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arXiv · 2203.08365

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

Bin Han·Ning-An Lai·Andrei Tarfulea
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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 $H^2(\mathbb{R}^3)$ 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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Bin Han, Ning-An Lai, Andrei Tarfulea. 2022-03-16. Global existence of strong solution to non-isothermal ideal gas system. https://arxiv.org/abs/2203.08365

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