Advances in Differential Equations
- Adv. Differential Equations
- Volume 18, Number 11/12 (2013), 1105-1128.
Global regularity of solutions to the Boussinesq equations with fractional diffusion
Zhaoyin Xiang and Wei Yan
Abstract
In this paper, we show the global existence of the classical solutions to the Boussinesq equations with fractional diffusion by using energy methods, the Fourier localization technique, and Bony's paraproduct decomposition.
Article information
Source
Adv. Differential Equations, Volume 18, Number 11/12 (2013), 1105-1128.
Dates
First available in Project Euclid: 4 September 2013
Permanent link to this document
https://projecteuclid.org/euclid.ade/1378327380
Mathematical Reviews number (MathSciNet)
MR3129019
Zentralblatt MATH identifier
1280.35117
Citation
Xiang, Zhaoyin; Yan, Wei. Global regularity of solutions to the Boussinesq equations with fractional diffusion. Adv. Differential Equations 18 (2013), no. 11/12, 1105--1128. https://projecteuclid.org/euclid.ade/1378327380