Stationary states of a chemotaxis consumption system with singular sensitivity and inhomogeneous boundary conditions

被引：1

作者：

Ahn, Jaewook ^{[1
]}

Lankeit, Johannes ^{[2
]}

机构：

[1] Dongguk Univ, Dept Math, Seoul 04620, South Korea

[2] Leibniz Univ Hannover, Inst Angew Math, Welfengarten 1, D-30167 Hannover, Germany

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2025年 / 422卷

基金：

新加坡国家研究基金会;

关键词：

Chemotaxis; Stationary state; Inhomogeneous Dirichlet boundary conditions; Uniqueness; Classical solvability; NAVIER-STOKES SYSTEM; PRESCRIBED SIGNAL CONCENTRATIONS; SEMILINEAR PROBLEM; GLOBAL-SOLUTIONS; MODEL; DIFFUSION;

D O I：

10.1016/j.jde.2024.12.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For given total mass m > 0 we show unique solvability of the stationary chemotaxis-consumption model {0 = Delta u- chi del center dot (u/v del v) 0 = Delta v - uv integral(Omega) u = m under no-flux-Dirichlet boundary conditions in bounded smooth domains Omega subset of R-2 and Omega = B-R(0) subset of R-d, d >= 3. (c) 2024 The Authors. Published by Elsevier Inc.

引用

页码：251 / 263

页数：13

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