Scholarlink

<p>The dynamics of bacterial populations attracted by a chemotactic agent are governed by the Keller–Segel model, a system of partial differential equations. Despite extensive study, certain theoretical questions remain unresolved, particularly in the bi-dimensional case. This paper addresses this gap by investigating the behavior of solutions in both bi-dimensional and one-dimensional domains. Our numerical computations demonstrate the efficiency and robustness of the proposed method, confirming the theoretical results.</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

Singularity Formation in the Keller–Segel Model: Theoretical Analysis and Numerical Testing Using the \(\delta _{-}\)Ziti Method

  • 期刊论文

  • 发表日期：

    2025年2月17日

查看全文
  • S. Chakir,
  • S. Khallouq,
  • R. Malek,
  • C. Ziti

摘要

The dynamics of bacterial populations attracted by a chemotactic agent are governed by the Keller–Segel model, a system of partial differential equations. Despite extensive study, certain theoretical questions remain unresolved, particularly in the bi-dimensional case. This paper addresses this gap by investigating the behavior of solutions in both bi-dimensional and one-dimensional domains. Our numerical computations demonstrate the efficiency and robustness of the proposed method, confirming the theoretical results.