Boundary layer solution to system of viscous conservation laws in half line 査読

Tohru Nakamura, Shinya Nishibata

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY   47 ( 2 )   619 - 630   2016年6月

The mathematical justification of the Bohm criterion in plasma physics 査読

Shinya Nishibata, Masashi Ohnawa, Masahiro Suzuki

NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS   64   489 - 495   2015年

NONLINEAR STABILITY OF BOUNDARY LAYER. SOLUTIONS TO THE EULER-POISSON EQUATIONS IN PLASMA PHYSICS 査読

Shinya Nishibata, Masashi Ohnawa, Masahiro Suzuki

HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS   8   817 - 822   2014年

ENERGY ESTIMATE FOR A LINEAR SYMMETRIC HYPERBOLIC-PARABOLIC SYSTEM IN HALF LINE 査読

Tohru Nakamura, Shinya Nishibata

KINETIC AND RELATED MODELS   6 ( 4 )   883 - 892   2013年12月

ASYMPTOTIC STABILITY OF BOUNDARY LAYERS TO THE EULER-POISSON EQUATIONS ARISING IN PLASMA PHYSICS 査読

Shinya Nishibata, Masashi Ohnawa, Masahiro Suzuki

SIAM JOURNAL ON MATHEMATICAL ANALYSIS   44 ( 2 )   761 - 790   2012年

STATIONARY WAVE ASSOCIATED WITH AN INFLOW PROBLEM IN THE HALF LINE FOR VISCOUS HEAT-CONDUCTIVE GAS 査読

Tohru Nakamura, Shinya Nishibata

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS   8 ( 4 )   651 - 670   2011年12月

Existence and stability of boundary layers to the Euler-Poisson equation arisin in plasma physics 査読

Shinya Nishibata, Masashi Ohnawa, Masahiro Suzuki

数理解析研究所講究録   1730   147 - 154   2011年

Hierarchy of semiconductor equations: relaxation limits with initial layers for large initial data 査読

Shinya Nishibata, Masahiro Suzuki

MSJ Memoir   26   1 - 113   2011年

STATIONARY WAVES TO VISCOUS HEAT-CONDUCTIVE GASES IN HALF-SPACE: EXISTENCE, STABILITY AND CONVERGENCE RATE 査読

Shuichi Kawashima, Tohru Nakamura, Shinya Nishibata, Peicheng Zhu

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES   20 ( 12 )   2201 - 2235   2010年12月

Relaxation limit and initial layer to hydrodynamic models for semiconductors 査読

Shinya Nishibata, Masahiro Suzuki

JOURNAL OF DIFFERENTIAL EQUATIONS   249 ( 6 )   1385 - 1409   2010年9月

ASYMPTOTIC BEHAVIORS AND CLASSICAL LIMITS OF SOLUTIONS TO A QUANTUM DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS 査読

Shinya Nishibata, Naotaka Shigetay, Masahiro Suzuki

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES   20 ( 6 )   909 - 936   2010年6月

Stationary waves for viscous heat-conductive fluid in half space 査読

Shuichi Kawashima, Tohru Nakamura, Shinya Nishibata, Peicheng Zhu

数理解析研究所講究録   1690   71 - 83   2010年

Asymptotic Stability of a Stationary Solution to a Thermal Hydrodynamic Model for Semiconductors 査読

Shinya Nishibata, Masahiro Suzuki

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS   192 ( 2 )   187 - 215   2009年5月

Half space problem for the compressible Navier-Stokes equation 査読

Tohru Nakamura, Shinya Nishibata

HYPERBOLIC PROBLEMS: THEORY, NUMERICS AND APPLICATIONS, PART 2   67 ( 2 )   805 - 814   2009年

CONVERGENCE RATE TOWARD PLANAR STATIONARY WAVES FOR COMPRESSIBLE VISCOUS FLUID IN MULTIDIMENSIONAL HALF SPACE 査読

Tohru Nakamura, Shinya Nishibata

SIAM JOURNAL ON MATHEMATICAL ANALYSIS   41 ( 5 )   1757 - 1791   2009年

Stationary solutions of a hydrodynamic model for semiconductors 査読

Shinya Nishibata, Masahiro Suzuki

RIMS K$\hat{\mbox{o } }$ky$\hat{\mbox{u } }$roku Bessatsu   B15   179 - 187   2009年

A review of semiconductor models: Global solvability and hierarchy 査読

Shinya Nishibata, Masahiro Suzuki

HYPERBOLIC PROBLEMS: THEORY, NUMERICS AND APPLICATIONS, PART 1   67 ( 1 )   315 - +   2009年

Relaxation limit and initial layer to heat-conductive hydrodynamic models for semiconductor 査読

Shinya Nishibata, Masahiro Suzuki

数理解析研究所講究録   1631   121 - 131   2009年

Convergence rate toward planar stationary solution for the compressible Navier-Stokes equation in half space 査読

Tohro Nakanura, Shinya Nishibata

数理解析研究所講究録   1645   80 - 89   2009年

Initial boundary value problems for a quantum hydrodynamic model of semiconductors: Asymptotic behaviors and classical limits 査読

Shinya Nishibata, Masahiro Suzuki

JOURNAL OF DIFFERENTIAL EQUATIONS   244 ( 4 )   836 - 874   2008年2月

Large-time behavior of spherically symmetric flow of heat-conductive gas in a field of potential forces 査読

Tohru Nakamura, Shinya Nishibata

INDIANA UNIVERSITY MATHEMATICS JOURNAL   57 ( 2 )   1019 - 1054   2008年

Convergence rate of solutions toward stationary solutions to the compressible Navier-Stokes equation in a half line 査読

Tohru Nakamura, Shinya Nishibata, Takeshi Yuge

JOURNAL OF DIFFERENTIAL EQUATIONS   241 ( 1 )   94 - 111   2007年10月

Asymptotic stability of a stationary solution to a hydrodynamic model of semiconductors 査読

Shinya Nishibata, Masahiro Suzuki

OSAKA JOURNAL OF MATHEMATICS   44 ( 3 )   639 - 665   2007年9月

Convergence rates toward the travelling waves for a model system of the radiating gas 査読

Masataka Nishikawa, Shinya Nishibata

MATHEMATICAL METHODS IN THE APPLIED SCIENCES   30 ( 6 )   649 - 663   2007年4月

Asymptotic behavior and classical limit of the solutions to quantum hydrodynamicmodel for semiconductors 査読

Shinya Nishibata, Masahiro Suzuki

数理解析研究所講究録   1536   37 - 45   2007年

Large--time behavior of solutions for the compressible viscous fluid in a half space 査読

Tohru Nakamura, Shinya Nishibata, Takeshi Yuge

数理解析研究所講究録   1536   122 - 131   2007年

Asymptotic behavior of spherically symmetric flow for viscous heat-conductive gas

Proceedings of the fourth International Conference on Nonlinear Analysis and Convex Analysis, Yokohama Publishers   2007年

Asymptotic behavior of spherically symmetric flow for heat-conductive fluid in a field of external forces

Hyperbolic Problems: Theory, Numerics and Applications -II-, Yokohama Publishers   2006年

A stationary solution for a fluid dynamical model of semiconductor 査読

Shinya Nishibata, Masahiro Suzuki

数理解析研究所講究録   1495   71 - 77   2006年

Large--time behavior of spherically symmetric flow for viscous heat--conductive gas 査読

Tohru Nakamura, Nishibata Shinya

数理解析研究所講究録   1425   150 - 159   2005年

Large-time behavior of spherically symmetric solutions to an isentropic model of compressible viscous fluid in a field of potential forces 査読

T Nakamura, S Nishibata, S Yanagi

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES   14 ( 12 )   1849 - 1879   2004年12月

L-p energy method for multi-dimensional viscous conservation laws and application to the stability of planar waves 査読

S Kawashima, S Nishibata, M Nishikawa

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS   1 ( 3 )   581 - 603   2004年9月

Asymptotic behavior of spherically symmetric solutions to the compressible Navier-Stokes equations with external forces 査読

Tohru Nakamura, Nishibata Shinya

数理解析研究所講究録   1353   102 - 112   2004年

Large-time behavior of solutions to hyperbolic-elliptic coupled systems 査読

S Kawashima, Y Nikkuni, S Nishibata

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS   170 ( 4 )   297 - 329   2003年12月

Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space 査読

S Kawashima, S Nishibata, PC Zhu

COMMUNICATIONS IN MATHEMATICAL PHYSICS   240 ( 3 )   483 - 500   2003年9月

Asymptotic behavior of spherically symmetric solutions to the compressible Navier--Stokes equation with external forces 招待

Nishibata Shinya

Hokkaido Univ. Tech. Report Series in Math.   77   25 - 32   2003年

ASYMPTOTIC STABILITY OF STATIONARY WAVES FOR TWO-DIMENSIONAL VISCOUS CONSERVATION LAWS IN HALF PLANE 査読

Shuichi Kawashima, Shinya Nishibata, Masataka Nishikawa

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS   Supplement Vol. ( No. )   469 - 476   2003年

ASYMPTOTIC STABILITY OF TRAVELING WAVES TO A CERTAIN DISCRETE VELOCITY MODEL OF THE BOLTZMANN EQUATION IN THE HALF SPACE 査読

Shinya Nishibata

SIAM JOURNAL ON MATHEMATICAL ANALYSIS   34 ( 3 )   555 - 572   2002年

A singular limit for hyperbolic-elliptic coupled systems in radiation hydrodynamics 査読

Shuichi Kawashima, Shinya Nishibata

Indiana Univ. Math. J.   50 ( 1 )   567 - 589   2001年

Large time behavior of solutions to the Cauchy problem for one-dimensional thermoelastic system with dissipation 査読

K Nishihara, S Nishibata

JOURNAL OF INEQUALITIES AND APPLICATIONS   6 ( 2 )   167 - 189   2001年

Stationary waves for the discrete Boltzmann equations in the half space 査読

S Kawashima, S Nishibata

HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOLS I AND II   140   593 - 602   2001年

Asymptotic behavior of solutions to a model system of radiating gas with discontinuous initial data 査読

S Nishibata

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES   10 ( 8 )   1209 - 1231   2000年11月

Stationary waves for the discrete Boltzmann equation in the half space with reflective boundaries 査読

S Kawashima, S Nishibata

COMMUNICATIONS IN MATHEMATICAL PHYSICS   211 ( 1 )   183 - 206   2000年4月

Stationary waves for the discrete Boltzmann equations in the half space with reflection boundary conditions 査読

Nishibata Shinya

数理解析研究所講究録   1146   143 - 153   2000年

Existence of a stationary wave for the discrete Boltzmann equation in the half space 査読

S Kawashima, S Nishibata

COMMUNICATIONS IN MATHEMATICAL PHYSICS   207 ( 2 )   385 - 409   1999年11月

Cauchy problem for a model system of the radiating gas: Weak solutions with a jump and classical solutions 査読

S Kawashima, S Nishibata

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES   9 ( 1 )   69 - 91   1999年2月

Shock waves for a model system of the radiating gas 査読

Shuichi Kawashima, Shinya Nishibata

SIAM Journal on Mathematical Analysis   30 ( 1 )   95 - 117   1998年

Weak solutions with a shock for a model system of the radiating gas 招待 査読

Shuichi Kawashima, Nishibata Shinya

Science Bulletin of Josai University   5   119 - 130   1998年

The asymptotic behavior of the hyperbolic conservation laws with relaxation on the quarter-plane 査読

S Nishibata, SH Wu

SIAM JOURNAL ON MATHEMATICAL ANALYSIS   28 ( 2 )   304 - 321   1997年3月

The initial value problem for hyperbolic-elliptic coupled systems and applications to radiation hydrodynamics 査読

Shuichi Kawashima, Yoshiko Nikkuni, Shinya Nishibata

Analysis of systems of conservation laws, Chapman & Hall/CRC Monogr. Surv. Pure Appl. Math.   99 ( No. )   87 - 127   1997年

The initial boundary value problems for hyperbolic conservation laws with relaxation 査読

S Nishibata

JOURNAL OF DIFFERENTIAL EQUATIONS   130 ( 1 )   100 - 126   1996年9月

HYPERBOLIC CONSERVATION-LAWS WITH STIFF RELAXATION TERMS AND ENTROPY 査読

GQ CHEN, CD LEVERMORE, TP LIU

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS   47 ( 6 )   787 - 830   1994年6月

量子効果を考慮した半導体の流体力学モデルII：古典極限

日本数学会  2006年 

Asymptotic behavior of solutions to the quantum hydrodynamic model for semiconductors 招待 国際会議

General Relativity & Shock Wave Theory, A conference in honor of Joel Smoller on his 70th Birthday  2006年 

Heat-conductive hydrodynamic model for semiconductors: asymptotic behavior and relaxation limit 招待 国際会議

The 2nd international conference on conservation laws and kinetic equations  2007年 

２次元半空間における圧縮性Navier--Stokes方程式の解の定常解への漸近レート

日本数学会  2006年 

Asymptotic stability of the stationary solution to the quantum hydrodynamic model for semiconductors 招待 国際会議

International Conference on Nonlinear Evolutionary Partial Differential Equations  2006年 

Model hierarchy of equations for semiconductors

Mathematical Analysis on the Self-organization and Self-similarity  2008年 

Mathematical analysis on model hierarchy of equations for semiconductors 招待 国際会議

Mathematical modeling and simulation of advanced semiconductor device  2008年 

半導体のenergy transport model の緩和極限

日本数学会  2008年 

半導体の熱伝導流体力学モデルの時間大域解の挙動

日本数学会  2007年 

Asymptotic stability of a stationary solution to a heat-conductive hydrodynamic model for semiconductors 招待 国際会議

The 24th Kyushu Symposium of Partial Differential Equations  2007年 

Convergence rate of solutions toward stationary solutions to the compressible Navier-Stokes equation in multi-dimensional half space 招待 国際会議

FRG Conference  2007年 

半導体の heat-conductive hydorodynamic model の緩和極限

日本数学会  2008年 

Relaxation limits and asymptotic behaviors of solutions to the hydrodynamic model for semiconductors 国際会議

12th Int. Conf. on Hyperbolic Problems,  2008年 

半直線上の熱伝導圧縮性粘性流体の定常解について

日本数学会  2008年 

半導体中の電子流を記述する quantum drift-diffusion モデルの定常解について

日本数学会  2008年 

Asymptotic stability of a rarefaction wave for a symmetric system of hyperbolic-parabolic coupled equations 招待 国際会議

Kinetic and related equations: collisions, mean field, and organized motion  2018年7月 

Asymptotic stability of a stationary solution to the Euler-Poisson equation in 招待 国際会議

Kinetic Theory and Related Fields: Theoretical and Numerical Approaches  2012年9月 

Stationary solution to symmetric hyperbolic-parabolic system in half space 招待 国際会議

Evolutionary PDE and Kinetic Theory at Academia Sinica  2012年11月 

Stationary waves to symmetric hyperbolic-parabolic systems in half space 招待 国際会議

The 9th Japanese-German International Workshop on Mathematical Fluid Dynamics  2013年11月 

Asymptotic stability of stationary solutions to the Euler-Poisson equation arising in plasma physics 招待 国際会議

IMS Workshop on Nonlinear PDEs from Fluids and related Topics  2014年3月 

Boundary layer solution to the hyperbolic-parabolic system 招待 国際会議

International Conference on the Mathematical Fluid Dynamics - on the occasion of Professor Yoshihiro Shibata's 60th birthday -  2013年3月 

Boundary layer to symmetric hyperbolic parabolic systems 招待 国際会議

International Workshop on Nonlinear Analysis: Fluid Dynamics and Kinetic Theory  2013年10月 

Asymptotic stability of stationary solutions to hyperbolic-parabolic systems in half space and the convergence rate 招待 国際会議

the Summer Workshop on Kinetic Theory and Gas Dynamics  2014年7月 

Asymptotic stability of stationary solutions to the Euler-Poisson equation in plasma physics 招待 国際会議

Wayamba International Conference 2014, Wayamba University of Sri Lanka  2014年8月 

Asymptotic stability of stationary solutions to symmetric hyperbolic-parabolic systems in half space and the convergence rate 招待 国際会議

2014 International Conference on Nonlinear Evolutionary Partial Diｆferential Equations  2014年6月 

Stationary Solutions to Symmetric Hyperbolic-parabolic Systems in Half Space 招待 国際会議

10th AIMS International Conference on Dynamical Systems, Differential Equations and Applications  2014年7月 

Stationary waves to symmetric hyperbolic-parabolic systems in half line 招待 国際会議

Workshop on Hyperbolic Conservation Laws and Related Topics  2015年6月 

Stationary waves to hyperbolic-parabolic systems in half line 招待 国際会議

UNIST Workshop on Nonlinear Partial Differential Equations  2015年7月 

Stability of stationary solutions to hyperbolic-parabolic systems in half space 招待

スペクトル・散乱理論とその周辺  2014年10月 

The asymptotic stability of a rarefaction wave for symmetric hyperbolic-parabolic systems 招待

広島微分方程式研究会  2017年10月 

Asymptotic stability of a rarefaction wave for symmetric hyperbolic-parabolic systems 招待 国際会議

Workshop on Hyperbolic and Parabolic Systems  2017年12月 

Stationary waves to symmetric hyperbolic-parabolic systems in half line 招待 国際会議

International Conference on Nonlinear Analysis  2015年10月 

Outflow/inflow problems to symmetric hyperbolic-parabolic systems 招待

Workshop on the Boltzmann Equations, Microlocal Analysis and Related Topics  2016年5月 

Asymptotic stability of a rarefaction wave for a symmetric hyperbolic-parabolic system arising in compressible fluid dynamics 招待 国際会議

Workshop on Compressible Navier-Stokes Systems and Related Problems (I)  2018年3月 

Asymptotic analysis on a rarefaction wave for a symmetric hyperbolic-parabolic and its application to fluid dynamics 招待

HKUST & Tokyo Tech. Workshop on Computation and Data Science  2018年1月 

Asymptotic stability of a rarefaction wave for a symmetric hyperbolic-parabolic system of conservation laws 招待 国際会議

Nonlinear PDEs in Continuum Mechanics and Related Topics Workshop  2018年1月 

Model hierarchy of semiconductor equations:relaxation and classical limits 招待 国際会議

International Conference on Applied Analysis and Scientific Computation  2009年6月 

Asymptotic stability of stationary solutions to heat-conductive viscous gas in half space 招待 国際会議

2009 NIMS Hot Topic Workshop on Kinetic Theory and Fluid Dynamics  2009年10月 

Stationary waves to the compressible Navier-Stokes equation in multi-dimensional half space 招待 国際会議

Parabolic and Navier-Stokes Equations in honour of Profesor Vsevolod Alekseevich Solonnikov  2008年9月 

半空間上での圧縮性ナビエストークス方程式の定常解について 招待

非線形波動現象の数理と応用  2008年10月 

Relaxation limit of time global solutions to a hydrodynamic model of semiconductors 招待

International Workshop dedicated to several aspects of Mathematical Fluid Dynamics  2008年9月 

Model hierarchy of equations for semiconductors 招待 国際会議

Mathematical Analysis on the Self-organization and Self-similarity  2008年9月 

Asymptotic behavior of solutions to compressible viscous fluid in half space 招待 国際会議

International Workshop on Kinetic Theory  2009年3月 

Hierarchy of semiconductor equations: relaxation and classical limits 招待 国際会議

2009年4月 

Asymptotic behavior of viscous gases in half space 招待 国際会議

The 3rd international conference on conservation  2008年12月 

半空間上での圧縮性粘性流体の漸近挙動について 招待

The 49th ENCOUNTER with MATHEMATICS  2009年2月 

Asymptotic stability of a stationary solution to the Euler-Poisson equation arising in plasma physics 招待 国際会議

Kinetic Theory and Gas Dynamics Summer Workshop  2012年7月 

熱伝導圧縮性粘性流体の半空間上の定常解について 招待

PDEs and Phenomena in Miyazaki 2009  2009年11月 

Stationary waves for the discrete Boltzmann equations in the half space

2001年 

Asymptotic behavior of solutions to the Euler-Poisson equation in plasma physics 招待 国際会議

Pacific Rim Conference  2010年6月 

Asymptotic behavior of solutions to the Euler-Poisson equations arising in plasma physics 招待 国際会議

第12回流体と気体の数学解析  2010年7月 

Asymptotic behavior of solutions to heat-conductive viscous gas in half space 招待 国際会議

7th East Asia Conference on Partial Differential Equations  2009年12月 

Asymptotic behavior of spherically symmetric solutions to the compressible Navier-Stokes equation with external forces

2003年 

Relaxation and classical limits of quantum hydrodynamic model for semiconductors 招待 国際会議

第27回九州における偏微分方程式研究集会  2010年1月 

量子効果を含む半導体の流体力学モデルに対する数学解析 招待

応用物理学会分科会シリコンテクノロジー  2006年 

Asymptotic Stability of Stationary Solutions to the Euler-Poisson Equations in Plasma 招待 国際会議

International conference on nonlinear evolutionary partial differential equations  2012年1月 

Physics 招待 国際会議

Mathematical approach to emerging topics in materials science 2012  2012年2月 

プラズマ物理に現れるEuler-Poisson方程式の解の漸近挙動 招待

洞爺解析セミナー  2010年9月 

Asymptotic stability of boundary layers to the Euler-Poisson equation arising inplasma physics 招待 国際会議

8th East-Asia PDE conference, Pohang University of Science and Technology, Pohang  2011年12月