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arXiv

Large-Time Behavior of the 2D Compressible Navier-Stokes System in Bounded Domains with Large Data and Vacuum

作     者:Xinyu, Fan Jing, Li Xue, Wang 

作者机构:Institute of Applied Physics and Computational Mathematics Beijing100088 China School of Mathematical Sciences University of Chinese Academy of Sciences Beijing100049 China Institute of Applied Mathematics AMSS Hua Loo-Keng Key Laboratory of Mathematics Chinese Academy of Sciences Beijing100190 China 

出 版 物:《arXiv》 (arXiv)

年 卷 期:2023年

核心收录:

主  题:Conformal mapping 

摘      要:The large time behavior of the unique strong solution to the barotropic compressible Navier-Stokes system is studied with large external forces and initial data, where the shear viscosity is a positive constant and the bulk one is proportional to a power of the density. Some uniform estimates on the Lp-norm of the density are established, and then deduce that the density converges to its steady state in Lp-spaces, which transforms the large external force into a small one in some sense. Moreover, to deal with the obstacles brought by boundary, the conformal mapping and the pull back Green function are applied to give a point-wise representation of the effective viscous flux, and then make use of slip boundary conditions to cancel out the singularity. Copyright © 2023, The Authors. All rights reserved.

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