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

这个CBMS会议“非本地动力学-理论，计算和应用”将在伊利诺伊理工学院，芝加哥，在2017年6月4日至9日举行。 工程和科学中的各种复杂系统都处于长程或非局域相互作用下。人们越来越认识到包括非局部效应在更好地建模这些系统中的作用。因此，非局部偏微分方程是某些最优控制系统、晶体中的位错动力学、多孔介质流动、流体中粒子的反常分布以及许多其他系统的适当数学模型。非局部效应和长程扩散也发生在某些生物过程中的细胞密度演化中，如胚胎发育。为了更好地理解非局部工程和科学系统，我们必须理解非局部方程的性质。本次会议带来了一位顶级数学家作为首席讲师，以及来自相关数学和科学界的专家和新人，学习，研究和调查这一主题的理论和计算问题。非局部偏微分方程是研究长程相互作用下复杂系统的宏观模型。他们导致了许多数学上具有挑战性的问题，在接口的分析，计算，随机分析和偏微分方程。为了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。本次会议旨在总结该课题过去的研究成果，并讨论未来的研究方向。它进一步刺激研究的发展分析，动力学和计算工具的非局部模型及其应用。本次会议的主讲人是哥伦比亚大学的杜强教授。会议包括杜强的十场演讲，以及一些专家的补充报告，圆桌讨论和开放问题的会议。与会者包括来自区域和其他机构的研究生、博士后、初级研究人员和专家。欲了解更多信息，请参阅会议网页：www.math.iit.edu/nonlocaldynamics.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.