ON INCOMPRESSIBLE LIMITS FOR THE NAVIER-STOKES SYSTEM ON UNBOUNDED DOMAINS UNDER SLIP BOUNDARY CONDITIONS

被引：17

作者：

Donatelli, Donatella ^{[1
]}

Feireisl, Eduard ^{[2
]}

Novotny, Antonin ^{[3
]}

机构：

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

[2] Acad Sci Czech Republic, Inst Math, CR-11567 Prague 1, Czech Republic

[3] Univ Sud Toulon Var, IMATH, F-83957 La Garde, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2010年 / 13卷 / 04期

关键词：

Navier-Stokes equations; singular limits; low Mach number; compressible fluids; unbounded domains; COMPRESSIBLE EULER EQUATION; MACH NUMBER LIMIT; FLOWS; EXTERIOR; WAVE;

D O I：

10.3934/dcdsb.2010.13.783

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the low Mach number limit for the compressible Navier-Stokes system supplemented with Navier's boundary condition on an unbounded domain with compact boundary. Our main result asserts that the velocities converge pointwise to a solenoidal vector field - a weak solution of the incompressible Navier-Stokes system - while the fluid density becomes constant. The proof is based on a variant of local energy decay property for the underlying acoustic equation established by Kato.

引用

页码：783 / 798

页数：16

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