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

Arriving in Banff, Alberta Sunday, May 20 and departing Friday May 25, 2018

Organizers

(Carnegie Mellon University)

(Università di Pavia)

Objectives

This workshop will focus on the most recent developments and achievements in a broad range of topics in the Calculus of Variations, with an emphasis on its applications to material science and engineering.



Topics will include, but will not be limited to: 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 timeliness of this workshop is paramount. The field of Calculus of Variations is penetrating a plethora of theoretical and applied areas which would greatly benefit from the interchange of ideas that this workshop will facilitate. The workshop will bring together a group of worldwide experts in a variety of emerging areas in the Calculus of Variations. This will be an opportunity to report on the most recent advances in the field as well as to identify those research directions in which future progress is both likely and important. A substantial effort will be made to encourage young researchers to attend and participate.



Our specific objectives are: 1. To present the state of the art of modern methods in the Calculus of Variations and their applications in physical sciences and engineering. 2. To stimulate exchange of ideas, knowledge, and methods in the field. 3. To create a networking opportunity in order to strengthen existing collaborations and establish new ones. 4. To expose young researchers to the forefront of modern methods in the Calculus of Variations. 5. To provide an exceptional opportunity to young researchers of communicating their work and establishing new contacts in the international community.