Scholarlink

<p>We investigate the Cauchy problem of the two- and three-dimensional inhomogeneous incompressible magnetoviscoelastic equations. Inspired by the works of [Hu-Wang, J. Differential Equations, 249(5), 2010; Jiang-Liu-Luo, J. Differential Equations, 367, 2023], we prove the existence and uniqueness of the local-in-time strong solution by linearizing the system, deriving a series of energy estimates, and employing the approximation method and a fixed-point argument. The key tools used in this paper include the mollification approximation theory, the Lax–Milgram theorem, and the Schauder–Tychonoff fixed-point theorem.</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

Local strong solutions to the inhomogeneous incompressible magnetoviscoelastic system

  • 期刊论文

  • 发表日期：

    2026年3月3日

查看全文
  • Weicong Liang,
  • Yong Wang,
  • Jianquan Yang

摘要

We investigate the Cauchy problem of the two- and three-dimensional inhomogeneous incompressible magnetoviscoelastic equations. Inspired by the works of [Hu-Wang, J. Differential Equations, 249(5), 2010; Jiang-Liu-Luo, J. Differential Equations, 367, 2023], we prove the existence and uniqueness of the local-in-time strong solution by linearizing the system, deriving a series of energy estimates, and employing the approximation method and a fixed-point argument. The key tools used in this paper include the mollification approximation theory, the Lax–Milgram theorem, and the Schauder–Tychonoff fixed-point theorem.