Scholarlink

<p>This paper is devoted to studying the motion of compressible barotropic Navier-Stokes flows subject to large external potential forces in a three-dimensional bounded domain, where both shear and bulk viscosities are powers of density. By defining suitable energy functionals and effective viscous flux, it is proved that the problem has a unique global strong solution under the slip boundary conditions, provided that the lower bound of initial density is sufficiently large. Additionally, the large-time behavior of the solution is established, which shows that the solution converges to its steady state in <i>L</i><sup><i>p</i></sup>-spaces as a consequence of the time-independent estimates.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Existence and Large-time Behavior of Strong Solutions to the Compressible Navier-Stokes System with Density-dependent Viscosities in 3D Bounded Domains

  • 期刊论文

  • 发表日期：

    2026年5月28日

查看全文
  • Mengxue Du,
  • Zhenhua Guo,
  • Lei Xu

摘要

This paper is devoted to studying the motion of compressible barotropic Navier-Stokes flows subject to large external potential forces in a three-dimensional bounded domain, where both shear and bulk viscosities are powers of density. By defining suitable energy functionals and effective viscous flux, it is proved that the problem has a unique global strong solution under the slip boundary conditions, provided that the lower bound of initial density is sufficiently large. Additionally, the large-time behavior of the solution is established, which shows that the solution converges to its steady state in Lp-spaces as a consequence of the time-independent estimates.