耗散可压缩流体动力学中一阶对称双曲平衡律系统的时间渐近稳定性

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED Quarterly of Applied Mathematics Pub Date : 2022-03-15 DOI:10.1090/qam/1620

H. Freistühler

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引用次数: 3

摘要

本文将Ruggeri 1983年粘性导热流体动力学公式的一个非（或/等）热变体确定为平衡律的双曲系统，并表明原始模型和该变体都具有（a）时间渐近稳定的平衡和（b）源于原势的主要部分：一个将时空通量诱导为其黑森州的适当部分。

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Time-asymptotic stability for first-order symmetric hyperbolic systems of balance laws in dissipative compressible fluid dynamics

This paper identifies a non-(or /iso-)thermal variant of Ruggeri’s 1983 formulation of viscous heat-conductive fluid dynamics as a hyperbolic system of balance laws and shows that both the original model and this variant have (a) time-asymptotically stable equilibria and (b) principal parts deriving from a protopotential: a single scalar function that induces the temporospatial flux as an appropriate part of its Hessian.

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来源期刊

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.