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arXiv · 2012.02450

Well-posedness for the Boussinesq system in critical spaces via maximal regularity

Lorenzo Brandolese·Sylvie Monniaux
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Abstract

We establish the existence and the uniqueness for the Boussinesq system in the whole 3D space in the critical space of continuous in time with values in the power 3 integrable in space functions for the velocity and square integrable in time with values in the power 3/2 integrable in space.

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Lorenzo Brandolese, Sylvie Monniaux. 2020-12-04. Well-posedness for the Boussinesq system in critical spaces via maximal regularity. https://arxiv.org/abs/2012.02450

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