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

这项NSF奖励支持为期五天的CBMS会议，主题是“卡恩-希利亚德方程：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的蒙哥马利贝尔州立公园会议中心和酒店举行（距离纳什维尔约30英里）。法国普瓦捷大学的阿兰·米兰维尔教授将主讲系列讲座。Miranville教授是ch型方程及其应用的国际专家，也是世界知名的说明者和讲师。Miranville的十堂课将带领学员从方程和相关边界条件的推导开始，通过问题分析、数值方法，最后以流体动力学、图像绘制和肿瘤生长中的Cahn-Hilliard （CH）型方程的前沿应用结束。主要讲座将由不同群体的其他演讲者和参与者提供支持。会议将有三个小组讨论，由主讲人主持：(1)吸引和培养应用微分方程的博士生，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性问题和应用；(3)ch型方程在放射学和肿瘤分析中的未来方向。约30名参加者将获资助；鼓励妇女、少数民族、研究生、博士后、初级教师和主要本科院校的教师参加。在这一周内，为私人讨论提供了充足的时间和空间，以促成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着重强调跨多个科学领域的开放性研究问题。最近发现肿瘤生长可以用ch型方程有效地建模，这一发现具有很大的前景。在流体动力学和绘画方面的应用同样有前景，并将介绍。这一领域促进数学家、医学研究人员、科学家和工程师之间的互动。Miranville教授将出版一本专著，作为该学科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-cbms2019This该奖项反映了美国国家科学基金会的法定使命，并通过基金会的智力价值和更广泛的影响审查标准进行评估，认为值得支持。

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.