Session Code: Y

Minisymposium Title: Microscopic, Mesoscale and Macroscale Models in Mechanics

Minisymposium Description: A variety of important physical processes involve the interaction of atomistic, mesoscopic and macroscopic scales. For example, in materials science, defects are often described by invoking atomistic, mesoscale or fully continuum principles of mechanics. The development of viable theories for such physical phenomena can be challenging, touching upon issues of modeling, scientific computation and mathematical analysis in deterministic or stochastic settings. The purpose of this minisymposium is to bring together researchers who work in diverse fields of mechanics with emphasis on understanding the synergy of different scales, from the atomistic to the full continuum

Minisymposium Organizer: Jianfeng Lu, New York University, USA, Dionisios Margetis, University of Maryland, College Park, USA

Irene Fonseca, Carnegie Mellon University, USA-Quantum Dots and Dislocations: Dynamics of Materials Defects
Mark Peletier, Technische Universiteit Eindhoven, The Netherlands-Challenges in the upscaling of dislocations
Yang Xiang, Hong Kong University of Science and Technology, Hong Kong-A Continuum Model for Dislocation Dynamics in Three Dimensions Using the Dislocation Density Potential Functions
Pierre-Emmanuel Jabin, University of Nice, France-Propagation of Chaos for Many Particle Systems with Diffusion in Velocity
Mark Wilkinson-On the Existence of Solutions to Euler's Equations of Rigid Body Mechanics
Qiang Du, Pennsylvania State University, USA-On the Coupling of Local and Nonlocal Models Through Local Interface Conditions
Benedikt K. Wirth, Rheinische Friedrich-Wilhelms-Universität Bonn, Germany-Phase Field Crystals Coupled with Continuum Elasticity
Shibin Dai-Coarsening dynamics for the Cahn-Hilliard equation with degenerate mobility


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