论文标题
许多水波模型
Many Models for Water Waves
论文作者
论文摘要
该文档是回忆录的公告和预览,其完整版本可在美国数学学会的开放数学笔记存储库中获得(OMN:202109.111309)。在这本回忆录中,我尝试为水波(主要是浅水)模型提供相当全面的图片。工作和演讲受到了D. Lannes书的重大启发,但将讨论扩展到多个方向,尤其是高级和完全分散模型以及内部/界面波。
This document is an announcement and preview of a memoir whose full version is available on the Open Math Notes repository of the American Mathematical Society (OMN:202109.111309). In this memoir, I try to provide a fairly comprehensive picture of (mostly shallow water) asymptotic models for water waves. The work and presentation is heavily inspired by the book of D. Lannes, yet extends the discussion into several directions, notably high order and fully dispersive models, and internal/interfacial waves.