The 50th John Barrett Memorial Lecture in 2020 on Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models.

该奖项支持学生、博士后、早期职业研究人员和代表性不足的群体参加将于2020年5月11日至13日在田纳西大学诺克斯维尔分校举行的约翰·巴雷特纪念讲座50周年。这个为期三天的研讨会将聚焦于“非局部非线性模型的近似、应用和分析”。非局部模型是一种相对较新的数学模型，已被证明对描述某些具有挑战性的物理现象非常有效，例如固体力学中的断裂。研讨会将汇集来自数学、计算科学和工程界的专家，他们不太可能在其他方面见面，但他们都从事非局部模型及其应用。这次会议将为交流思想提供一个平台。研讨会鼓励青年科学家和代表性不足的群体成员参与STEM。该奖项将为他们提供与研究非局部模型的领先研究人员互动和学习的机会，并在此过程中为下一代非局部理论研究人员的发展做出贡献。研讨会的技术重点是非局部模型的近似、应用和分析，这对数学和数值分析及其计算实现提出了新的挑战。最近的应用包括但不限于：热和质量扩散、非局部力学、模式形成、图像处理、自组织动力学、种群扩散、Levy战斗和跳跃过程。特邀演讲者和与会者将带来来自广泛相关领域的专业知识，包括：非局部和分数模型的数学和数值分析，数值方法和离散化方案，非局部模型的多尺度建模和自适应，非局部模型的软件实现，材料失效和损伤的周动力学模型，非局部传热和质量扩散，自然界中的异常输运，以及非局部建模有用的其他工程和科学应用。该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，认为值得支持。

This award supports the participation of students, postdocs, early career researchers, and under-represented groups seeking to attend the 50th anniversary of the John Barrett Memorial Lectures which will be held on May 11-13, 2020 at University of Tennessee, Knoxville. This three day workshop will be focused on "Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models". Nonlocal models are a type of mathematical model of relatively recent vintage that has proved to be very effective for describing certain challenging physical phenomena, such as fracture in solid mechanics. The workshop will bring together experts from the mathematical, computational scientific, and engineering communities who are very unlikely to meet otherwise, but nevertheless all work with nonlocal models and their applications. The meeting will provide a platform for the exchange of ideas. The workshop encourages the inclusion and participation of junior scientists and members of under-represented groups in STEM. This award will present them the opportunity to interact with and learn from leading researchers working with nonlocal models, along the way contributing towards the development of the next generation of researchers in nonlocal theories. The technical focuses of the workshop are on the approximation, applications and analysis of nonlocal models, which have presented new challenges to mathematical and numerical analysis, and their computational implementation. Recent applications include, but are not limited to: heat and mass diffusion, nonlocal mechanics, pattern formation, image processing, self-organized dynamics, population dispersal, Levy fights, and jump processes. Invited speakers and participants will bring expertise from a wide array of related fields, including: mathematical and numerical analysis of nonlocal and fractional model, numerical methods and discretization schemes, multi-scale modeling and adaptivity in nonlocal models, software implementation in nonlocal models, peridynamics models for material failure and damage, nonlocal heat transfer and mass diffusion, anomalous transport in nature, and other engineering and scientific applications in which nonlocal modeling is useful.The conference website is https://www.math.utk.edu/barrett/.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.