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arXiv · 1308.4246

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

Yaobin Ou·Dandan Ren
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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 0<ε<=ε0 for some ε0>0 and the time t>=0.

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Yaobin Ou, Dandan Ren. 2013-09-01. Incompressible limit of strong solutions to 3-D Navier-Stokes equations with Navier's slip boundary condition for all time. https://arxiv.org/abs/1308.4246

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