Global existence of strong solution to non-isothermal ideal gas system

preprint2022arXivOpen access

Abstract

This paper aims to establish the global existence of strong solutions to a non-isothermal ideal gas model. We first show global well-posedness in the Sobolev space H2(R3)H^2(\mathbb{R}^3) by using energy estimates. We then prove the global well-posedness for small-data solutions in the critical Besov space by using Banach's fixed point theorem.

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