Abstract
In this paper, we investigate the stability and large time behavior of some three dimensional Boussinesq equations with the horizontal dissipation in the horizontal velocity components and thermal damping. Due to the lack of vertical dissipation in the horizontal velocity components and full dissipation in the vertical velocity component, these problems becomes very challenging. Combining the higher order Sobolev norm of the velocity and the temperature and decay estimates of the lower order Sobolev norm of the velocity and the temperature, the stability issue and precise decay rates have been built. The most difficulty is to estimate L1-norm of ‖∇hu‖L∞ in time variable t.
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.
