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Microstructures in Dynamic and Anisotropic Systems

Objectif

"Over the past decades, experimental and computational advances have revolutionised our understanding of matter on the atomistic (microscopic) scale. However, a computational analysis of problems involving multiple scales is difficult (often impossible ) and costly at best if very disparate scales have to be resolved simultaneously. Thus scale-bridging has become a central activity in physics, chemistry and biology; a rich mathematical theory underpinning this topic has been
developed over the last two decades in particular. However, two challenges which are central
for technological applications have not been resolved satisfactorily:
1) Materials with microstructures are typically anisotropic in a way which is difficult to analyse in detail with existing variational tools such as Gamma-convergence alone;
2) Out-of equilibrium effects such as those triggered by dynamics are poorly understood for materials with microstructures.
We will address these two challenges, which are linked by the focus on microstructures, by combining the expertise of the applicant, who is from the leading school of Gamma-convergence, with the expertise of the mentors on anisotropic problems and variational approaches for dynamics.
The project combines:
i) an effective description of oscillatory Hamiltonian systems. Objective: to develop a new approach of deriving effective descriptions of effective Hamiltonians.
ii) Analysis of phase transitions with internal microstructure. Objective: to establish new theories suitable to work with Gamma-convergence for problems with anisotropies."

Appel à propositions

FP7-PEOPLE-2012-IEF
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Coordinateur

UNIVERSITY OF BATH
Contribution de l’UE
€ 231 926,40
Adresse
CLAVERTON DOWN
BA2 7AY Bath
Royaume-Uni

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Région
South West (England) Gloucestershire, Wiltshire and Bristol/Bath area Bath and North East Somerset, North Somerset and South Gloucestershire
Type d’activité
Higher or Secondary Education Establishments
Contact administratif
Hazel Wallis (Ms.)
Liens
Coût total
Aucune donnée