Abstract
We address the global regularity for the 2D Boussinesq equations with positive viscosity and zero diffusivity. We prove that for data (u0, ρ0) in Hs × Hs-1, where 1 < s < 2, the persistence of regularity holds, i.e., the solution (u(t), ρ(t)) exists and belongs to Hs ×Hs-1 for all positive t. Given the existing results, this provides the persistence of regularity for all s ≥ 0. In addition, we address the Hs × Hs persistence and establish it for all s > 1.
Original language | English (US) |
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Pages (from-to) | 111-124 |
Number of pages | 14 |
Journal | Asymptotic Analysis |
Volume | 91 |
Issue number | 2 |
DOIs | |
State | Published - 2015 |
Bibliographical note
Publisher Copyright:© 2015 - IOS Press and the authors. All rights reserved.
Keywords
- Boussinesq equations
- Navier-Stokes equations
- global existence
- regularity
- zero diffusivity