The nonlinear Galerkin method and the Galerkin method for K-S (Kuramoto-Sivashinsky) equation are considered. Convergence results and L2 estimates are derived for bothmethods.

• 该文讨论了关于K-S方程的伽辽金方法和非线性伽辽金方法的收敛性和L2误差估计；并得出误差阶一致的结论.