Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion

IF 1.9 3区 数学 Q2 Mathematics
S. Georgiadis, A. Tzavaras
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引用次数: 3

Abstract

A Type-I model of a multicomponent system of fluids with non-constant temperature is derived as the high-friction limit of a Type-II model via a Chapman-Enskog expansion. The asymptotic model is shown to fit into the general theory of hyperbolic-parabolic systems, by exploiting the entropy structure inherited through the asymptotic procedure. Finally, by deriving the relative entropy identity for the Type-I model, two convergence results for smooth solutions are presented, from the system with mass-diffusion and heat conduction to the corresponding system without mass-diffusion but including heat conduction and to its hyperbolic counterpart.
具有热传导和质量扩散的多分量可压缩流的渐近推导
通过Chapman-Enskog展开,导出了非恒温多组分流体系统的i型模型作为ii型模型的高摩擦极限。利用渐近过程所继承的熵结构,证明了该渐近模型符合双曲抛物型系统的一般理论。最后,通过推导i型模型的相对熵恒等式,给出了两个光滑解的收敛结果,从有质量扩散和热传导的系统到相应的无质量扩散但包括热传导的系统以及对应的双曲型系统。
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来源期刊
CiteScore
2.70
自引率
5.30%
发文量
27
审稿时长
6-12 weeks
期刊介绍: M2AN publishes original research papers of high scientific quality in two areas: Mathematical Modelling, and Numerical Analysis. Mathematical Modelling comprises the development and study of a mathematical formulation of a problem. Numerical Analysis comprises the formulation and study of a numerical approximation or solution approach to a mathematically formulated problem. Papers should be of interest to researchers and practitioners that value both rigorous theoretical analysis and solid evidence of computational relevance.
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