Material theories. Abstracts from the workshop held December 15–21, 2013. (English) Zbl 1349.00137
Summary: The subject of this meeting was mathematical modeling of strongly interacting multi-particle systems that can be interpreted as advanced materials. The main emphasis was placed on contributions attempting to bridge the gap between discrete and continuum approaches, focusing on the multi-scale nature of physical phenomena and bringing new and nontrivial mathematics. The mathematical debates concentrated on nonlinear PDE, stochastic dynamical systems, optimal transportation, calculus of variations and large deviations theory.
MSC:
| 00B05 | Collections of abstracts of lectures |
| 00B25 | Proceedings of conferences of miscellaneous specific interest |
| 74-06 | Proceedings, conferences, collections, etc. pertaining to mechanics of deformable solids |
| 76-06 | Proceedings, conferences, collections, etc. pertaining to fluid mechanics |
| 74Axx | Generalities, axiomatics, foundations of continuum mechanics of solids |
| 74Bxx | Elastic materials |
| 74Cxx | Plastic materials, materials of stress-rate and internal-variable type |
| 74Nxx | Phase transformations in solids |
| 74Qxx | Homogenization, determination of effective properties in solid mechanics |
| 74Rxx | Fracture and damage |
| 76Rxx | Diffusion and convection |
References:
| [1] | P. Cattiaux and C. L’eonard. Minimization of the Kullback information of diffusion processes. Ann. Inst. H. Poincar’e Probab. Statist., 30(1):83–132, 1994. · Zbl 0790.60032 |
| [2] | M. H. Duong, M. A. Peletier, and U. Sharma. In preparation. |
| [3] | J. Feng and T. G. Kurtz. Large deviations for stochastic processes, volume 131 of Mathematical Surveys and Monographs. American Mathematical Society, 2006. |
| [4] | M. I. Freidlin and A. D. Wentzell. Random Perturbations of Hamiltonian Systems. American 3440Oberwolfach Report 59/2013 Hydrodynamics of active bacterial fluids Eric Cl’ement (joint work with Gaston Mino, Jeremie Gachelin, Annie Rousselet, Anke Lindner) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
