Consider the instationary Boussinesq equations in a completely general domain Ω ⊆ R^3 and a time interval [0,T[ . We deal with existence of strong solutions of the Boussinesq equations. These results will be used to prove uniqueness criteria for the Boussinesq equations which are based on the local or global identification of a weak solution with a strong solution.
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Christian Komo (2015) studied this question.