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.

会议``非线性偏微分方程的最新进展''将于2024年5月13日至5月13日在明尼苏达大学双城市举行。该会议为参与者提供了急需的机会，可以跟踪PDE中一些最活跃的研究领域的重大发展。仔细安排了时间表，以使初级参与者有足够的时间与他们感兴趣的专家互动。将有一个海报会议，鼓励初级参与者提出自己的研究。关于职业发展和专家领导的关于开放问题的讨论将进一步增强参与者参与会议的参与。将要求演讲者允许记录他们的演讲，以便公开可访问。将特别注意从代表性不足的群体中宣传和招募参与者。近年来，对流体方程式和变化计算（CVS）的研究正在非常迅速而重大进展。该会议在流体方程和变化的计算中都具有广泛的主题范围。具体而言，会议的科学主题包括（i）PDES中的计算和计算机辅助证明，（ii）凸集成技术及其应用，（iii）Euler和Navier Stokes方程的规律性理论，（IV）高雷诺德制度中的流体动力稳定性，（v）variations coldiations of Variations of Variations cals of Variations of Medials Sciences。近年来，在所有这些密切相关的领域中，都取得了重要的突破。简历是PDE许多分支在内的许多分支（包括流体方程）的肥沃思想来源。希望通过将这两个领域的专家汇集在一起​​，更有可能发生交叉利用。有关会议的详细逻辑信息，请参见https://cse.umn.edu/math/math/math/recent-advances-nonlinearear-partial-partial-differential-equations.this奖，这反映了NSF的法定任务，并通过评估该基金会的智力优点和广泛的影响来审查CRETIRIA，并通过评估来表现出珍贵的支持。