Scholarlink

<p>The present paper presents a computer-assisted proof of the existence of solutions for Elkouh’s equation, which is representative of fluid flow between parallel circular disks. The proposed approach is based on an infinite-dimensional fixed-point theorem with interval arithmetic. Various existing proofs with mathematically rigorous error bounds show the validity of the presented numerical verification method.</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

A computer-assisted proof for solutions of Elkouh’s equation related to Navier–Stokes equations

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年5月5日

查看全文
  • Yoshitaka Watanabe,
  • Shuting Cai

摘要

The present paper presents a computer-assisted proof of the existence of solutions for Elkouh’s equation, which is representative of fluid flow between parallel circular disks. The proposed approach is based on an infinite-dimensional fixed-point theorem with interval arithmetic. Various existing proofs with mathematically rigorous error bounds show the validity of the presented numerical verification method.