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

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

We establish the existence and the uniqueness for the Boussinesq system in โ„ 3 in the critical space ๐’ž([0,T],L 3 (โ„ 3 ) 3 )ร—L 2 (0,T;L 3/2 (โ„ 3 )).