Zero dissipation limit to rarefaction wave with vacuum for the
micropolar compressible flow with temperature-dependent transport
coefficients
Abstract
In this article, we consider the zero dissipation limit of the
micropolar equations with temperature-dependent viscosity and
heat-conduction coefficient. If the given rarefaction wave to the
corresponding conservation systems connects to vacuum at one side, we
can construct a sequence of solutions to the micropolar equations which
converge to the given rarefaction wave with vacuum as the transport
coefficients tend to zero. And the uniform convergence rate can be
obtained. The key point in our analysis is how to control the
degeneracies of the density, the temperature and the
temperature-dependent viscosities at the vacuum region in the zero
dissipation limit process.03 Jun 2020Submitted to Mathematical Methods in the Applied Sciences 06 Jun 2020Submission Checks Completed
06 Jun 2020Assigned to Editor
07 Jun 2020Reviewer(s) Assigned
30 Nov 2020Review(s) Completed, Editorial Evaluation Pending
30 Nov 2020Editorial Decision: Accept
21 Dec 2020Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.7110