UNIQUENESS THEOREMS FOR THE BOUSSINESQ SYSTEM

Lorenzo Brandolese (1) , Jiao He (1)

1 EDPA - Équations aux dérivées partielles, analyse

We address the uniqueness problem for mild solutions of the Boussinesq system in R 3. We provide several uniqueness classes on the velocity and the temperature, generalizing in this way the classical C([0, T ]; L 3 (R 3))-uniqueness result for mild solutions of the Navier-Stokes equations.

Domaines: Equations aux dérivées partielles [math.AP]

Lorenzo Brandolese, Jiao He. UNIQUENESS THEOREMS FOR THE BOUSSINESQ SYSTEM. 2018. ⟨hal-01908286v1⟩