Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations

Advances in Nonlinear Analysis

article

Yong Wang¹  Wenpei Wu² 

[1] South China Research Center for Applied Mathematics and Interdisciplinary Studies, School of Mathematical Sciences, South China Normal University;Academy of Mathematics and Systems Science, Chinese Academy of Sciences;School of Mathematical Sciences, Xiamen University

关键词: Elastic Navier-Stokes-Poisson equations;    Initial-boundary value problems;    Global solution;    Exponential decay;   

DOI  :  10.1515/anona-2020-0184

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

We study the initial-boundary value problems of the three-dimensional compressible elastic Navier-Stokes-Poisson equations under the Dirichlet or Neumann boundary condition for the electrostatic potential. The unique global solution near a constant equilibrium state in H 2 space is obtained. Moreover, we prove that the solution decays to the equilibrium state at an exponential rate as time tends to infinity. This is the first result for the three-dimensional elastic Navier-Stokes-Poisson equations under various boundary conditions for the electrostatic potential.

【 授权许可】

CC BY