Incompressible limit of strong solutions to 3-D Navier-Stokes equations with Navier's slip boundary condition for all time

2013/08/20 by Yaobin Ou, Ou, Yaobin, Dandan Ren +1
Engineering · Mathematics · #35M33 #35Q30 #76N99 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1308.4246

openalex publication_date 2013/08/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This paper studies the incompressible limit of global strong solutions to the three-dimensional compressible Navier-Stokes equations associated with Navier's slip boundary condition, provided that the time derivatives, up to first order, of solutions are bounded initially. The main idea is to derive a differential inequality with decay, so that the estimates are bounded uniformly both in the Mach number 00 and the time t>=0.

Citations

• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids

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