As our research program in the framework of the granted funds is driven by applications, different mathematical areas are involved, starting with PDEs and the Calculus of Variations. Current applications relate to Materials Science and the Design of Nanostructures. Our main focus is on providing advancements in the understanding of crystal interfaces by means of analytically validating models from Continuum, Molecular, and Statistical Mechanics. The involved techniques include configurational-energy minimization, $\Gamma$-convergence, isoperimetric inequalities, partial regularity, and minimizing-movements.
Shohruh Kholmatov holds today a seminar at the PDE afternoon at TU Wien on
Check out the webpage of our ESI workshop Modeling of Crystalline Interfaces and Thin Film Structures: a Joint Mathematics-Physics Symposium that will take place at ESI (11-15.11.2019)!
The proposal for a workshop organized together with Ulrike Diebold and Irene Fonseca has been accepted by the Erwin Schrödinger International institute (ESI), Vienna and it will host on 11-15.11.2019!
Shohruh Kholmatov was awarded a Lise-Meitner Project on "Liquid and crystalline films: wetting and evolution" by FWF. Congratulation Shohruh!