Space-time behavior of the compressible Navier-Stokes equations with hyperbolic heat conduction

被引：2

作者：

Liu, Mengqian ^{[1
]}

Wu, Zhigang ^{[1
]}

机构：

[1] Donghua Univ, Dept Math, Shanghai 201620, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 10期

基金：

中国国家自然科学基金; 上海市自然科学基金;

关键词：

OPTIMAL CONVERGENCE-RATES; EXPONENTIAL STABILITY; GLOBAL EXISTENCE; GREENS-FUNCTION; DECAY; THERMOELASTICITY; SYSTEMS; WAVE;

D O I：

10.1063/5.0146449

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider compressible Navier-Stokes equations with hyperbolic heat conduction in R-3. A space-time description of the classical solution is given when the initial perturbation is suitable small. The result implies that all of the unknowns obey the generalized Huygens' principle as the classical compressible Navier-Stokes equations in Liu and Wang [Commun. Math. Phys. 196, 145-173 (1998)]. Additionally, we show that the decay of the flux q is faster than the other unknowns.

引用

页数：21

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