Boussinesq system with non-homogeneous boundary conditions. (March 2016)

• Record Type: Journal Article
• Authors: Acevedo, Paul; Amrouche, Chérif; Conca, Carlos
• Is Part Of: Applied mathematics letters. Volume 53(2016:Mar.)
• Page Start: 39
• Page End: 44
• Publication Date: 2016-03
• Subjects: Boussinesq system -- Dirichlet boundary conditions -- Existence -- Uniqueness -- Lp-regularity; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2015.09.015
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: A classical stationary Boussinesq system with non-homogeneous Dirichlet boundary conditions in a bounded domain Ω ⊂ R 3 is considered in this paper; included is the case of a possibly disconnected boundary. We prove existence of a weak, a strong and a very weak solution in L p -theory. Uniqueness of the very weak solution is proved under a small data assumption.