三方程双曲守恒系统的全局解

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-08-23 DOI:10.1016/j.aml.2024.109285

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引用次数: 0

摘要

在这篇短文中，我们关注的是一个数学模型，它是多向气体非等熵系统的变体。其主要贡献在于证明了粘度近似解的先验 L∞ 估计，并在《非严格双曲系统的全局熵解存在性》（Lu，2005 年）一文中的弱解全局存在性框架在大型双曲三方程系统上的新应用。

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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Global solutions for a hyperbolic conservation system of three equations

In this short paper, we are concerned with a mathematical model, which is the variant of non-isentropic system of polytropic gas. The main contribution is to prove the a-priori $L^{\infty}$ estimates for the viscosity approximation solutions and to obtain a new application, on a large hyperbolic system of three equations, of the global existence framework of weak solutions in the paper “Existence of Global Entropy Solutions to a Nonstrictly Hyperbolic System” (Lu, 2005).

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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.