一维双简并交叉扩散系统弱解的唯一性

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-02-28 DOI:10.1016/j.aml.2025.109521

Xiuqing Chen, Bang Du

引用次数: 0

摘要

证明了一维双简并交叉扩散系统整体弱解的唯一性。这些方程模拟了在营养不良的环境中喂养细菌种群的进化。证明的关键思想是将弱解和的不定积分应用到系统中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Uniqueness of weak solutions to one-dimensional doubly degenerate cross-diffusion system

The uniqueness of global weak solutions to one-dimensional doubly degenerate cross-diffusion system is shown. The equations model the evolution of feeding bacterial populations in a malnourished environment. The key idea of the proof is applying anti-derivative of the sum of weak solutions to the system.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.