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Partial Regularity for Higher Dimensional Landau—Lifshitz Systems
1 Initial Value Problem Let M be a m-dimensional compact, smooth, Riemannian manifold without boundary. For simplicity, we shall assume M = Rm in our proof since the general case can be handled inExpand
Exact Blow—up Solutions for Multidimensional Landau—Lifshitz Equations
We present exact blow-up solutions for multidimensionalLandau--Lifshitz equations. It is shown that for any prescribed blow-up timethere are exact C∞--solutions which are blow-up at the blow-upExpand
SPECTRAL METHOD FOR SOLVING TWODIMENSIONAL NEWTON-BOUSSINESQ EQUATIONS
In this paper, the spectral method for solving two-dimensional Newton-Boussinesq equations hasbeen proposed. The existence and uniqueness of global generalized solution for this equations, andExpand
Blow-up of solution for a generalized Boussinesq equation
This paper studies the initial boundary value problem for a generalized Boussinesq equation and proves the existence and uniqueness of the local generalized solution of the problem by using theExpand
Global attractor for Hasegawa-Mima equation
The long time behavior of solution of the Hasegawa-Mima equation with dissipation term was considered. The global attractor problem of the Hasegawa-Mima equation with initial periodic boundaryExpand
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