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3 projets européens trouvés

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 TERMINÉ 

Analysis of Multiscale Systems Driven by Functionals (ANAMULTISCALE)

Date du début: 1 avr. 2011, Date de fin: 31 mars 2017,

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 ...
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 1

 TERMINÉ 

Entropy formulation of evolutionary phase transitions (ENTROPHASE)

Date du début: 1 avr. 2011, Date de fin: 31 mars 2017,

The ground-breaking nature of the project relies on the possibility of opening new horizonswith a novel mathematical formulation of physical problems.The project aim is indeed to obtain relevant mathematical results in order toget further insight into new models for phase transitions and thecorresponding evolution PDE systems. The new approach presented here turnsout to be particularly helpful wi ...
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 3

 TERMINÉ 

Elliptic Pdes and Symmetry of Interfaces and Layers for Odd Nonlinearities (EPSILON)

Date du début: 1 janv. 2012, Date de fin: 31 déc. 2016,

The scope of this project is to perform an analytical study of the geometric properties of the interafaces arising in the scalar Ginzburg-Landau-Allen-Cahn equation, with particular attention to possible 1D symmetries.Also, we would like to analyze the cases in which the operator is singular, degenrate, subelliptic or fractional and to obtain results for PDEs in manifold and in inverse overdetermi ...
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 3