On the global regularity of N-dimensional generalized Boussinesq system.

Autor:	Yamazaki, Kazuo
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles Boussinesq system global regularity regularity criteria Besov space
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: We study the N-dimensional Boussinesq system with dissipation and diffusion generalized in terms of fractional Laplacians. In particular, we show that given the critical dissipation, a solution pair remains smooth for all time even with zero diffusivity. In the supercritical case, we obtain component reduction results of regularity criteria and smallness conditions for the global regularity in dimensions two and three.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink