Research Experience

1980
School of Political Science and Economics, Waseda University

19751980
Tokyo National Institute of Technology
Details of a Researcher
Updated on 2024/08/07
School of Political Science and Economics, Waseda University
Tokyo National Institute of Technology
Waseda University Graduate School, Division of Science and Engineering
Waseda University Faculty of Science and Engineering
The Mathematical Society of Japan
Decay property of solutions for damped wave equations with spacetime dependent damping term
Jiayun Lin, Kenji Nishihara, Jian Zhai
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 374 ( 2 ) 602  614 2011.02
Asymptotic profile of solutions for 1D wave equation with timedependent damping and absorbing semilinear term
Kenji Nishihara
ASYMPTOTIC ANALYSIS 71 ( 4 ) 185  205 2011
L2estimates of solutions for damped wave equations with spacetime dependent damping term
Jiayun Lin, Kenji Nishihara, Jian Zhai
JOURNAL OF DIFFERENTIAL EQUATIONS 248 ( 2 ) 403  422 2010.01
Decay Properties for the Damped Wave Equation with Space Dependent Potential and Absorbed Semilinear Term
Kenji Nishihara
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 35 ( 8 ) 1402  1418 2010
Asymptotic behaviors of solutions for time dependent damped wave equations
Kenji Nishihara, Jian Zhai
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 360 ( 2 ) 412  421 2009.12
Asymptotic behavior of solutions for the damped wave equation with slowly decaying data
Takashi Narazaki, Kenji Nishihara
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 338 ( 2 ) 803  819 2008.02
Global asymptotics of solutions to the Cauchy problem for the damped wave equation with absorption
R Ikehata, K Nishihara, HJ Zhao
JOURNAL OF DIFFERENTIAL EQUATIONS 226 ( 1 ) 1  29 2006.07
Asymptotic profile of solutions to nonlinear dissipative evolution system with ellipticity
Kenji Nishihara
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 57 ( 4 ) 604  614 2006.07
Global asymptotics for the damped wave equation with absorption in higher dimensional space
Kenji Nishihara
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 58 ( 3 ) 805  836 2006.07
Existence and nonexistence of timeglobal solutions to damped wave equation on halfline
K Nishihara, HJ Zhao
NONLINEAR ANALYSISTHEORY METHODS & APPLICATIONS 61 ( 6 ) 931  960 2005.06
Local Energy Decay for Wave Equations with Initial Data Decaying Slowly Near Infinity
R. Ikehata, K. Nishihara
Math. Sci. Appl. 22 265  275 2005
Global stability of strong rarefaction waves of the JinXin relaxation model for the psystem
K Nishihara, HJ Zhao, YC Zhao
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 29 ( 910 ) 1607  1634 2004
Nonlinear stability of strong rarefaction waves for compressible NavierStokes equations
K Nishihara, T Yang, HJ Zhao
SIAM JOURNAL ON MATHEMATICAL ANALYSIS 35 ( 6 ) 1561  1597 2004
The LpLq estimates of solutions to onedimensional damped wave equations and their application to the compressible flow through porous media
P Marcati, K Nishihara
JOURNAL OF DIFFERENTIAL EQUATIONS 191 ( 2 ) 445  469 2003.07
LpLq estimates of solutions to the damped wave equation in 3dimensional space and their application
K Nishihara
MATHEMATISCHE ZEITSCHRIFT 244 ( 3 ) 631  649 2003.07
Asymptotics toward the diffusion wave for a onedimensional compressible flow through porous media
西原健二
Proc. Roy. Soc. Edinburgh 133A 177  196 2003
Diffusion phenomenon for second order linear evolution equations
R Ikehata, K Nishihara
STUDIA MATHEMATICA 158 ( 2 ) 153  161 2003
$L^p$$L^q$ estimates for 3D damped wave equation and their application to the semilinear problem
西原健二
Seminar Notes of Mathematical Science, Ibaraki Univ. 6 69  83 2003
Convergence rates to viscous shock profile for general scalar viscous conservation laws with large initial disturbance
K Nishihara, HJ Zhao
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 54 ( 2 ) 447  466 2002.04
Asymptotic behavior of a onedimensional compressible viscous gas with free boundary
西原健二
SIAM J. Math. Anal. 34 ( 2 ) 273  292 2002
Largetime behaviors of solutions to an inflow problem in the half space for a onedimensional system of compressible viscous gas
A Matsumura, K Nishihara
COMMUNICATIONS IN MATHEMATICAL PHYSICS 222 ( 3 ) 449  474 2001.09
Asymptotic behavior of solutions to the system of compressible adiabatic flow through porous media
K Nishihara, M Nishikawa
SIAM JOURNAL ON MATHEMATICAL ANALYSIS 33 ( 1 ) 216  239 2001.06
Boundary effect on a stationary viscous shock wave for scalar viscous conservation laws
K Nishihara
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 255 ( 2 ) 535  550 2001.03
Large time behavior of solutions to the Cauchy problem for onedimensional thermoelastic system with dissipation
K Nishihara, S Nishibata
JOURNAL OF INEQUALITIES AND APPLICATIONS 6 ( 2 ) 167  189 2001
Asymptotic behaviors of solutions to viscous conservation laws via L^2energy method
西原健二
Adv. Math. 30 ( 4 ) 293  321 2001
Global asymptotics toward the rarefaction wave for solutions of viscous psystem with boundary effect
A Matsumura, K Nishihara
QUARTERLY OF APPLIED MATHEMATICS 58 ( 1 ) 69  83 2000.03
Lpconvergence rate to nonlinear diffusion waves for psystem with damping
K Nishihara, WK Wang, T Yang
JOURNAL OF DIFFERENTIAL EQUATIONS 161 ( 1 ) 191  218 2000.02
Asymptotic stability of the rarefaction wave of a onedimensional model system for compressible viscous gas with boundary
T Pan, HX Liu, K Nishihara
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 16 ( 3 ) 431  441 1999.10
Porous media中の一次元圧縮性流の漸近挙動について
日本数学会秋季総合分科会、広島大学 1999.09
Nonlinear waves with boundary effect
Summer Workshop on Conservation Laws, Stanford Univ., USA 1999.08
Boundary effect on asymptotic behaviour of solutions to the psystem with linear damping
K Nishihara, T Yang
JOURNAL OF DIFFERENTIAL EQUATIONS 156 ( 2 ) 439  458 1999.08
Asymptotic behaviors of solutions to viscous conservation laws via L^{2}energy method
1999年全国数学研究生暑期学校、復旦大学、上海 1999.07
Boundary effect on stationary viscous shock wave for scalar viscous conservation laws
K.Nishihara
International Conference on Applied Partial Differential Equations, Tongji Univ., 上海 1999.07
Asymptotics toward the planar rarefaction wave for viscous conservation law in two space dimensions
M. Nishikawa, K. Nishihara
Trans. Amer. Math. Soc./American Mathematical Society 352 ( 3 ) 1203  1215 1999
Asymptotic behavior of solutions to the psystem with linear damping
Proc. of 23rd Sapporo Symposium on Partial Differential Equations 1998.07
Behaviors of solutions for the Burgers equation with boundary corresponding to rarefaction waves
SIAM J. Math. Anal. 29;2 1998.03
Asymptotic behaviors of solutions for viscous conservation laws with boundary effect—System case—1998.3
Special Program on Partial Differential Equations in Liu Bue Centre, City Univ. of Hong Kong 1998.03
Asymptotic behaviors of solutions for viscous conservation laws with boundary effect—Scalar case—1998.3
Special Program on Partial Differential Equations in Liu Bue Centre, City Univ. of Hong Kong 1998.03
Global asymptotics toward the rarefaction wave for solutions of viscous psystem on the quarter plane
Workshop“Qualitative Properties for Nonlinear Hyperbolic Operators. Degeneracies, Nonlocal Terms and Global Solvability”(於: Seiffen, Germany) 1998.03
Asymptotic Behaviour of Solutions to the Kortewegde VriesBurgers Equation
Differential and Integral Equations/KHAYYAM Publishing 11;1 1998.01
半直線上のViscous p</>systemの解の希薄波への漸近、1997年10月(with 松村昭孝)
日本数学会秋季総合分科会(東京大学) 1997.10
Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping
J. Differential Equations /Academic Press 137;2 1997.07
Nonlinear stability of traveling waves for onedimensional viscoelastic materials with nonconvex nonlinearity
Tokyo J. Math. 20;1 1997.06
Linear dampingを持つ準線形双曲型方程式の解の漸近挙動
第4回応用解析研究会(於 熱海) 1997.02
Asymptotic behavior for scalar viscous conservation laws with boundary effect
J.Differential Equations/Academic Press 133;2 1997.01
Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
J.Differential Equations/Academic Press 131;2 1996.11
Dampingを持つ双曲型保存系の解のDiffusion Waveへの漸近の速さについて
日本数学会秋季総合分科会(於 都立大学) 1996.09
Asymptotic behavior of solutions for scalar viscous conservation laws with boundary
6th International Conference on Hyperbolic Problem Theory.Numerics.Applications(於 City Univ of Hong Kong) 1996.06
Asymptotics toward the planar rarefaction wave for viscous conservation laws in two space dimensions
日本数学会年会(於 新潟大学) 1996.04
Behaviors of solutions of the Burgers equation with boundary corresponding to the rarefaction wave
日本数学会年会(於 新潟大学) 1996.04
Behaviors of solutions of the Burgers equation with boundary corresponding to the viscous shock wave
日本数学会年会(於 新潟大学) 1996.04
Asymptotic behavior of solutions for the Burgers equation with boundary conditions
非線型偏微分方程式研究会(於中央大学) 1996.01
境界条件付きの単独双曲型保存則の方程式の解の挙動
微分方程式研究会(於早稲田大学) 1995.12
Stability of Traveling Waves with Degenerate Shock for System of OneDimensional Viscoelastic Model
J. Differential Equations/Academic Press 120;2 1995.10
On a Nonlinear Degenerate IntegroDifferential Equation of Hyperbolic Type with a Strong Dissipation
Adv. Math. Sci. Appl./Gakkotosho 5 1995
非線形微分方程式の大域解圧縮性粘性流の数学解析
松村昭孝, 西原健二
日本評論社 2004.07 ISBN: 4535783861
Synthetic study of nonlinear evolution equation and its related topics
Japan Society for the Promotion of Science GrantsinAid for Scientific Research
Project Year :
OTANI Mitsuharu, YAMADA Yoshio, TANAKA Kazunaga, NISHIHARA Kenji, ISHII Hitoshi, OZAWA Tohru, OGAWA Takayoshi, KENMOCHI Nobuyuki, KOIKE Shigeaki, SAKAGUCHI Shigeru, SUZUKI Takashi, HAYASHI Nakao, IDOGAWA Tomoyuki, ISHIWATA Michinori, AKAGI Gorou
Diffusion phenomenon of solutions for the damped wave equation
Japan Society for the Promotion of Science GrantsinAid for Scientific Research
Project Year :
NISHIHARA Kenji
Time global structure of solutions of nonlinear conservation law with viscosity and relaxation
Japan Society for the Promotion of Science GrantsinAid for Scientific Research
Project Year :
MATSUMURA Akitaka, CHAWANYA Takeshi, ODANAKA Shinji, NISHIHARA Kenji, NISHIBATA Shinya, YANAGISAWA Taku, KOMATSU Gen, TSUGE Naoki, IOHARA Takao
Stability of nonlinear waves in viscous conservation system together with diffusion phenomena of solutions of damped wave equation
Japan Society for the Promotion of Science GrantsinAid for Scientific Research
Project Year :
NISHIHARA Kenji, MATSUMURA Akitaka
Research on global solutions in time and their asymptotic behaviors for viscous and relaxation models of conservation laws
Japan Society for the Promotion of Science GrantsinAid for Scientific Research
Project Year :
MATSUMURA Akitaka, HAYASHI Nakao, KOTANI Shin'ichi, ODANAKA Shinji, NISHIHARA Kenji, NISHIBATA Shinya
Large time behavior of solutions to equations for viscous gas over multidimensional half space
Japan Society for the Promotion of Science GrantsinAid for Scientific Research
Project Year :
NISHIBATA Shinya, NISHIHARA Kenji, IGUCHI Tatsuo
Stability of nonlinear waves for hyperbolic conservation laws will viscosity
Japan Society for the Promotion of Science GrantsinAid for Scientific Research
Project Year :
NISHIHARA Kenji, MATSUMURA Akitaka
Asymptotic Behavior of solutions to viscous hyperbolic conservation laws
Japan Society for the Promotion of Science GrantsinAid for Scientific Research
Project Year :
NISHIHARA Kenji, MATSUMARA Akitaka
Integrated Study for Nonlinear Evolution Equations and Nonlinear Elliptic Equations
双曲型性と放物型性との間に横たわる階層構造の解明
科学研究費助成事業(早稲田大学) 科学研究費助成事業(挑戦的萌芽研究)
消散型波動方程式の解の拡散現象と波動現象
科学研究費助成事業(早稲田大学) 科学研究費助成事業(基盤研究(C))
非線形放物型方程式系と関連する楕円型方程式系の研究
科学研究費助成事業(早稲田大学) 科学研究費助成事業(基盤研究(C))
非線形楕円型方程式とその周辺に関する研究
科学研究費助成事業(早稲田大学) 科学研究費助成事業(基盤研究(C))
Study of nonlinear prabolic systems and related elliptic systems
Study on Nonlinear Evolution Equations and Nonlinear Elliptic Equations
2001