A free boundary problem for binary fluids

IF 1.2 4区数学 Q1 MATHEMATICS

Interfaces and Free Boundaries Pub Date : 2020-05-11 DOI:10.4171/IFB/462

R. Benzi, M. Bertsch, F. Deangelis

引用次数: 0

Abstract

A free boundary problem for the dynamics of a glasslike binary fluid naturally leads to a singular perturbation problem for a strongly degenerate parabolic partial differential equation in 1D. We present a conjecture for an asymptotic formula for the velocity of the free boundary and prove a weak version of the conjecture. The results are based on the analysis of a family of local travelling wave solutions.

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二元流体的自由边界问题

一类类玻璃二元流体动力学的自由边界问题自然导致一维强退化抛物型偏微分方程的奇异摄动问题。给出了自由边界速度渐近公式的一个猜想，并证明了该猜想的一个弱版本。这些结果是基于对一组局部行波解的分析。

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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来源期刊

Interfaces and Free Boundaries 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Interfaces and Free Boundaries is dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems in all areas where such phenomena are pertinent. The journal aims to be a forum where mathematical analysis, partial differential equations, modelling, scientific computing and the various applications which involve mathematical modelling meet. Submissions should, ideally, emphasize the combination of theory and application.