CBMS Conference:The Cahn-Hilliard Equation: Recent Advances and Applications

CBMS 会议：Cahn-Hilliard 方程：最新进展和应用

• 批准号: 1836403
• 负责人: Gisele Goldstein
• 金额: $ 3.5万
• 依托单位: University of Memphis
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-09-01 至 2020-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1836403&HistoricalAwards=false
• 关键词: CBMS; Conference; Cahn; Hilliard; Equation

This NSF award supports a five day CBMS Conference on "The Cahn-Hilliard Equation: Recent Advances and Applications". The conference will be held at Montgomery Bell State Park's Conference Center and Inn, in Burns, Tennessee (about 30 miles outside of Nashville) from May 20-24, 2019. Professor Alain Miranville of the University of Poitiers (France) will deliver the main lecture series. Professor Miranville is an international expert in CH-type equations and applications and a world renowned expositor and lecturer. Miranville's ten lectures will take the participants on a journey through the subject beginning with the derivation of the equation and associated boundary conditions, through the analysis of the problems, numerical methods, and ending with cutting edge applications of Cahn-Hilliard (CH) type equations in fluid dynamics, image inpainting, and tumor growth. The main lectures will be supported by a diverse group of additional speakers and participants. There will be three panel discussions lead by the main lecturers: (1) attracting and training PhD students in applied differential equations and providing the appropriate interdisciplinary background, (2) open problems and applications of CH-type equations in the physical sciences, and (3) future directions for CH-type equations in radiology and tumor analysis. About 30 participants will be supported; women, minorities, graduate students, postdoctoral associates, junior faculty and faculty at primarily undergraduate institutions are encouraged to participate. Ample time and space for private discussions during the week is provided to lead to collaborations that continue to develop long after the conference concludes. The proposed lectures and panel discussions heavily emphasize open research problems across multiple scientific fields. The discovery that tumor growth can be effectively modeled using CH-type equations is recent and holds great promise. Applications in fluid dynamics and inpainting are equally promising and will be presented. This area promotes interactions among mathematicians, medical researchers, scientists and engineers. Professor Miranville will produce a monograph which will serve as the unique concise reference for the subject and its far reaching, cutting edge applications. For more information, please refer to the conference website: http:/www.memphis.edu/msci/cahn-hilliard-nsf-cbms2019This 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.

该 NSF 奖项支持为期五天的 CBMS 会议，主题为“Cahn-Hilliard 方程：最新进展和应用”。会议将于 2019 年 5 月 20 日至 24 日在田纳西州伯恩斯蒙哥马利贝尔州立公园会议中心和旅馆（距离纳什维尔约 30 英里）举行。普瓦捷大学（法国）的 Alain Miranville 教授将发表主要讲话讲座系列。 Miranville教授是CH型方程及其应用领域的国际专家，也是世界著名的阐释家和讲师。 Miranville 的十场讲座将带领参与者了解该主题，从方程和相关边界条件的推导开始，通过问题分析和数值方法，最后以 Cahn-Hilliard (CH) 型方程的前沿应用结束流体动力学、图像修复和肿瘤生长。 主要讲座将得到不同群体的其他演讲者和参与者的支持。主要讲师将主持三个小组讨论：（1）吸引和培养应用微分方程方面的博士生并提供适当的跨学科背景，（2）CH型方程在物理科学中的开放问题和应用，以及（ 3) CH型方程在放射学和肿瘤分析中的未来方向。将支持约30名参与者；鼓励妇女、少数族裔、研究生、博士后、初级教师和主要本科院校的教师参与。一周内提供充足的私人讨论时间和空间，以促进在会议结束后很长时间内继续发展的合作。 拟议的讲座和小组讨论重点强调跨多个科学领域的开放研究问题。最近发现可以使用 CH 型方程有效地模拟肿瘤生长，并且前景广阔。流体动力学和修复中的应用同样前景广阔，并将在会上展示。该领域促进数学家、医学研究人员、科学家和工程师之间的互动。米兰维尔教授将撰写一本专着，作为该主题及其深远、前沿应用的独特简明参考。欲了解更多信息，请参阅会议网站：http://www.memphis.edu/msci/cahn-hilliard-nsf-cbms2019该奖项反映了NSF的法定使命，通过使用基金会的智力优势和更广泛的评估，被认为值得支持影响审查标准。