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4 papers · 1 filter
Two regularity criteria for the 3D MHD equations
Chongsheng Cao, Jiahong Wu
This work establishes two regularity criteria for the 3D incompressible MHD equations. The first one is in terms of the derivative of the velocity field in one-direction while the…
Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
Chongsheng Cao, Jiahong Wu
Whether or not classical solutions of the 2D incompressible MHD equations without full dissipation and magnetic diffusion can develop finite-time singularities is a difficult issue…
A new solution representation for the BBM equation in a quarter plane and the eventual periodicity
John Meng-Kai Hong, Jiahong Wu, Juan-Ming Yuan
The initial- and boundary-value problem for the Benjamin-Bona-Mahony (BBM) equation is studied in this paper. The goal is to understand the periodic behavior (termed as eventual pe…
Low regularity solutions of two fifth-order KdV type equations
Wengu Chen, Junfeng Li, Changxing Miao +1
The Kawahara and modified Kawahara equations are fifth-order KdV type equations and have been derived to model many physical phenomena such as gravity-capillary waves and magneto-s…