具奇异敏感的趋化模型解的整体有界性
Global Boundedness of the Solution for Chemotaxis Model with Singular Sensitivity
DOI: 10.12677/PM.2023.1311330, PDF,   
作者: 牛 聪, 陈 越：辽宁师范大学数学学院，辽宁 大连
关键词: 奇异敏感；古典解；整体有界性；Singular Sensitivity； Classical Solution； Global Boundedness
摘要: 本文研究齐次Neumann边界条件下的具奇异敏感的抛物–椭圆趋化模型：，，其中Ω⊂ℝ为有界区间，α,β,χ > 0。当时，模型存在整体有界的古典解。
Abstract: This article studies a parabolic-elliptical chemotaxis model with singular sensitivity under homo-geneous Neumann boundary conditions:, where Ω⊂ℝ, α,β,χ > 0. It’s proved that the classical solution of is globally bounded.
文章引用：牛聪, 陈越. 具奇异敏感的趋化模型解的整体有界性[J]. 理论数学, 2023, 13(11): 3185-3192. https://doi.org/10.12677/PM.2023.1311330

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