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4 papers · 2 filters
Nonrigidity of a class of two dimensional surfaces with positive curvature and planar points
Abdelhamid Meziani
Nontrivial infinitesimal bendings for a class of two-dimensional surfaces are constructed. The surfaces considered here are orientable; compact; with boundary; have positive curvat…
On First and Second Order Planar Elliptic Equations with Degeneracies
Abdelhamid Meziani
This paper deals with elliptic equations in the plane with degeneracies. The equations are generated by a complex vector field that is elliptic everywhere except along a simple clo…
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…