耗散的量子Zakharov方程解的渐进性行为

Asymptotic Behavior of the Solutions for Dissipative Quantum Zakharov Equations

主要研究量子Zakharov方程.在先验估计的基础上通过标准的Galerkin逼近方法得到了量子Zakharov方程解的存在唯一性.同时,也讨论了相应的解的渐进性行为,并且构造出在不同的能量空间上弱拓扑意义下的全局吸引子.

The dissipative quantum Zakharov equations were mainly studied. The existence and uniqueness of the solutions for dissipative quantum Zakharov equations were proved by the standard Galerkin approximation method on the basis of a priori estimates. Meanwhile, the asymptotic behavior of solutions and the global attractor which was constructed in energy space equipped with weak topology were also investigated.