流体力学中的稳定性理论研究

流体力学中的稳定性理论主要内容是研究流体力学方程（组）的特殊解（特殊的流动或者波）的稳定性或者不稳定性（包含线性稳定性和非线性稳定性等）。近年来，郭岩教授和林治武教授及其合作者在流体力学中的稳定性理论研究中取得一些具有重要国际影响的研究成果。拟邀请郭岩教授和林治武教授等数学家讲解流体力学中的稳定性理论，使国内年轻数学工作者与博士研究生尽快掌握相关的理论。与此同时，以天元高级讲习班为基础，为从事这一领域青年学者搭建一个合作交流的平台，促进国内非线性分析和PDEs的发展。

The stability theory in fluid mechanics mainly studies the stability or instability (including linear stability and nonlinear stability) of special solutions (special flows or waves) of hydrodynamic equations. In recent years, Professor Guo Yan, Professor Lin Zhiwu and their collaborators have made some research achievements with important international influence in the study of stability theory in fluid mechanics. It is planned to invite mathematicians such as Professor Guo Yan and Professor Lin Zhiwu to explain the stability theory in fluid mechanics, so that young domestic mathematicians and doctoral students can master relevant theories as soon as possible. At the same time, on the basis of the Tianyuan Advanced Workshop, it will build a platform for cooperation and exchange for young scholars engaged in this field, and promote the development of nonlinear analysis and PDEs in China.