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.

这一NSF奖项支持为期五天的“卡恩-希利亚德方程：最新进展和应用”的建立信任措施会议。会议将于2019年5月20日至24日在田纳西州伯恩斯(纳什维尔外约30英里)的蒙哥马利贝尔州立公园会议中心和酒店举行。法国普瓦蒂埃大学的阿兰·米兰维尔教授将主讲系列。米兰维尔教授是CH型方程和应用方面的国际专家，也是世界著名的讲师和讲师。米兰维尔的十场讲座将带领学员踏上主题之旅，从方程的推导和相关的边界条件开始，通过分析问题、数值方法，并以Cahn-Hilliard(CH)型方程在流体动力学、图像修复和肿瘤生长中的前沿应用结束。主要讲座将由不同的其他演讲者和参与者提供支持。主要讲师将主持三个小组讨论：(1)吸引和培训应用微分方程组的博士生，并提供适当的跨学科背景；(2)CH型方程在物理科学中的公开问题和应用；(3)CH型方程在放射学和肿瘤分析中的未来发展方向。将支持约30名参与者；鼓励妇女、少数民族、研究生、博士后助理、初级教职员工和主要本科院校的教职员工参与。会议提供了充足的时间和空间进行非公开讨论，以便在会议结束后很长一段时间内继续开展合作。拟议的讲座和小组讨论非常强调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，这一发现具有很大的前景。在流体力学和修复方面的应用同样很有前景，并将被介绍。这个领域促进了数学家、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著，作为这一主题及其深远、前沿应用的独特简明参考。更多信息，请参考会议网站：http:/www.memphis.edu/msci/cahn-hilliard-nsf-cbms2019This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。