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子城举行。这次会议为与会者提供了非常需要的机会，使他们能够了解方案设计方案中一些最活跃的研究领域的重大发展。日程是精心安排的，让初级参与者有充足的时间与他们感兴趣的领域的专家互动。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主持的关于公开问题的会议将进一步加强与会者对会议的参与。发言者将被要求允许录制他们的讲话，这些讲话将公开提供，以便更广泛地访问。将特别注意宣传和招募代表人数不足的群体的参加者。近年来，流体方程和变分法的研究取得了非常迅速和显著的进展。会议的特点是在流体方程和变分演算两方面都有广泛的活跃话题。具体来说，会议的科学主题包括(i)偏微分方程的计算和计算机辅助证明，（ii）凸积分技术及其应用，（iii）欧拉和纳维耶斯托克斯方程的规则理论，（iv）高雷诺数状态下的流体动力稳定性，(v)材料科学的变分学。近年来，在所有这些密切相关的领域都取得了重要突破。cv是包括流体方程在内的许多偏微分方程分支的丰富思想来源。希望通过将这两个领域的专家聚集在一起，更有可能实现相互借鉴。有关会议的详细后勤信息可在https://cse.umn.edu/math/events/recent-advances-nonlinear-partial-differential-equations.This上找到。奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值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.