Abstract
We consider the Dirichlet problem for the stationary Boussinesq system in a bounded smooth domain Ω in R n , where n = 2 or 3 . We first prove the existence of very weak solutions for arbitrarily large boundary data in W − 1 / q , q ( ∂ Ω ) × W − 1 / r , r ( ∂ Ω ) , provided that 3 ≤ q , r < ∞ if n = 3 and 2 < q , r < ∞ if n = 2 . The uniqueness of very weak solutions is also shown for sufficiently small data.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
