CBMS Conference: Nonlocal Dynamics--Theory, Computation and Applications

本次CBMS会议“非局部动力学--理论、计算和应用”将于2017年6月4日至9日在芝加哥伊利诺伊理工学院举行。工程和科学中的各种复杂系统都处于远程或非局部相互作用下。越来越多的人认识到，在对这些系统进行更好的建模时，应考虑非局部效应。因此，非局部偏微分方程组是某些最优控制系统、晶体中位错动力学、多孔介质流动、流体中颗粒的反常扩散以及许多其他系统的合适的数学模型。在某些生物过程中，如胚胎发育过程中，细胞密度的演化也会发生非局域效应和远程扩散。为了更好地理解非局部工程和科学系统，我们必须了解非局部方程的性质。本次会议邀请了一位顶尖数学家作为主要讲师，与来自相关数学和科学界的专家和新人一起，学习、研究和研究这一学科的理论和计算问题。非局部偏微分方程是复杂系统在长程相互作用下的宏观模型。它们在分析、计算、随机分析和偏微分方程的界面上引发了许多具有数学挑战性的问题。要实现非局部方程作为复杂系统数学模型的全部功能，分析和数值逼近是至关重要的。本次会议旨在总结过去该课题的研究成果，并讨论未来的研究方向。它进一步促进了为非局部模型及其应用开发分析、动力学和计算工具的研究。本次会议的首席讲师是哥伦比亚大学杜强教授。会议包括10场由强度主持的讲座，以及几位专家的补充报告、圆桌讨论和一次关于开放问题的会议。参与者包括研究生、博士后、初级研究人员以及来自地区和其他机构的专家。欲了解更多信息，请参阅会议网页：www.math.iit.edu/non-localDynamics.html。

This CBMS Conference "Nonlocal Dynamics--Theory, Computation and Applications" is to be held at Illinois Institute of Technology, Chicago, during June 4-9, 2017. Various complex systems in engineering and science are under long range or nonlocal interactions. There is a growing recognition of a role for including nonlocal effects in better modeling these systems. As a result, nonlocal partial differential equations are appropriate mathematical models for certain optimal control systems, dislocation dynamics in crystals, porous media flows, anomalous dffusion of particles in fluids, and many other systems. Nonlocal effects and long range diffusion also occur in the cell density evolution in certain biological processes, such as embryological development. In order to better understand nonlocal engineering and scientific systems, we must understand the properties of nonlocal equations. This conference brings a top mathematician as the principal lecturer, together with experts and newcomers from relevant mathematical and scientific communities, to learn, examine and investigate theoretical and computational issues in this subject. Nonlocal partial differential equations are macroscopic models for complex systems under long range interactions. They have led to many mathematically challenging questions at the interface of analysis, computation, stochastic analysis and partial differential equations. To realize the full power of nonlocal equations as mathematical models for complex systems, analysis and numerical approximations are crucial. This conference aims to summarize the past achievements in this subject, and discuss future research directions. It further stimulates research in the development of analytical, dynamical and computational tools for nonlocal models and their applications. The Principal Lecturer for this conference is Professor Qiang Du at Columbia University. The conference consists of ten lectures by Qiang Du, together with supplemental presentations by a few experts, round table discussions, and a session on open problems. The participants include graduate students, postdocs, junior researchers and experts from regional and other institutions. For more information, please refer to the conference webpage: www.math.iit.edu/nonlocaldynamics.html.