Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900080 | Journal of Mathematical Analysis and Applications | 2018 | 48 Pages |
Abstract
Considering the 2D regularized Boussinesq equations with fractional dissipations (Îαu,Îβθ) and convection terms (Îâγuâ
âu,Îâγuâ
âθ), where Î=âÎ and γâ¥0, we prove the global existence and uniqueness of the solution in two critical cases. The first case has fractional dissipations (Îαu,Îβθ), where α+β=1âγ,β>0, and the second one has particular dissipation (Î1âγu,0). In particular, for the case γ=0, we give some decay estimates for (θ,u) and the uniform estimate for G independent of time, where G=â1u2ââ2u1ââ1Îâαθ.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Daoyuan Fang, Wenjun Le, Ting Zhang,