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：
欧洲研究理事会; 美国国家科学基金会;
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
收藏
页码：491 / 507
页数：17
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