Conference: Recent advances in nonlinear Partial Differential Equations

会议：非线性偏微分方程的最新进展

• 批准号: 2346780
• 负责人: Hao Jia
• 金额: $ 4.4万
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2024
• 资助国家: 美国
• 起止时间: 2024-04-01 至 2025-03-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2346780&HistoricalAwards=false
• 关键词: Conference; Recent; advances; nonlinear; Partial

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.

“非线性偏微分方程的最新进展”会议将于 2024 年 5 月 13 日至 17 日在明尼苏达大学双城分校举行。该会议为与会者提供了跟踪重大进展的急需机会。在偏微分方程中一些最活跃的研究领域，日程安排经过精心安排，以便初级参与者有足够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开放问题的会议将进一步提高与会者对会议的参与度，并将特别关注将其演讲记录下来以供更广泛的人使用。近年来，流体方程和变分微积分（CV）的研究正在取得非常迅速和显着的进展，会议在流体方程和变分微积分方面讨论了广泛的活跃主题。具体来说，会议的科学主题包括（i）偏微分方程中的计算和计算机辅助证明，（ii）凸积分技术及其应用，（iii）欧拉和纳维斯托克斯方程的正则理论，（iv）高雷诺数状态下的水动力稳定性，（v）微积分近年来，所有这些密切相关的领域都取得了重要突破，它是包括流体方程在内的许多偏微分方程的丰富思想来源。希望通过汇集两个领域的专家，更有可能发生会议的详细后勤信息：https://cse.umn.edu/math/events/recent-advances-nonlinear-partial。 -微分方程。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。