热扩散系统解的统一约束

IF 2.6 1区数学 Q1 MATHEMATICS, APPLIED

Archive for Rational Mechanics and Analysis Pub Date : 2024-10-04 DOI:10.1007/s00205-024-02046-z

Joonhyun La, Jean-Michel Roquejoffre, Lenya Ryzhik

引用次数: 0

摘要

我们得到了一类热扩散系统解的时间均匀（L^\infty \）边界。我们假定非线性在无穷大时最多呈亚指数增长，并在零点附近具有线性行为。

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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A Uniform Bound for Solutions to a Thermo-diffusive System

We obtain uniform in time \(L^\infty \)-bounds for the solutions to a class of thermo-diffusive systems. The nonlinearity is assumed to be at most sub-exponentially growing at infinity and have a linear behavior near zero.

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来源期刊

Archive for Rational Mechanics and Analysis 物理-力学

CiteScore

5.10

自引率

8.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.