Topics in the Calculus of Variations: Recent Advances and New Trends (18w5094)


(University of Pavia)

Giovanni Leoni (Carnegie Mellon University)


The Banff International Research Station will host the "Topics in the Calculus of Variations: Recent Advances and New Trends" workshop from May 20th to May 25th, 2018.

The Calculus of Variations is at the same time a classical area of mathematical analysis with long-standing open problems and a very active subject of modern mathematics, that has important applications in a variety of different fields, such as materials science, mathematical physics, and treatment of digitalized images, just to name a few examples. In the last decades this subject has enjoyed a flourishing development worldwide, driven both by mathematical developments and emergent applications.

This international workshop will bring together a group of worldwide experts in a variety of emerging areas in the Calculus of Variations to share recent results and discuss future research directions. Topics will include: inelastic behavior in solids (crack growth, plasticity, damage, cavitation, dislocation theory), surface diffusion and other geometric problems (problems of isoperimetric type, non-local energies of the Ohta-Kawasaki type), many-particle interaction, image processing, transport problems, multiscale problems, thin structures, dissipative and rate-independent flows.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).