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Entropy formulation of evolutionary phase transitions

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.
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Principal Investigator

Elisabetta Rocca (Prof.)

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)

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UNIVERSITA DEGLI STUDI DI PAVIA

Italy

EU Contribution

€ 42 276,50

UNIVERSITA DEGLI STUDI DI MILANO

Italy

EU Contribution

€ 255 397,56

FORSCHUNGSVERBUND BERLIN EV

Germany

EU Contribution

€ 362 110,82

Project information

Grant agreement ID: 256872

Status

Closed project

  • Start date

    1 April 2011

  • End date

    31 March 2017

Funded under:

FP7-IDEAS-ERC

  • Overall budget:

    € 659 784,88

  • EU contribution

    € 659 784,88

Hosted by:

UNIVERSITA DEGLI STUDI DI PAVIA

Italy