Zero limit of entropic relaxation time for the Shliomis model of ferrofluids

TL;DR

This paper constructs solutions for the Shilomis ferrofluid model in a critical space uniformly across relaxation times and analyzes their convergence as the relaxation time approaches zero.

Contribution

It introduces a method to analyze the zero relaxation time limit of the Shilomis model uniformly in the relaxation parameter.

Findings

Solutions exist uniformly in the relaxation time

Convergence of solutions as relaxation time tends to zero

Insights into the limiting behavior of ferrofluid models

Abstract

We construct solutions for the Shilomis model of ferrofluids in a critical space, uniformly in the entropic relaxation time $ \tau \in\left(0, \tau_0\right) $. This allows us to study the convergence when $ \tau\to 0 $ for such solutions.