Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations

被引：10

作者：

Gui, Guilong ^{[1
]}

Wang, Chao ^{[2
]}

Wang, Yuxi ^{[2
]}

机构：

[1] Northwest Univ, Sch Math, Ctr Nonlinear Studies, Xian 710069, Shaanxi, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 58卷 / 05期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

35K65; 35R35; 76N10; GLOBAL WEAK SOLUTIONS; EULER EQUATIONS; SMOOTH SOLUTIONS; EXISTENCE; BEHAVIOR; VISCOSITY; CONVERGENCE; SYMMETRY; DENSITY; FLUIDS;

D O I：

10.1007/s00526-019-1608-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the 3-D motion of viscous gas with the vacuum free boundary. We use the conormal derivative to establish local well-posedness of this system. One of important advantages in the paper is that we do not need any strong compatibility conditions on the initial data in terms of the acceleration.

引用

页数：35

共 50 条

[41] Well-posedness of 2-D and 3-D swimming models in incompressible fluids governed by Navier-Stokes equations
Khapalov, Alexander
Cannarsa, Piermarco
Priuli, Fabio S.
Floridia, Giuseppe
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 429 (02) : 1059 - 1085
[42] WELL-POSEDNESS RESULTS FOR THE NAVIER-STOKES EQUATIONS IN THE ROTATIONAL FRAMEWORK
Hieber, Matthias
Monniaux, Sylvie
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (11-12) : 5143 - 5151
[43] Local well-posedness of the anisotropic Lagrangian averaged Navier-Stokes equations with stokes projector viscosity
Peirce, James
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2006, 31 (08) : 1139 - 1149
[44] Well-posedness of the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and far field vacuum
Xin, Zhouping
Zhu, Shengguo
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021, 152 : 94 - 144
[45] Global well-posedness to the incompressible Navier-Stokes equations with damping
Zhong, Xin
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017, (62)
[46] Global well-posedness for the 3D incompressible inhomogeneous Navier-Stokes equations and MUD equations
Zhai, Xiaoping
Yin, Zhaoyang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 262 (03) : 1359 - 1412
[47] Well-Posedness for the Navier-Stokes Equations with Datum in the Sobolev Spaces
Khai D.Q.
Acta Mathematica Vietnamica, 2017, 42 (3) : 431 - 443
[48] Global well-posedness of non-heat conductive compressible Navier-Stokes equations in 1D
Li, Jinkai
NONLINEARITY, 2020, 33 (05) : 2181 - 2210
[49] Global well-posedness of coupled Navier-Stokes and Darcy equations
Cui, Meiying
Dong, Wenchao
Guo, Zhenhua
JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 388 : 82 - 111
[50] Analytical solutions to the 3-D compressible Navier-Stokes equations with free boundaries
Wang, Mei
Li, Zilai
Li, Wei
BOUNDARY VALUE PROBLEMS, 2015,

← 1 2 3 4 5 →