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- Title
Global existence and exponential decay of strong solutions for the three-dimensional Boussinesq equations.
- Authors
Shang, Zhaoyang; Tang, Fuquan
- Abstract
In this paper, we consider the global existence of strong solutions to the three-dimensional Boussinesq equations on the smooth bounded domain Ω. Based on the blow-up criterion and uniform estimates, we prove that the strong solution exists globally in time if the initial L 2 -norm of velocity and temperature are small. Moreover, an exponential decay rate of the strong solution is obtained.
- Publication
Journal of Inequalities & Applications, 2020, Vol 2020, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-020-02315-x