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Entropy formulation of evolutionary phase transitions

Objective

The ground-breaking nature of the project relies on the possibility of opening new horizons
with a novel mathematical formulation of physical problems.
The project aim is indeed to obtain relevant mathematical results in order to
get further insight into new models for phase transitions and the
corresponding evolution PDE systems. The new approach presented here turns
out to be particularly helpful within the investigation of issues like as existence, uniqueness,
control, and long-time behavior of the solutions for such evolutionary PDEs.

Moreover, the importance of the opportunity to apply such new theory to phase transitions lies
in the fact that such phenomena arise in a variety of applied problems like, e.g.
melting and freezing in solid-liquid mixtures, phase changes in solids, crystal growth, soil freezing,
damage in elastic materials, plasticity, food conservation, collisions, and so on. From
the practical viewpoint, the possibility to describe these phenomena in a quantitative way
has deeply influenced the technological
development of our society, stimulating the related mathematical interest.

Call for proposal

ERC-2010-StG_20091028
See other projects for this call

Funding Scheme

ERC-SG - ERC Starting Grant

Host institution

UNIVERSITA DEGLI STUDI DI PAVIA
Address
Strada Nuova 65
27100 Pavia
Italy
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 42 276,50
Principal investigator
Elisabetta Rocca (Prof.)
Administrative Contact
Sofia Baggini (Ms.)

Beneficiaries (3)

UNIVERSITA DEGLI STUDI DI PAVIA
Italy
EU contribution
€ 42 276,50
Address
Strada Nuova 65
27100 Pavia
Activity type
Higher or Secondary Education Establishments
Principal investigator
Elisabetta Rocca (Prof.)
Administrative Contact
Sofia Baggini (Ms.)
UNIVERSITA DEGLI STUDI DI MILANO

Participation ended

Italy
EU contribution
€ 255 397,56
Address
Via Festa Del Perdono 7
20122 Milano
Activity type
Higher or Secondary Education Establishments
Administrative Contact
Luisa Mondina (Dr.)
FORSCHUNGSVERBUND BERLIN EV

Participation ended

Germany
EU contribution
€ 362 110,82
Address
Rudower Chaussee 17
12489 Berlin
Activity type
Research Organisations
Administrative Contact
Volker Knoll-Hoyer (Mr.)