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

2020/12/04 by Brandolese, Lorenzo, Monniaux, Sylvie
#Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2012.02450

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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