LOW MACH NUMBER LIMIT ON EXTERIOR DOMAINS

作者：Donatelli Donatella^*; Marcati Pierangelo

来源：Acta Mathematica Scientia, 2012, 32(1): 164-176.

DOI：10.1016/S0252-9602(12)60010-1

• exterior domain
• compressible and incompressible Navier-Stokes equation
• low Mach number limit
• hyperbolic equations
• wave equations
• rescaling
• dispersive estimates
• Strichartz estimates

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.

• 出版日期2012-1