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Global existence of strong solution to non-isothermal ideal gas system
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Global existence of strong solution to non-isothermal ideal gas system
classification
math.AP
keywords
globalexistenceidealnon-isothermalsolutionsspacestrongwell-posedness
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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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