一维量子Euler—Poisson方程解渐近性,本文是一篇关于一维量子Euler论文范文，可作为相关选题参考,和写作参考文献。
一维量子Euler论文参考文献：
Abstract： We study the onedimensional quantum hydrodynamic system for semiconductors.It takes the isentropic EulerPoisson equations with the quantum potential and momentum relaxation term in the momentum equations.We show the asymptotic behavior of the solutions for the initial value problem to onedimensional quantum EulerPoisson equations,when the far field states of the current density are inconsistent and the far field of the electric field is not zero.Choosing proper corrections and using the energy methods,we prove that the solutions of onedimensional isentropic quantum EulerPoisson equations decay exponentially fast to the stationary solutions.This result improves previous results in which the current density′s far fields are equal and the far field of the electric field is zero.
Key words： asymptotic behavior； quantum EulerPoisson equation； energy estimate； stationary solutions
CLC number： O 175.2Document code： AArticle ID： 10005137（2013）06055114
Received date： 20130926
Foundation item： Supported by the National Science Foundation of China （11171223） and the Innovation Program of Shanghai Municipal Education Commission （13ZZ109）.
Biography： Li Yeping（1972-）,male,professor,College of Mathematics and Sciences,Shanghai Normal University；Pu Fenfang（1987-）,female,graduate student,College of Mathematics and Sciences,Shanghai Normal University.
*Corresponding author1Introduction
We study the following isentropic quantum EulerPoisson equations in spatial one
and t>0.Here n,j, and E represent the density,the momentum and the electric field,respectively.The function b（x） stands for the density of fixed,positively charged background ions,the socalled doping profile.The positive constant ε is called the scaled Planck constant.The coefficient τ denotes the relaxation time.The function p（n） is the pressure.For more details of model,refer to[1-4].
Due to their physical importance,mathematical complexity and wide range of applications,there are many studies on the wellposedness and largetime behavior of the solutions of the quantum EulerPoisson equations,such as[5-14]and the references therein.In this paper,we will study the largetime behavior of the solutions for the initial value problem to onedimensional quantum EulerPoisson equations when the far field states of the current density are inconsistent and the far field of the electric field is not zero.Since our interest here is the long behavior of the solutions,without loss of generality,we assume that
结论：关于对不知道怎么写一维量子Euler论文范文课题研究的大学硕士、相关本科毕业论文一维谐振子量子态数论文开题报告范文和文献综述及职称论文的作为参考文献资料下载。
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