摘要
本文利用伽辽金方法,Leray-Schauder不动点定理和先验估计,证明了带周期外力和周期边界的非线性Kuramoto-Sivashinsky方程时间周期解的存在性。
In this paper, we study Kuramoto-Sivashinsky equation with periodic boundary condition. The existence and uniqueness of a time-periodic solution is proved by the Galerkin methed and Leray-Schauder fixed point theorem.
出处
《应用数学进展》
2013年第1期34-41,共8页
Advances in Applied Mathematics
