Title
Boussinesq system with non-homogeneous boundary conditions
Abstract
A classical stationary Boussinesq system with non-homogeneous Dirichlet boundary conditions in a bounded domain Ω⊂R3 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 Lp-theory. Uniqueness of the very weak solution is proved under a small data assumption.
Year
DOI
Venue
2016
10.1016/j.aml.2015.09.015
Applied Mathematics Letters
Keywords
Field
DocType
Boussinesq system,Dirichlet boundary conditions,Existence,Uniqueness,Lp-regularity
Boundary value problem,Uniqueness,Mathematical optimization,Small data,Mathematical analysis,Dirichlet boundary condition,Weak solution,Mathematics,Bounded function,Mixed boundary condition,Boussinesq approximation (water waves)
Journal
Volume
ISSN
Citations 
53
0893-9659
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Paul Acevedo100.34
Chérif Amrouche212.65
Carlos Conca34410.79