Advances in Differential Equations

Global regularity of solutions to the Boussinesq equations with fractional diffusion

Zhaoyin Xiang and Wei Yan

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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

Subjects
Primary: 35Q 76D

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


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Advances in Differential Equations

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