JOURNAL ARTICLE

Global weak solutions to a nonlinear chemotaxis system with singular density-suppressed motility.

  • Published In: Analysis & Applications, 2025, v. 23, n. 1. P. 65 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Zhang, Zhiguang; Li, Yuxiang 3 of 3

Abstract

In this work, we study the no-flux initial-boundary value problem for the migration-consumption taxis system involving singular density-suppressed motility u t = Δ (u l ϕ (v)) , v t = Δ v − u v m (⋆) in a bounded domain Ω ⊂ ℝ n (n ≥ 2) , where ϕ generalizes the singular prototype given by ϕ (ξ) = ξ − α (ξ > 0) with α > 0. We prove that if l > n 2 and m ≥ 1 , then the model (⋆) possesses a global weak-strong solution. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Analysis & Applications. 2025/01, Vol. 23, Issue 1, p65
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2025
  • ISSN:0219-5305
  • DOI:10.1142/S0219530524500258
  • Accession Number:181093205
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