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Uniqueness criteria and strong solutions of the Boussinesq equations in completely general domains. (English) Zbl 1320.35282

In this paper the author considers the instationary Boussinesq equations in a general three-dimensional domain. A strong solution is constructed and some uniqueness criterion are presented for the Boussinesq equations in general three-dimensional domains.
Reviewer: Cheng He (Beijing)

MSC:

35Q35 PDEs in connection with fluid mechanics
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
35D35 Strong solutions to PDEs
35D30 Weak solutions to PDEs
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