Scholarlink

<p>A proof of the existence of weak solutions for a system of equations describing the motion of a viscous liquid is given. A number of a&#xa0;priori estimates for the family of solutions are derived. Based on the topological theory of the degree of completely continuous vector fields, we establish the existence of weak solutions of the approximation problem. The convergence of solutions of approximation problems to the solution of the original boundary-value problem is proved.</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

WEAK SOLVABILITY OF THE INITIAL-BOUNDARY-VALUE PROBLEM FOR THE NAVIER–STOKES SYSTEM BASED ON THE METHOD OF PARABOLIC REGULARIZATION

  • 期刊论文

  • 发表日期：

    2025年10月1日

查看全文
  • M. V. Chirova

摘要

A proof of the existence of weak solutions for a system of equations describing the motion of a viscous liquid is given. A number of a priori estimates for the family of solutions are derived. Based on the topological theory of the degree of completely continuous vector fields, we establish the existence of weak solutions of the approximation problem. The convergence of solutions of approximation problems to the solution of the original boundary-value problem is proved.