Persistence of global well-posedness for the two dimensional Boussinesq system with non-homogeneous boundary. Issue 7 (19th May 2018)

• Record Type: Journal Article
• Authors: Su, Xing; Qin, Yuming
• Is Part Of: Applicable analysis. Volume 97:Issue 7(2018)
• Page Start: 1117
• Page End: 1128
• Publication Date: 2018-05-19
• Subjects: Persistence of global well-posedness -- Boussinesq system -- initial boundary value problem -- non-homogeneous boundary conditions; 35Q30 -- 35B30 -- 76D03; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2017.1303136
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: In this paper, we study the initial boundary value problem for the 2D Boussinesq system in a periodic channel with non-homogeneous boundary conditions, and prove that for any initial data ( u 0, θ 0 ) in H 1 + s × H 1 + s, where s ∈ ( 0, 1 ), the persistence of global well-posedness has been obtained.