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《Journal of Shanghai Normal University(Natural Sciences)》 2011-01
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The zero-momentum-relaxation-time limit of stationary solutions of a nonisentropic hydrodynamic semiconductor model

ZHANG Xue-min,LI Ye-ping(Mathematics and Science College,Shanghai Normal University,Shanghai 200234,China)  
This paper is devoted to the zero-momentum-relaxation-time limit of stationary solutions for a general multi-dimensional nonisentropic hydrodynamic semiconductor model.This model takes the form of nonisentropic Euler-Poisson.By arguments of matched asymptotic expansions,we first construct each profile in proper function space,and then justify the asymptotic expansions up to any order.
【Fund】: The National Science Foundation of China(10701057);; The Innovation Program of Shanghai Municipal Education Commission(08YZ72)
【CateGory Index】: O175
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1 WANG Shu~1,GAO Yong~1, HAN Xiao-sen~1, XIAO ling~2(1. College of Mathematics and Information Science, Henan University, Kaifeng 475001, Henan China; 2. Academy of Mathematics and Systems Sciences,Chinese Academy of Sciences, Beijing 100080, China);The Asymptotic Behavior of Global Smooth Solutions to the Multidimensional Hydrodynamic Model for Semiconductors in the Exterior Domain[J];Journal of Henan University (Natural Science);2003-04
2 WANG Run-qing1,MAO Jian-feng2,LI Ye-ping1(1.College of Mathematics and Sciences,Shanghai Normal University,Shanghai 200234,China;2.Department of Mathematics,Xianning College,Xianning 437005,China);A note on the relaxation limit of the isothermal bipolar hydrodynamic model[J];Journal of Shanghai Normal University(Natural Sciences);2009-01
3 XIAO Ling, QIU You-chun, ZHANG Kai-jun(1. Academia of Mathematics and System Sciences, CAS, Beijing, 100080, P. R. China; 2. MIP, CNRS, UMR 5640, Universite Paul Sabatier, 31062 Toulouse Cedex 04, France; 3. Dept. of Math., Northeast Normal Univ., Changchun, Jilin, 130024, P. R. China; 4. Institut fur Mathematik, Universitat Wien, Strudlhofgasse 4, A-1090 Wien, Austria);On Mathematical Modelling and Analysis in Semiconductors and Superlattices Part Ⅱ: Analysis[J];Advances In Mathematics;2003-02
4 HSIAO LING Academy of Mathematics and Systems Sciences, the Chinese Academy Sciences, Beijing 100080,China.; WANG SHU Department of Mathematics, Henan University, Kaifeng 475001, China and Academy of Mathematics and Systems Sciences, the Chinese Academy S;THE ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS TO THE MACROSCOPIC MODELS FOR SEMICONDUCTORS[J];数学年刊B辑(英文版);2001-02
5 PENG YUEJUN Laboratoire de Mathematiques Appliquees, CNRS UMR 6620, Universite Blaise Pascal (Clermont-Ferrand 2), F-63177 Aubiere cedex, France. E-mail: peng@math.univ-bpclermont.fr;ASYMPTOTIC LIMITS OF ONE-DIMENSIONAL HYDRODYNAMIC MODELS FOR PLASMAS AND SEMICONDUCTORS[J];数学年刊B辑(英文版);2002-01
6 LI Yeping School of Mathematical Sciences,Fudan University,Shanghai 200433,China.;Relaxation Limit of a Unipolar Isentropic Hydrodynamic Model for Semiconductors[J];Chinese Annals of Mathematics;2007-01
7 Li Yeping Department of Mathematics,Xianning College,Xianning 437005,China Department of Mathematics,Shanghai Normal University,Shanghai 200234,China;STEADY-STATE SOLUTIONS FOR A ONE-DIMENSIONAL NONISENTROPIC HYDRODYNAMIC MODEL WITH NON-CONSTANT LATTICE TEMPERATURE[J];数学物理学报(英文版);2008-03
8 Hsiao Ling Institute of Mathematics, AMSS, Chinese Academy of Sciences, Beijing 100190, China Li Hailiang Department of Mathematics, Capital Normal University, Beijing 100037, China;THE WELL-POSEDNESS AND ASYMPTOTICS OF MULTI-DIMENSIONAL QUANTUM HYDRODYNAMICS[J];数学物理学报(英文版);2009-03
9 LI Ye-ping (Dept, of Math. , Xianning Teachers'College, Xianning 437005);Lp-CONVERGENCE RATE OF SOLUTIONS FOR ONE-DIMENSIONAL HYDRODYNAMIC MODEL FOR SEMICONDUCTOR[J];Journal of Mathematics;2003-03
10 Tan Zhong1 Zhang Yinghui1,2 1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China 2. Department of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, China;STRONG SOLUTIONS OF THE COUPLED NAVIER-STOKES-POISSON EQUATIONS FOR ISENTROPIC COMPRESSIBLE FLUIDS[J];数学物理学报(英文版);2010-04
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