the Natural Science Foundation of Henan Educational Committee(2003110005)
The global attractor problem of the long-short wave equations with periodic boundary condition was studied. The existence of global attractor of this problem was proved by means of a uniform a priori estimate for time.
Project supported by the Natural Science Foundation of Henan Educational Committee of China(No.2003110005)
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 condition was studied. A...
Supported by the Natural Science Foundation of Henan Educational Committee(2003110005);Supported by the Natural Science Foundation of Henan University(XK02069)
Applying the integral a priori estimates method, the existence and uniqueness ofthe global solution for the dissipative Hasegawa-Mima equation with initial periodic bound-ary condition was proved.
Supported by the Natural Science Foundation of Henan Educational Committee (2003110005) and Henan University (XK02069).
The long time behavior of the solutions of the generalized long-short wave equations with dissipation term is studied. The existence of global attractor of the initial periodic boundary value is proved by means of a u...
Supported by the Natural Science Foundation of Henan Educational Committee(2003110005);Supported by the Natural Science Foundation of Henan University(XK02069)
In this paper, the pseudo-spectral approximations for a class of the Kdv-Burgers type equation is presented. Convergence and stability of the approximation have been proved by Sobolev's inequalities and the bounded ex...