MISANU

PROGRAM

ODELJENJE ZA MATEMATIKU
MATEMATIČKOG INSTITUTA SANU

PROGRAM ZA FEBRUAR 2021.

Petak, 19.02.2021. u 14:15, Online
Vlada Limić, Univerzitet u Strazburu
MULTIPLICATIVE COALESCENTS: AN INTRODUCTION
About 25 years ago a celebrated work by Aldous introduced a scaling limit (of component sizes) of near-critical Erdös-Renyi random graphs. In this talk my aim will be to explain the basic ideas of this work and theory which stemmed from it.

Petak, 26.02.2021. u 14:15, Online
Siniša Đ. Mesarović, Washington State University, SAD
PHYSICAL FOUNDATIONS OF MESOSCALE CONTINUA
Assume that the physics on the microscale (interactions between atoms, molecules, defects in crystals ...) is understood. What is the appropriate mesoscale continuum theory for the problem? What are the assumptions involved and how do they define the limitations of the continuum model? To answer these questions, we begin with the definition of mesoscale continuum kinematics from the microscale kinematics. The geometry of micro-structure (e.g., order vs. disorder) has a decisive role in defining the continuum kinematics. We thus arrive at three kinematic formulations: mass continuum, lattice continuum and granular continuum. Then, upon formulating the power balance, we use the principle of virtual power to arrive at a variety of mathematical formulations: simple continuum with moving boundaries, phase field formulation, and, a higher order, size-dependent continuum. The problems considered include: mixing of fluids and capillary flows, granular flow/deformation, and, polycrystalline diffusional/dislocation creep accompanied by dislocation plasticity.
Zajednički sastanak odeljenja za matematiku i mehaniku

Obavezno je nošenje maski i održavanje distance. Broj prisutnih na predavanju ograničen na najviše 10 (uključujući i predavača).

Odeljenje za matematiku je opsti matematicki seminar namenjen sirokoj publici. Predavanja su prilagodjena matematicarima i onima koji zele da to postanu.

Zoran Petric, Odeljenje za matematiku Matematickog instituta SANU