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arXiv · 1903.11687

On uniqueness of dissipative solutions to the isentropic Euler system

Eduard Feireisl·Shyam Sundar Ghoshal·Animesh Jana
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Abstract

The dissipative solutions can be seen as a convenient generalization of the concept of weak solution to the isentropic Euler system. They can be seen as expectations of the Young measures associated to a suitable measure--valued solution of the problem. We show that dissipative solutions coincide with weak solutions starting from the same initial data on condition that: {\bf (i)} the weak solution enjoys certain Besov regularity; {\bf (ii)} the symmetric velocity gradient of the weak solution satisfies a one--sided Lipschitz bound.

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Eduard Feireisl, Shyam Sundar Ghoshal, Animesh Jana. 2019-03-27. On uniqueness of dissipative solutions to the isentropic Euler system. https://arxiv.org/abs/1903.11687

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