Conference: Recent advances in nonlinear Partial Differential Equations

“非线性偏微分方程的最新进展”会议将于2024年5月13日至5月17日在明尼苏达大学双城分校举行。这次会议为与会者提供了非常必要的机会，以跟踪PDE中一些最活跃的研究领域的重大发展。时间表经过精心安排，让初级参与者有充足的时间与他们感兴趣的领域的专家进行互动。将有一个海报会议，鼓励初级参与者展示他们自己的研究。关于职业发展的小组讨论和由专家领导的关于未决问题的会议将进一步加强与会者对会议的参与。演讲者将被要求允许录制他们的演讲，并将公开提供给更广泛的人。将特别注意从代表性不足的群体中招聘参与者。近年来，流体方程和变分(CVs)的研究取得了非常迅速和重大的进展。这次会议的特点是在流体方程和变分方面有广泛的活跃话题。具体来说，会议的科学主题包括(I)偏微分方程组的计算和计算机辅助证明，(Ii)凸积分技术及其应用，(Iii)欧拉方程和纳维斯托克斯方程的正则性理论，(Iv)高雷诺数区域的流体动力稳定性，(V)材料科学的变分计算。近年来，所有这些密切相关的领域都取得了重要突破。对于包括流体方程在内的偏微分方程组的许多分支来说，CVS是一个丰富的思想来源。人们希望，通过将这两个领域的专家聚集在一起，更有可能实现交叉受精。有关会议的详细后勤信息可以在https://cse.umn.edu/math/events/recent-advances-nonlinear-partial-differential-equations.This奖项上找到，该奖项反映了国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

The conference ``Recent Advances in Nonlinear Partial Differential Equations” will be held from May 13-May 17, 2024, at the University of Minnesota, Twin Cities. The conference provides much needed opportunities for the participants to keep track of the significant developments in some of the most active research areas in PDEs. The schedule is carefully arranged to allow junior participants ample time to interact with experts in their area of interest. There will be a poster session where junior participants are encouraged to present their own research. Panel discussions on career developments and experts-led sessions on open problems will further enhance the involvement of participants in the conference. Speakers will be asked for permission to record their talks that will be made publicly available for a wider accessibility. Special attention will be paid to advertise and recruit participants from underrepresented groups.The study of fluid equations and Calculus of Variations (CVs) is undergoing very rapid and significant progress in recent years. The conference features a wide scope of active topics in both fluid equations and calculus of variations. Specifically, the scientific themes of the conference include (i) Computation and Computer Assisted Proofs in PDEs, (ii) Convex Integration Techniques and its Applications, (iii) Regularity theory of the Euler and Navier Stokes equations, (iv) Hydrodynamic stability in high Reynolds number regime, (v) Calculus of Variations from material sciences. Important breakthroughs have been achieved in recent years in all these closely related areas. CVs is a fertile source of ideas for many branches of PDEs including fluid equations. It is hoped that by bringing together experts from both areas a cross-fertilization is more likely to occur. Detailed logistic information on the conference can be found at https://cse.umn.edu/math/events/recent-advances-nonlinear-partial-differential-equations.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.