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

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。

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.