Scholarlink

<p>The present article considers the Neumann initial-boundary problem as governed by a fully parabolic chemotaxis system comprising chemoattractant consumption rather than direct production by cellular populations in a smoothly bounded domain <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Omega \subset \mathbb {R}^{N}(N\ge 2)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Ω</mi> <mo>⊂</mo> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mi>N</mi> </msup> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mo>≥</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>, elucidating the sophisticated interactions between logistic mechanism and solution properties among a model of this type. For any choice of the sufficiently regular initial data, then the global existence and uniform-in-time boundedness of classical solutions to the corresponding issue are clearly shown to possess under appropriate modest hypotheses, which not only goes beyond previously reported discoveries, but also illustrates that the inclusion of logistic source may effectively preclude the occurrence of blow-up phenomena in such class of 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

Blow-up prevention by the dampening role of superlinear logistic-type kinetics in an N-dimensional parabolic-parabolic chemotaxis-consumption system

  • 期刊论文

  • 发表日期：

    2026年2月21日

查看全文
  • Jiashan Zheng,
  • Yuying Wang

摘要

The present article considers the Neumann initial-boundary problem as governed by a fully parabolic chemotaxis system comprising chemoattractant consumption rather than direct production by cellular populations in a smoothly bounded domain \(\Omega \subset \mathbb {R}^{N}(N\ge 2)\) Ω ⊂ R N ( N ≥ 2 ) , elucidating the sophisticated interactions between logistic mechanism and solution properties among a model of this type. For any choice of the sufficiently regular initial data, then the global existence and uniform-in-time boundedness of classical solutions to the corresponding issue are clearly shown to possess under appropriate modest hypotheses, which not only goes beyond previously reported discoveries, but also illustrates that the inclusion of logistic source may effectively preclude the occurrence of blow-up phenomena in such class of systems.