Remarks on Pressure Blow-Up Criterion of the 3D Zero-Diffusion Boussinesq Equations in Margin Besov Spaces. (24th April 2017)

• Record Type: Journal Article
• Authors: Fu, Min; Cai, Chao
• Other Names: Kurasov Pavel Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2017(2017)
• Publication Date: 2017-04-24
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2017/6754780
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : This study is focused on the pressure blow-up criterion for a smooth solution of three-dimensional zero-diffusion Boussinesq equations. With the aid of Littlewood-Paley decomposition together with the energy methods, it is proved that if the pressure satisfies the following condition on margin Besov spaces, π ( x, t ) ∈ L 2 / ( 2 + r ) ( 0, T ; B ˙ ∞, ∞ r ) for r = ± 1, then the smooth solution can be continually extended to the interval ( 0, T ⁎ ) for some T ⁎ > T . The findings extend largely the previous results.