Scholarlink

<p>A system of two linear wave equations with cross friction is a hyperbolic analogue of a system of two linear heat equations with cross diffusion. Such wave equation systems often have illposed initial value problems, but they can have some desirable asymptotic properties on certain closed subspaces of the underlying Hilbert space. Our main result concerns asymptotic equipartition of operator-weighted energy for some nonautonomous cross friction systems.</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

Equipartition of energy for nonautonomous damped wave equations with cross friction

  • 期刊论文

  • 发表日期：

    2025年11月4日

查看全文
  • Giséle Ruiz Goldstein,
  • Jerome A. Goldstein,
  • Sandra Lucente,
  • Silvia Romanelli

摘要

A system of two linear wave equations with cross friction is a hyperbolic analogue of a system of two linear heat equations with cross diffusion. Such wave equation systems often have illposed initial value problems, but they can have some desirable asymptotic properties on certain closed subspaces of the underlying Hilbert space. Our main result concerns asymptotic equipartition of operator-weighted energy for some nonautonomous cross friction systems.