有限通量Keller-Segel体系的自相似解

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

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引用次数: 0

摘要

我们考虑了一个有限通量的Keller-Segel系统，在临界和超临界情况下构造了径向正演自相似解，这意味着系统允许具有一些粗糙初始数据的全局解。我们还证明了径向平稳解的存在性，并得到了一些性质。为了证明我们的定理，我们处理了相应质量函数的二阶常微分方程。

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

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.