【廿周年院庆学术报告95】· 【和山数学论坛第379期】
报告题目：Interactions of two-dimensional internal solitary waves in a three-layer fluid via the KP system and physics-informed neural networks
报告人：唐晓艳教授
时间：2023年9月8日（周五）14：40-15：20
地点：闻理园A3-217
报告摘要：Two-dimensional internal solitary waves in a three-layer fluid with free surface, shear flow and continuous density distribution is studied via the (2+1)-dimensional Kadomtsev-Petviashvili (KP) model analytically and numerically. The KP equation is established with its coefficients defined by the vertical distribution of fluid density, shear flow, and layer depth. Their effects on the interactions of internal solitary waves and reasonable stratification are specifically investigated. The two-dimensional “bright” and “dark” interactions are firstly discovered in a three-layer fluid. A new improved loss function is introduced in the physics-informed neural networks (PINN) to capture data-driven two-dimensional internal solitary wave-wave interactions.
报告人简介：唐晓艳，华东师范大学教授，博士生导师。2004年毕业于上海交通大学毕业后留校任教，2014年调至华东师范大学工作。主要从事非线性物理与可积系统方面的研究，主持国家自然科学基金、高等学校博士学科点专项科研基金、教育部留学回国人员科研启动基金、上海市青年科技启明星计划等研究课题10余项。在《J Math Phys》、《Phys Rev E》、《Stud Appl Math》等国外重要刊物上发表论文100余篇，曾获上海市科技进步二等奖和教育部高等学校自然科学一等奖（均排名第二）。
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