关于一类具有一般时间渐减阻尼的非自治准线性系统

IF 2.4 2区数学 Q1 MATHEMATICS Journal of Differential Equations Pub Date : 2024-10-01 DOI:10.1016/j.jde.2024.09.049

Richard De la cruz , Wladimir Neves

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引用次数: 0

摘要

本文研究了两个具有时变系数和一般时渐退化阻尼的系统。更明确地说，我们构建了时变系数泽尔多维奇近似系统和时变系数无压气体系统的黎曼解，这两个系统都具有一般时间渐减阻尼。应用相似变量法和非线性粘性，我们得到了经典黎曼解和三角冲击波解。

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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On a class of nonautonomous quasilinear systems with general time-gradually-degenerate damping

In this paper, we study two systems with a time-variable coefficient and general time-gradually-degenerate damping. More explicitly, we construct the Riemann solutions to the time-variable coefficient Zeldovich approximation and time-variable coefficient pressureless gas systems both with general time-gradually-degenerate damping. Applying the method of similar variables and nonlinear viscosity, we obtain classical Riemann solutions and delta shock wave solutions.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics

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