Partially congested propagation fronts in one-dimensional Navier-Stokes equations

被引：0

作者：

Dalibard, Anne-Laure ^{[1
]}

Perrin, Charlotte ^{[2
]}

机构：

[1] Univ Paris Diderot SPC, Sorbonne Univ, CNRS, LJLL, F-75005 Paris, France

[2] Aix Marseille Univ, CNRS, Cent Marseille, I2M, Aix En Provence, France

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2021年 / 7卷 / 02期

基金：

美国国家科学基金会; 欧洲研究理事会;

关键词：

Navier-Stokes equations; Free boundary problem; Traveling waves; Nonlinear stability; STABILITY; MODEL; WAVE;

D O I：

10.1007/s41808-021-00131-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

These notes are dedicated to the analysis of the one-dimensional free-congested Navier-Stokes equations. After a brief synthesis of the results obtained in Dalibard and Perrin (Commun Math Sci 18(7):1775-1813, 2020) related to the existence and the asymptotic stability of partially congested profiles associated to the soft congestion Navier-Stokes system, we present a first local well-posedness result for the one-dimensional free-congested Navier-Stokes equations.

引用

页码：491 / 507

页数：17

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