Wave-breaking for a scalar conservation law with nonlocal source arising in radiation hydrodynamics

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-09-15 DOI:10.1016/j.aml.2025.109759

Wenguang Cheng

引用次数: 0

Abstract

In this paper, we study the Cauchy problem for a scalar conservation law with nonlocal source arising in radiation hydrodynamics, which can be rewritten as a hyperbolic-elliptic coupled system. By virtue of the boundedness of the

L^{1}

norm of the solution, we give two new sufficient conditions on the initial data to ensure the occurrence of the wave-breaking of strong solutions.

查看原文本刊更多论文

辐射流体力学中非局域源标量守恒律的破波

本文研究了辐射流体动力学中具有非局域源的标量守恒律的柯西问题，该守恒律可以改写为双曲-椭圆耦合系统。利用解的L1范数的有界性，在初始数据上给出了保证强解破波发生的两个新的充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.