Abstract
This paper investigates the Cauchy problem for inhomogeneous Boussinesq equations with the data in the scaling invariant Besov spaces: . We shall prove under some smallness assumption on the data: , Boussinesq equations with partial viscosity exists a unique global solution, where we extend recent results as regards the conditions for uniqueness. Using Lagrangian coordinates enables us to solve the nonhomogeneous Boussinesq equations by means of the contraction mapping theorem.
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.
