an:06419574
Zbl 1311.35236
Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan
Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum
EN
J. Nonlinear Sci. 25, No. 1, 157-192 (2015).
00342364
2015
j
35Q35 35B35 35B65 76D03 76W05 35Q86 86A10 76E06
Boussinesq equations; surface quasi-geostrophic equation; magnetohydrodynamics equations; damping; global regularity; small initial datum
Summary: In this paper, we consider the \(n\)-dimensional (\(n\geq 2\)) damped models of incompressible fluid mechanics in Besov spaces and establish the global (in time) regularity of classical solutions provided that the initial data are suitable small.