热非平衡态三维气体动力学平面稀释波的线性化稳定性

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Communications in Mathematical Sciences Pub Date : 2024-02-01 DOI:10.4310/cms.2024.v22.n2.a3

Hua Zhong

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引用次数: 0

摘要

对于振动非平衡状态下的三维气体流，本文以稀释波强度足够小为条件，获得了平面稀释波的线性化稳定性。该问题的主要特点是扰动的 $L^2$ 正态可能随时间增长。

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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Linearized stability of planar rarefaction wave for 3D gas dynamics in thermal nonequilibrium

For the three-dimensional gas flow in vibrational nonequilibrium, the linearized stability of the planar rarefaction waves is obtained in this paper in terms of the rarefaction wave strength is small enough. The main feature of the problem is that the $L^2$-norm of the perturbations may grow in time.

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来源期刊

Communications in Mathematical Sciences 数学-应用数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： Covers modern applied mathematics in the fields of modeling, applied and stochastic analyses and numerical computations—on problems that arise in physical, biological, engineering, and financial applications. The journal publishes high-quality, original research articles, reviews, and expository papers.