本平台将围绕偏微分方程及其应用中的重大研究课题进行研究。平台将聚焦于针对退化偏微分方程的研究、动理学方程研究、流体力学方程组研究、生物数学中的偏微分方程建模控制和计算研究、材料计算中的多尺度方法研究、偏微分方程最优控制问题、磁流体力学方程组的大规模科学计算研究、应用概率的方法来解决分析中的问题、从大偏差的角度通过排它过程和随机增长模型的标度极限研究著名的非线性KPZ方程等学术前沿问题。本平台将以武汉大学数学与统计学院的固定人员与国际国内访问学者相结合的方式，将通过短期课程、讲座、研讨班及国际会议等形式凝聚国内相关研究队伍，加强国内外多领域专家的学术交流，凝练科学问题，促进实质性的合作研究，形成优势学科方向，推动学科发展，引导年轻人进入学科前沿，进而形成偏微分方程及其应用的重要平台。

Our research will focus on important problems of fundamental research in partial differential equations and also problems arisen from the areas of PDEs. In particular, we will focus on the research related to degenerated PDE、kinectic equations、system of fluid equations、mathematical biology、multiscale methods on computational materials science、optimal problems of PDEs、magnetic hydrodynamic equations、KPZ equations、and applying probabilistic methods to solve problems in analysis, etc. We will collaborate with international/domestic research institutes and scholars. Short courses, lectures、 seminars、 and international conferences will be organized by faculties of Wuhan University as well as domestic and international scholars. It is expected that by gathering related domestic research teams, strengthening academic exchanges, forming scientific problems, promoting substantial cooperation, this project will promote the development of these disciplines, cultivate young academic talented scholars, and form an important.platform on the study of PDEs and their applications.