标题： 强迫波在低粘性 regime 中的长期演化 显示英文标题

标题： Long-time evolution of forced waves in the low viscosity regime

摘要： 我们考虑一个由零阶伪微分哈密顿量$P$描述的内部波模型，该模型被二阶粘性项$i \nu Q$所阻尼。 在经典动力学上具有莫尔斯-斯梅尔或类似较弱的整体条件的情况下，我们描述了对应演化方程在小$\nu$范围内平滑激励下的解的长期行为。 我们证明，耗散效应最早出现在$t\sim \nu^{-1/3-}$时间尺度上。 显示英文摘要

摘要： We consider a model for internal waves described by a zero order pseudo-differential Hamiltonian $P$ damped by a second order viscosity term $i \nu Q$. Under Morse-Smale or similar weaker global conditions on the classical dynamics, we describe qualitatively the long-time behavior of solutions of the corresponding evolution equation with smooth forcing in a small $\nu$ regime. We show that dissipation effects arise no earlier than at the $t\sim \nu^{-1/3-}$ time scale.