Existence and Nonlinear Stability of Stationary Solutions to the Viscous Two-Phase Flow Model in a Half Line

• 作者: Hai-Liang Li Shuang Zhao
• 来源期刊: 数学研究通讯
• 年，卷（期）: 2020,（4）
• 页码范围: 423-459
• 页数: 37页
• 语种: 英文
• DOI: 10.4208/cmr.2020-0063

摘要

The outflow problem for the viscous two-phase flow model in a half line is investigated in the present paper. The existence and uniqueness of the stationary solution is shown for both supersonic state and sonic state at spatial far field, and the nonlinear time stability of the stationary solution is also es-tablished in the weighted Sobolev space with either the exponential time decay rate for supersonic flow or the algebraic time decay rate for sonic flow.