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.
Original language | English |
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Pages (from-to) | 109-133 |
Number of pages | 25 |
Journal | Applications of Mathematics |
Volume | 60 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2015 |
Keywords
- Besov space
- Boussinesq system
- global regularity
- regularity criteria