POWRE: Study of Model Equations for Water Waves

这项工作是通过妇女在研究和教育中的职业机会(POWRE)计划作为访问教授活动提供资金的。研究人员将研究各种水波模型方程。在研究描述非线性色散介质中双向波的Boussinesq系统的基础上，研究人员将从理论和数值上研究包含以下一个或多个因素的广义系统：a)来自底部地形和表面压力的外力。B)更精确的(高阶)系统；c)弱二维单向波(KP方程)；有或没有外强迫。D)有或无外力的弱二维双向波。

This work is funded through the Professional Opportunities for Women in Research and Education (POWRE) program as a Visiting Professorship activity. The investigator will study various model equations for water waves. Based on the investigation of the Boussinesq systems which describe bi-directional waves in a nonlinear dispersive media, the investigator will study theoretically and numerically the generalized systems which include one or more of the following factors a) the external forcing which come from the bottom topography and the surface pressure. b) more accurate (higher-order) systems; c) weakly two-dimensional uni-directional waves (KP-equations); with or without external forcing. d) weakly two-dimensional bi-directional waves, with or without external forcing.