论文标题
长时间存在的二维分散性BousSinesQ系统
Long time existence for a two-dimensional strongly dispersive Boussinesq system
论文作者
论文摘要
我们证明，二维布斯赛系统的解决方案是建模长而弱的非线性水波的传播的长期存在。从某种意义上说，这个系统是唯一的 BousSinesQ系统（ABCD）家族中的线性良好系统，其线性化系统的特征值具有非平凡的零。通过使用“良好的未知数”和正常形式技术来解决这个新的困难。
We prove a long time existence result for the solutions of a two-dimensional Boussinesq system modeling the propagation of long, weakly nonlinear water waves. This system is exceptional in the sense that it is the only linearly well-posed system in the (abcd) family of Boussinesq systems whose eigenvalues of the linearized system have nontrivial zeroes. This new difficulty is solved by the use of "good unknowns " and of normal form techniques.
