论文标题
随机的本杰明·巴诺·马动式型方程
A stochastic Benjamin-Bona-Mahony type equation
论文作者
论文摘要
本文考虑的是特定的非线性分散随机方程。它是最近在[3]中引入的,它是描述位置不确定性下的地表水波的模型。相应的噪声项是通过哈密顿的公式引入的,该公式保证了流动的能量保护。这里研究了初始值问题。
Considered herein is a particular nonlinear dispersive stochastic equation. It was introduced recently in [3], as a model describing surface water waves under location uncertainty. The corresponding noise term is introduced through a Hamiltonian formulation, which guarantees the energy conservation of the flow. Here the initial-value problem is studied.