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奖支持为期五天的CBMS会议“ Cahn-Hilliard方程：最新进步和应用程序”。该会议将于2019年5月20日至24日在田纳西州伯恩斯（纳什维尔郊外约30英里）的蒙哥马利贝尔州立公园会议中心和旅馆举行。 Miranville教授是Ch-Type方程和应用方面的国际专家，也是世界知名的展览会和讲师。 米兰维尔（Miranville）的十个讲座将通过分析问题，数值方法的分析，并以Cahn-Hilliard（CH）类型方程在流体动力学，图像入入和Tumor增长中的最前沿应用程序结束，从而使参与者从方程式和相关边界条件的推导开始，使参与者进入主题的旅程。 主要的讲座将得到一组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）吸引和培训应用微分方程中的博士生，并提供适当的跨学科背景，（2）物理科学中CH-TYPE方程的开放问题和应用，以及（3）辐射学和tumolologol分析中CH-TYPE方程的未来指导。将支持大约30名参与者；鼓励妇女，少数民族，研究生，博士后伙伴，初级教师和教师主要是本科机构参加。在本周期间，提供了足够的时间和空间进行私人讨论，以导致会议结束后很长时间继续发展的合作。 拟议的讲座和小组讨论极大地强调了多个科学领域的开放研究问题。最近，可以使用CH型方程有效地对肿瘤生长进行建模的发现是最近的，并且具有巨大的希望。流体动力学和涂料中的应用同样有前途，并将提出。该领域促进了数学家，医学研究人员，科学家和工程师之间的互动。 Miranville教授将制作一本专着，将作为该主题及其遥远的尖端应用的独特简洁参考。有关更多信息，请参阅会议网站：http：/www.memphis.edu/msci/msci/cahn-hilliard-nsf-cbms2019奖，反映了NSF的法定任务，并被认为是值得通过基金会的知识分子优点和更广泛的影响来通过评估来获得支持的。