Institute of Mathematics

The project is supported by the "Programme to support prospective human resources – post Ph.D. candidates" funded by the Czech Academy of Sciences.

Objectives:

The main objective of the project is to establish a new theory of dynamics of sweeping processes with applications to natural sciences and network models. The directions (research activities) for the development of such a theory are:
1. A problem of elastoplastic evolution of mechanical networks: the case of large deformations for 2D and 3D networks and quasistatic solution as a limit of a dynamic problem.
2. Applications of non-convex sweeping process to piezoelectricity and magnetostriction.
3. Finite-time stability of the solutions of a sweeping process.

 Main investigator:

Gudoshnikov Ivan

 Participating institutions:

Institute of Mathematics, Czech Academy of Sciences

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