The paper deals with the regularity criterion for the weak solutions to the 3D Boussinesq equations in terms of the partial derivatives in Besov spaces. It is proved that the weak solution (u; ) becomes regular provided that (∇hu;∇h) ∈ L 8 3 (0; T; B 1 1;1(R3)). Our results improve and extend the well-known results of Fang-Qian [13] for the Navier-Stokes equations.
A REGULARITY CRITERION TO THE 3D BOUSSINESQ EQUATIONS
Maria Alessandra RAGUSA
2019-01-01
Abstract
The paper deals with the regularity criterion for the weak solutions to the 3D Boussinesq equations in terms of the partial derivatives in Besov spaces. It is proved that the weak solution (u; ) becomes regular provided that (∇hu;∇h) ∈ L 8 3 (0; T; B 1 1;1(R3)). Our results improve and extend the well-known results of Fang-Qian [13] for the Navier-Stokes equations.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
SEMR-p1795-1804.pdf
accesso aperto
Tipologia:
Versione Editoriale (PDF)
Licenza:
PUBBLICO - Pubblico con Copyright
Dimensione
160.3 kB
Formato
Adobe PDF
|
160.3 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
