Self-similar solutions to a flux-limited Keller–Segel system

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-01-08 DOI:10.1016/j.nonrwa.2024.104308

Shohei Kohatsu , Takasi Senba

引用次数: 0

Abstract

We consider a flux-limited Keller–Segel system, and construct radial forward self-similar solutions in the critical and super-critical cases, which imply that the system admits global solutions with some rough initial data. We also show existence of radial stationary solutions, and obtain some properties. In order to prove our theorems, we deal with second-order ordinary differential equations of corresponding mass functions.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.