LOW MACH NUMBER LIMIT ON EXTERIOR DOMAINS

被引：3

作者：

Donatelli, Donatella ^{[1
]}

Marcati, Pierangelo ^{[1
]}

机构：

[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67100 Laquila, Italy

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 01期

关键词：

exterior domain; compressible and incompressible Navier-Stokes equation; low Mach number limit; hyperbolic equations; wave equations; rescaling; dispersive estimates; Strichartz estimates; SELF-GRAVITATING FLUIDS; NAVIER-STOKES SYSTEM; INCOMPRESSIBLE LIMIT; BOUNDARY-CONDITIONS; UNBOUNDED-DOMAINS; WEAK SOLUTIONS; WAVE-EQUATION; SPACE;

D O I：

10.1016/S0252-9602(12)60010-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the low Mach number limit for the compressible Navier-Stokes equations in an exterior domain. We present here an approach based on Strichartz estimate defined on a non trapping exterior domain and we will be able to show the compactness and strong convergence of the velocity vector field.

引用

页码：164 / 176

页数：13

共 50 条

[31] Low Mach number limit of a compressible micropolar fluid model
Su, Jingrui
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 38 : 21 - 34
[32] Low Mach number limit of viscous polytropic fluid flows
Ou, Yaobin
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (08) : 2037 - 2065
[33] LOW MACH NUMBER LIMIT OF VISCOUS COMPRESSIBLE MAGNETOHYDRODYNAMIC FLOWS
Hu, Xianpeng
Wang, Dehua
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2009, 41 (03) : 1272 - 1294
[34] Low Mach number limit of the compressible Euler–Cattaneo–Maxwell equations
Fucai Li
Shuxing Zhang
Zhipeng Zhang
Zeitschrift für angewandte Mathematik und Physik, 2022, 73
[35] Low Mach Number Limit of Solutions to the Stochastic Compressible Magnetohydrodynamic Equations
Huaqiao Wang
Journal of Dynamics and Differential Equations, 2023, 35 : 2413 - 2451
[36] Low Mach number limit of multidimensional steady flows on the airfoil problem
Mingjie Li
Tian-Yi Wang
Wei Xiang
Calculus of Variations and Partial Differential Equations, 2020, 59
[37] Low Mach number limit of the compressible Hall-magnetohydrodynamic system
Yang, Xiuhui
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 25 : 118 - 126
[38] Low Mach number limit of viscous compressible flows in the whole space
Desjardins, B
Grenier, E
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1999, 455 (1986): : 2271 - 2279
[39] Asymptotic single and multiple scale expansions in the low Mach number limit
Meister, Andreas
SIAM Journal on Applied Mathematics, 60 (01): : 256 - 271
[40] A LOW MACH NUMBER LIMIT OF A DISPERSIVE NAVIER-STOKES SYSTEM
Levermore, C. David
Sun, Weiran
Trivisa, Konstantina
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 44 (03) : 1760 - 1807

← 1 2 3 4 5 →