Close Search Advanced
Journals
Resources
About Us
Open Access

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

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

Year:    2020

Author:    Hai-Liang Li, Shuang Zhao

Communications in Mathematical Research , Vol. 36 (2020), Iss. 4 : pp. 423–459

Abstract

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 established in the weighted Sobolev space with either the exponential time decay rate for supersonic flow or the algebraic time decay rate for sonic flow.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cmr.2020-0063

Communications in Mathematical Research , Vol. 36 (2020), Iss. 4 : pp. 423–459

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    37

Keywords:    Two-phase flow outflow problem stationary solution nonlinear stability.

Author Details

Hai-Liang Li

Shuang Zhao

  1. Recent Progress on Outflow/Inflow Problem for Viscous Multi-phase Flow

    Hao, Fangfang | Li, Hai-Liang | Shang, Luyao | Zhao, Shuang

    Communications on Applied Mathematics and Computation, Vol. 5 (2023), Iss. 3 P.987

    https://doi.org/10.1007/s42967-022-00194-1 [Citations: 0]

  2. The existence and nonlinear stability of stationary solutions to outflow problem for a reduced gravity two and a half layer model

    Yin, Haiyan | Zhao, Shuang | Zhu, Mengmeng

    Journal of Differential Equations, Vol. 397 (2024), Iss. P.199

    https://doi.org/10.1016/j.jde.2024.03.002 [Citations: 0]

  3. Nonlinear stability of planar stationary solutions to the viscous two-phase flow model in R+3

    Duan, Xianglong | Hao, Fang-Fang | Li, Hai-Liang | Zhao, Shuang

    Journal of Differential Equations, Vol. 367 (2023), Iss. P.749

    https://doi.org/10.1016/j.jde.2023.05.027 [Citations: 2]