一维Benny方程的初边值问题

The initial boundary value problem for one-dimensional Benny equation

研究一维Benny方程 u_t+u_(xxxx)+δu_(xxx)+u_(xx)=f(u)_x+g(u)的初边值问题,证明了问题的整体解的存在性及唯一性。

This paper studies the initial boundary value problem for one-dimensional Benny equation The existence and uniqueness of the global generalized solution for the problem are proved by means of integration estimation and the contraction mapping argument.