月
Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space
T. Kobayashi
Regularity and other qualitative aspects of the Navier-Stokes equations, Bedlewo, Poland 2003年8月
Interface regularity for Maxwell and Stokes Systems
T. Kobayashi
Workshop on Nonlinear Problems in Gauge Theory and Fluid Dynamics, Seoul, Korea 2002年12月
Asymptotic behavior of solutions to the compressible Navier-Stokes equation
T. Kobayashi
International Conference on Partial Differential Equation, Seoul, Korea 2001年12月
Large time behavior of solutions for the compressible Navier-Stokes equations
T. Kobayashi
International Conference on Frontier of Applied Analysis- Fluid Dynamics and Pattern Formation, Fukuoka, Japan. 2001年12月
Some estimates of solutions for the motion of compressible viscous fluid in a 3D exterior domain
T. Kobayashi
The Third World Congeress of Nonlinear Analysts, Catania, Sicily, Italy 2000年7月
On a decay rate of solutions to compressible Navier-Stokes equations
T. Kobayashi
Symposium on Nonlinear Partial Differential Equations, Vienna, Austria 2000年3月6日
3次元外部領域における圧縮性Navier-Stokes方程式の解の漸近挙動について
小林孝行
日本数学会秋季総合分科会 実函数論分科会 特別講演, 広島大学 1999年9月
Some estimates of solutions for the equations of motion of compressible viscous fluid in 3D exterior problem
T. Kobayashi
The seventh International Conference on Navier-Stokes and Related Nonlinear Problems, Ferrara, Italy 1999年9月
Some estimates of solutions for the equations of motion of compressible viscous fluid in 3D exterior domain
T. Kobayashi
International Conference on Differential Equations and Related Topics, Pusan, Korea 1999年6月
Some estimates of solutions for the equations of motion of compressible viscous fluid in 3d exterior
T. Kobayashi
Fluid Dynamics: Existence, Regularity and Singularity, Warsow, Poland 1999年3月
Decay estimates for the compressible Navier-Stokes equations in 3D-exterior domains
T. Kobayashi
First International Conference on Semigroups of Operators, Theorey and Applications,California, USA. 1998年12月
Decay estimates for the compressible Navier-Stokes equations in 3D-exterior domains
T. Kobayashi
Fifth International Conference on Evolution Equations and Their Applications to Technology, Hiroshima, Japan 1996年10月