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 in… Expand

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-up… Expand

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, and… Expand

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 the… Expand

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 boundary… Expand