this note, a regularity criterion of weak solutions to the 3D-Boussinesq equations with respect to Serrin type condition under the framework of Besov space :B r 1;1. It is shown that the weak solution (u; ) is regular on (0; T] if u satisfies ZT 0 ku(; t)k 2 1+r :B r 1;1 dt < 1; for 0 < r < 1. This result improves some previous works.
A regularity criterion of weak solutions to the 3D Boussinesq equations
RAGUSA, Maria Alessandra
2017-01-01
Abstract
this note, a regularity criterion of weak solutions to the 3D-Boussinesq equations with respect to Serrin type condition under the framework of Besov space :B r 1;1. It is shown that the weak solution (u; ) is regular on (0; T] if u satisfies ZT 0 ku(; t)k 2 1+r :B r 1;1 dt < 1; for 0 < r < 1. This result improves some previous works.File in questo prodotto:
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