ANAMULTISCALE

Analysis of Multiscale Systems Driven by Functionals

Coordinatore	FORSCHUNGSVERBUND BERLIN E.V.    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	Germany [DE]
Totale costo	1˙390˙000 €
EC contributo	1˙390˙000 €
Programma	FP7-IDEAS-ERC Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	ERC-2010-AdG_20100224
Funding Scheme	ERC-AG
Anno di inizio	2011
Periodo (anno-mese-giorno)	2011-04-01   -   2017-03-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	FORSCHUNGSVERBUND BERLIN E.V.  Organization address address: Rudower Chaussee 17 city: BERLIN postcode: 12489 contact info Titolo: Dr. Nome: Friederike Cognome: Schmidt-Tremmel Email: send email Telefono: +49 30 63923481 Fax: +49 30 63923333	DE (BERLIN)	hostInstitution	1˙390˙000.00
2	FORSCHUNGSVERBUND BERLIN E.V.  Organization address address: Rudower Chaussee 17 city: BERLIN postcode: 12489 contact info Titolo: Prof. Nome: Alexander Cognome: Mielke Email: send email Telefono: 493020000000 Fax: 49302044975	DE (BERLIN)	hostInstitution	1˙390˙000.00

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 Obiettivo del progetto (Objective)

'Many complex phenomena in the sciences are described by nonlinear partial differential equations, the solutions of which exhibit oscillations and concentration effects on multiple temporal or spatial scales. Our aim is to use methods from applied analysis to contribute to the understanding of the interplay of effects on different scales. The central question is to determine those quantities on the microscale which are needed to for the correct description of the macroscopic evolution. We aim to develop a mathematical framework for analyzing and modeling coupled systems with multiple scales. This will include Hamiltonian dynamics as well as different types of dissipation like gradient flows or rate-independent dynamics. The choice of models will be guided by specific applications in material modeling (e.g., thermoplasticity, pattern formation, porous media) and optoelectronics (pulse interaction, Maxwell-Bloch systems, semiconductors, quantum mechanics). The research will address mathematically fundamental issues like existence and stability of solutions but will mainly be devoted to the modeling of multiscale phenomena in evolution systems. We will focus on systems with geometric structures, where the dynamics is driven by functionals. Thus, we can go much beyond the classical theory of homogenization and singular perturbations. The novel features of our approach are - the combination of different dynamical effects in one framework, - the use of geometric and metric structures for coupled partial differential equations, - the exploitation of Gamma-convergence for evolution systems driven by functionals.'