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arXiv · 2304.14716

Glimm's method and density of wild data for the Euler system of gas dynamics

Elisabetta Chiodaroli·Eduard Feireisl
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Abstract

We adapt Glimm's approximation method to the framework of convex integration to show density of wild data for the (complete) Euler system of gas dynamics. The desired infinite family of entropy admissible solutions emanating from the same initial data is obtained via convex integration of suitable Riemann problems pasted with local smooth solutions. In addition, the wild data belong to BV class.

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Elisabetta Chiodaroli, Eduard Feireisl. 2023-04-28. Glimm's method and density of wild data for the Euler system of gas dynamics. https://arxiv.org/abs/2304.14716

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