GLOBAL WEAK SOLUTIONS TO THE α-MODEL REGULARIZATION FOR 3D COMPRESSIBLE EULER-POISSON EQUATIONS

• 作者: Yabo REN Boling GUO Shu WANG
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（3）
• 页码范围: 679-702
• 页数: 24页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.03.003

摘要

Global in time weak solutions to the α-model regularization for the three di-mensional Euler-Poisson equations are considered in this paper.We prove the existence of global weak solutions to α-model regularization for the three dimension compressible Euler-Poisson equations by using the Fadeo-Galerkin method and the compactness arguments on the condition that the adiabatic constant satisfies γ＞4/3.