Asymptotic stability of solutions for 1-D compressible Navier-Stokes-Cahn-Hilliard system

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:467

Article

Chen, Yazhou¹  He, Qiaolin²  Mei, Ming^3,4  Shi, Xiaoding¹ 

[1] Beijing Univ Chem Technol, Sch Sci, Dept Math, Beijing 100029, Peoples R China

[2] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China

[3] Champlain Coll St Lambert, Dept Math, St Lambert, PQ J4P 3P2, Canada

[4] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

关键词: Asymptotic stability;    Compressible viscous fluid;    Navier-Stokes equations;    Cahn-Hilliard equations;    Diffusive interface;   

DOI  :  10.1016/j.jmaa.2018.06.075

来源: Elsevier

【 摘 要 】

This paper is concerned with the evolution of the periodic boundary value problem and the mixed boundary value problem for a compressible mixture of binary fluids modeled by the Navier-Stokes-Cahn-Hilliard system in one dimensional space. The global existence and the large time behavior of the strong solutions for these two systems are studied. The solutions are proved to be asymptotically stable even for the large initial disturbance of the density and the large velocity data. We show that the average concentration difference for the two components of the initial state determines the long time behavior of the diffusive interface for the two-phase flow. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free