Inviscid incompressible limit for compressible micro-polar fluids

TL;DR

This paper investigates the transition from compressible micro-polar fluids to incompressible inviscid flow, proving convergence to classical fluid dynamics equations as Mach number and viscosity tend to zero.

Contribution

It establishes the rigorous limit process for compressible micro-polar fluids converging to incompressible Euler equations, extending understanding of micro-polar fluid behavior.

Findings

Weak solutions converge to Euler equations as Mach number approaches zero.

Inviscid limit results are proved for micro-polar fluid models.

The study bridges micro-polar fluid dynamics with classical incompressible flow theory.

Abstract

In this paper we study the incompressible inviscid limit for a compressible micro-polar model. We prove that the weak solution of the compressible micro-polar system converges to the solution of the Navier-Stokes equations (Euler equations) in the limit of small Mach number (and vanishing viscosity).