具有密度依赖粘度的Navier-Stokes-Korteweg系统的渐近极限

Q3 Mathematics

Electronic Research Announcements in Mathematical Sciences Pub Date : 2015-07-01 DOI:10.3934/ERA.2015.22.20

Jianwei Yang, Peng Cheng, Yudong Wang

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引用次数: 1

摘要

本文研究了正压可压缩Navier-Stokes-Korteweg方程弱解的不可压缩和消失毛细极限的组合。对于准备好的初始数据，采用调制能量法严格证明了可压缩Navier-Stokes- korteweg方程的解收敛于不可压缩Navier-Stokes方程的解。此外，还得到了相应的收敛速率。

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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Asymptotic limit of a Navier-Stokes-Korteweg system with density-dependent viscosity

In this paper, we study a combined incompressible and vanishing capillarity limit in the barotropic compressible Navier-Stokes-Korteweg equations for weak solutions. For well prepared initial data, the convergence of solutions of the compressible Navier-Stokes-Korteweg equations to the solutions of the incompressible Navier-Stokes equation are justified rigorously by adapting the modulated energy method. Furthermore, the corresponding convergence rates are also obtained.

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来源期刊

Electronic Research Announcements in Mathematical Sciences 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication. ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007