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

Tohru Nakamura, Shinya Nishibata

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY   47 ( 2 )   619 - 630   2016.6

The mathematical justification of the Bohm criterion in plasma physics Reviewed

Shinya Nishibata, Masashi Ohnawa, Masahiro Suzuki

NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS   64   489 - 495   2015

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

Shinya Nishibata, Masashi Ohnawa, Masahiro Suzuki

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

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

Tohru Nakamura, Shinya Nishibata

KINETIC AND RELATED MODELS   6 ( 4 )   883 - 892   2013.12

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

Shinya Nishibata, Masashi Ohnawa, Masahiro Suzuki

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

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

Tohru Nakamura, Shinya Nishibata

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS   8 ( 4 )   651 - 670   2011.12

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

Shinya Nishibata, Masashi Ohnawa, Masahiro Suzuki

RIMS K$\hat{\mbox{o } }$ky$\hat{\mbox{u } }$roku   1730   147 - 154   2011

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

Shinya Nishibata, Masahiro Suzuki

MSJ Memoir   26   1 - 113   2011

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

Shuichi Kawashima, Tohru Nakamura, Shinya Nishibata, Peicheng Zhu

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES   20 ( 12 )   2201 - 2235   2010.12

Relaxation limit and initial layer to hydrodynamic models for semiconductors Reviewed

Shinya Nishibata, Masahiro Suzuki

JOURNAL OF DIFFERENTIAL EQUATIONS   249 ( 6 )   1385 - 1409   2010.9

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

Shinya Nishibata, Naotaka Shigetay, Masahiro Suzuki

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES   20 ( 6 )   909 - 936   2010.6

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

Shuichi Kawashima, Tohru Nakamura, Shinya Nishibata, Peicheng Zhu

RIMS K$\hat{\mbox{o } }$ky$\hat{\mbox{u } }$roku   1690   71 - 83   2010

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

Shinya Nishibata, Masahiro Suzuki

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS   192 ( 2 )   187 - 215   2009.5

Half space problem for the compressible Navier-Stokes equation Reviewed

Tohru Nakamura, Shinya Nishibata

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

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

Tohru Nakamura, Shinya Nishibata

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

Stationary solutions of a hydrodynamic model for semiconductors Reviewed

Shinya Nishibata, Masahiro Suzuki

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

A review of semiconductor models: Global solvability and hierarchy Reviewed

Shinya Nishibata, Masahiro Suzuki

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

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

Shinya Nishibata, Masahiro Suzuki

RIMS K$\hat{\mbox{o } }$ky$\hat{\mbox{u } }$roku   1631   121 - 131   2009

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

Tohro Nakanura, Shinya Nishibata

RIMS K$\hat{\mbox{o } }$ky$\hat{\mbox{u } }$roku   1645   80 - 89   2009

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

Shinya Nishibata, Masahiro Suzuki

JOURNAL OF DIFFERENTIAL EQUATIONS   244 ( 4 )   836 - 874   2008.2

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

Tohru Nakamura, Shinya Nishibata

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

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

Tohru Nakamura, Shinya Nishibata, Takeshi Yuge

JOURNAL OF DIFFERENTIAL EQUATIONS   241 ( 1 )   94 - 111   2007.10

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

Shinya Nishibata, Masahiro Suzuki

OSAKA JOURNAL OF MATHEMATICS   44 ( 3 )   639 - 665   2007.9

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

Masataka Nishikawa, Shinya Nishibata

MATHEMATICAL METHODS IN THE APPLIED SCIENCES   30 ( 6 )   649 - 663   2007.4

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

Shinya Nishibata, Masahiro Suzuki

RIMS K$\hat{\mbox{o } }$ky$\hat{\mbox{u } }$roku   1536   37 - 45   2007

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

Tohru Nakamura, Shinya Nishibata, Takeshi Yuge

RIMS K$\hat{\mbox{o } }$ky$\hat{\mbox{u } }$roku   1536   122 - 131   2007

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

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

A stationary solution for a fluid dynamical model of semiconductor Reviewed

Shinya Nishibata, Masahiro Suzuki

RIMS K$\hat{\mbox{o } }$ky$\hat{\mbox{u } }$roku   1495   71 - 77   2006

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

Tohru Nakamura, Nishibata Shinya

RIMS K$\hat{\mbox{o } }$ky$\hat{\mbox{u } }$roku   1425   150 - 159   2005

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

T Nakamura, S Nishibata, S Yanagi

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES   14 ( 12 )   1849 - 1879   2004.12

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

S Kawashima, S Nishibata, M Nishikawa

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS   1 ( 3 )   581 - 603   2004.9

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

Tohru Nakamura, Nishibata Shinya

RIMS K$\hat{\mbox{o } }$ky$\hat{\mbox{u } }$roku   1353   102 - 112   2004

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

S Kawashima, Y Nikkuni, S Nishibata

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS   170 ( 4 )   297 - 329   2003.12

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

S Kawashima, S Nishibata, PC Zhu

COMMUNICATIONS IN MATHEMATICAL PHYSICS   240 ( 3 )   483 - 500   2003.9

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

Nishibata Shinya

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

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

Shuichi Kawashima, Shinya Nishibata, Masataka Nishikawa

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

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

Shinya Nishibata

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

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

Shuichi Kawashima, Shinya Nishibata

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

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

K Nishihara, S Nishibata

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

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

S Kawashima, S Nishibata

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

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

S Nishibata

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES   10 ( 8 )   1209 - 1231   2000.11

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

S Kawashima, S Nishibata

COMMUNICATIONS IN MATHEMATICAL PHYSICS   211 ( 1 )   183 - 206   2000.4

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

Nishibata Shinya

RIMS K$\hat{\mbox{o } }$ky$\hat{\mbox{u } }$roku   1146   143 - 153   2000

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

S Kawashima, S Nishibata

COMMUNICATIONS IN MATHEMATICAL PHYSICS   207 ( 2 )   385 - 409   1999.11

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

S Kawashima, S Nishibata

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES   9 ( 1 )   69 - 91   1999.2

Shock waves for a model system of the radiating gas Reviewed

Shuichi Kawashima, Shinya Nishibata

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

Weak solutions with a shock for a model system of the radiating gas Invited Reviewed

Shuichi Kawashima, Nishibata Shinya

Science Bulletin of Josai University   5   119 - 130   1998

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

S Nishibata, SH Wu

SIAM JOURNAL ON MATHEMATICAL ANALYSIS   28 ( 2 )   304 - 321   1997.3

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

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

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

S Nishibata

JOURNAL OF DIFFERENTIAL EQUATIONS   130 ( 1 )   100 - 126   1996.9

HYPERBOLIC CONSERVATION-LAWS WITH STIFF RELAXATION TERMS AND ENTROPY Reviewed

GQ CHEN, CD LEVERMORE, TP LIU

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS   47 ( 6 )   787 - 830   1994.6

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 

Asymptotic behavior of solutions to the quantum hydrodynamic model for semiconductors Invited International conference

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

Heat-conductive hydrodynamic model for semiconductors: asymptotic behavior and relaxation limit Invited International conference

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

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 

Asymptotic stability of the stationary solution to the quantum hydrodynamic model for semiconductors Invited International conference

International Conference on Nonlinear Evolutionary Partial Differential Equations  2006 

Model hierarchy of equations for semiconductors

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

Mathematical analysis on model hierarchy of equations for semiconductors Invited International conference

Mathematical modeling and simulation of advanced semiconductor device  2008 

半導体のenergy transport model の緩和極限

日本数学会  2008 

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 

Asymptotic stability of a stationary solution to a heat-conductive hydrodynamic model for semiconductors Invited International conference

The 24th Kyushu Symposium of Partial Differential Equations  2007 

Convergence rate of solutions toward stationary solutions to the compressible Navier-Stokes equation in multi-dimensional half space Invited International conference

FRG Conference  2007 

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

日本数学会  2008 

Relaxation limits and asymptotic behaviors of solutions to the hydrodynamic model for semiconductors International conference

12th Int. Conf. on Hyperbolic Problems,  2008 

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 

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 

Asymptotic stability of a rarefaction wave for a symmetric system of hyperbolic-parabolic coupled equations Invited International conference

Kinetic and related equations: collisions, mean field, and organized motion  2018.7 

Asymptotic stability of a stationary solution to the Euler-Poisson equation in Invited International conference

Kinetic Theory and Related Fields: Theoretical and Numerical Approaches  2012.9 

Stationary solution to symmetric hyperbolic-parabolic system in half space Invited International conference

Evolutionary PDE and Kinetic Theory at Academia Sinica  2012.11 

Stationary waves to symmetric hyperbolic-parabolic systems in half space Invited International conference

The 9th Japanese-German International Workshop on Mathematical Fluid Dynamics  2013.11 

Asymptotic stability of stationary solutions to the Euler-Poisson equation arising in plasma physics Invited International conference

IMS Workshop on Nonlinear PDEs from Fluids and related Topics  2014.3 

Boundary layer solution to the hyperbolic-parabolic system Invited International conference

International Conference on the Mathematical Fluid Dynamics - on the occasion of Professor Yoshihiro Shibata's 60th birthday -  2013.3 

Boundary layer to symmetric hyperbolic parabolic systems Invited International conference

International Workshop on Nonlinear Analysis: Fluid Dynamics and Kinetic Theory  2013.10 

Asymptotic stability of stationary solutions to hyperbolic-parabolic systems in half space and the convergence rate Invited International conference

the Summer Workshop on Kinetic Theory and Gas Dynamics  2014.7 

Asymptotic stability of stationary solutions to the Euler-Poisson equation in plasma physics Invited International conference

Wayamba International Conference 2014, Wayamba University of Sri Lanka  2014.8 

Asymptotic stability of stationary solutions to symmetric hyperbolic-parabolic systems in half space and the convergence rate Invited International conference

2014 International Conference on Nonlinear Evolutionary Partial Diｆferential Equations  2014.6 

Stationary Solutions to Symmetric Hyperbolic-parabolic Systems in Half Space Invited International conference

10th AIMS International Conference on Dynamical Systems, Differential Equations and Applications  2014.7 

Stationary waves to symmetric hyperbolic-parabolic systems in half line Invited International conference

Workshop on Hyperbolic Conservation Laws and Related Topics  2015.6 

Stationary waves to hyperbolic-parabolic systems in half line Invited International conference

UNIST Workshop on Nonlinear Partial Differential Equations  2015.7 

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

スペクトル・散乱理論とその周辺  2014.10 

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

広島微分方程式研究会  2017.10 

Asymptotic stability of a rarefaction wave for symmetric hyperbolic-parabolic systems Invited International conference

Workshop on Hyperbolic and Parabolic Systems  2017.12 

Stationary waves to symmetric hyperbolic-parabolic systems in half line Invited International conference

International Conference on Nonlinear Analysis  2015.10 

Outflow/inflow problems to symmetric hyperbolic-parabolic systems Invited

Workshop on the Boltzmann Equations, Microlocal Analysis and Related Topics  2016.5 

Asymptotic stability of a rarefaction wave for a symmetric hyperbolic-parabolic system arising in compressible fluid dynamics Invited International conference

Workshop on Compressible Navier-Stokes Systems and Related Problems (I)  2018.3 

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

HKUST & Tokyo Tech. Workshop on Computation and Data Science  2018.1 

Asymptotic stability of a rarefaction wave for a symmetric hyperbolic-parabolic system of conservation laws Invited International conference

Nonlinear PDEs in Continuum Mechanics and Related Topics Workshop  2018.1 

Model hierarchy of semiconductor equations:relaxation and classical limits Invited International conference

International Conference on Applied Analysis and Scientific Computation  2009.6 

Asymptotic stability of stationary solutions to heat-conductive viscous gas in half space Invited International conference

2009 NIMS Hot Topic Workshop on Kinetic Theory and Fluid Dynamics  2009.10 

Stationary waves to the compressible Navier-Stokes equation in multi-dimensional half space Invited International conference

Parabolic and Navier-Stokes Equations in honour of Profesor Vsevolod Alekseevich Solonnikov  2008.9 

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 Invited

2008.10 

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

Mathematical Analysis on the Self-organization and Self-similarity  2008.9 

Model hierarchy of equations for semiconductors Invited International conference

Mathematical Analysis on the Self-organization and Self-similarity  2008.9 

Asymptotic behavior of solutions to compressible viscous fluid in half space Invited International conference

International Workshop on Kinetic Theory  2009.3 

Hierarchy of semiconductor equations: relaxation and classical limits Invited International conference

2009.4 

Asymptotic behavior of viscous gases in half space Invited International conference

The 3rd international conference on conservation  2008.12 

半空間上での圧縮性粘性流体の漸近挙動について Invited

The 49th ENCOUNTER with MATHEMATICS  2009.2 

Asymptotic stability of a stationary solution to the Euler-Poisson equation arising in plasma physics Invited International conference

Kinetic Theory and Gas Dynamics Summer Workshop  2012.7 

熱伝導圧縮性粘性流体の半空間上の定常解について Invited

PDEs and Phenomena in Miyazaki 2009  2009.11 

Stationary waves for the discrete Boltzmann equations in the half space

2001 

Asymptotic behavior of solutions to the Euler-Poisson equation in plasma physics Invited International conference

Pacific Rim Conference  2010.6 

Asymptotic behavior of solutions to the Euler-Poisson equations arising in plasma physics Invited International conference

Mathematical Analysis in Fluid, Gas Dynamics

第12回流体と気体の数学解析  2010.7 

Asymptotic behavior of solutions to heat-conductive viscous gas in half space Invited International conference

7th East Asia Conference on Partial Differential Equations  2009.12 

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

2003 

Relaxation and classical limits of quantum hydrodynamic model for semiconductors Invited International conference

The 27th Kyushu Symposium on Partial Differential Equations  2010.1 

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 Invited

応用物理学会分科会シリコンテクノロジー  2006 

Asymptotic Stability of Stationary Solutions to the Euler-Poisson Equations in Plasma Invited International conference

International conference on nonlinear evolutionary partial differential equations  2012.1 

Asymptotic stability of boundary layers to the Euler-Poisson equation in plasma physics Invited International conference

Mathematical approach to emerging topics in materials science 2012  2012.2 

プラズマ物理に現れるEuler-Poisson方程式の解の漸近挙動 Invited

洞爺解析セミナー  2010.9 

Asymptotic stability of boundary layers to the Euler-Poisson equation arising inplasma physics Invited International conference

8th East-Asia PDE conference, Pohang University of Science and Technology, Pohang  2011.12