Entropy formulation 
of Evolutionary phase transitions
EntroPhase


              ERC Starting Independent Researcher Grant
 






People - Dissemination - Workshops
Other Activities

     Staff:
      

     External voluntary cooperators:

Elena Bonetti (Universita' degli Studi di Pavia)
Cecilia Cavaterra (Universita' degli Studi di Milano)
Pierluigi Colli (Universita' degli Studi di Pavia)
Eduard Feireisl (Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic)
Maurizio Grasselli (Politecnico di Milano)
Dietmar Hoemberg (WIAS, Berlin, Germany)
Alain Miranville (Universite` de Poitiers, Poitiers, France)
Riccarda Rossi (Universita' di Brescia)
Giulio Schimperna (Universita' degli Studi di Pavia)
Antonio Segatti (Universita' degli Studi di Pavia)
Juergen Sprekels (WIAS, Berlin, Germany)

Project summary:

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.

          Project activities:
          International Meetings and Schools:
  • Indam-ERC Workshop  ``Special materials in complex systems'', INDAM, Rome - May 18-22, 2015. Organized with Elena Bonetti (Pavia), Cecilia Cavaterra (Milano), and Riccarda Rossi (Brescia).
  • Special Session ``Applied analysis'' of the GAMM 86th Annual Scientific Conference - Lecce, Italy, March 23, 2015 – March 27, 2015. Organized with Maurizio Grasselli (Polimi) and Dorothee Knees (Kassel).
  • RIPE60 -- Rate Independent Processes and Evolution -- Workshop on the occasion of  Pavel Krejci 60th birthday, Mathematical Institute of the Czech Academy of Sciences, Prague,  June 24 -- 26, 2014. Organized with E. Feireisl (Prague). Download the poster.
  • International Workshop: PDEs for multiphase advanced materials (ADMAT2012), Cortona, Arezzo, September 17-21, 2012. Organized with E. Bonetti and P. Colli (Pavia).







     Visiting Professors and Researchers:
  • Dietmar Hoemberg - WIAS, Berlin, Germany
    November 8-17, 2011
  • Arghir Zarnescu - University of Sussex, UK
    November 27 - December 2, 2011
  • Eduard Feireisl - Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic
    February 13 - 17, 2012
  • Alain Miranville - University of Poitiers, France
    February 27 - March 4, 2012
  • Hao Wu - Fudan University, China
    April 12 - April 14, 2012  and  April 20 - April 27, 2012
  • Gabriela Marinoschi, Iasi, Romania, July 20-22, 2012 and October 30-31, 2012
  • Eduard Feireisl, Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic, November 19-23, 2012
  • Christiane Kraus and Christian Heinemann, WIAS, Berlin, Germany, November 26-30, 2012
  • Michel Cristofol - University of Aix-Marseille (France), and Elena Beretta, Universita' di Roma la  Sapienza (Italy), January 14-18, 2013
  • Pavel Krejci - Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic, March 4-8, 2013
  • Michel Fremond - Universita' di Roma Tor Vergata, Roma, March 18-21, 2013
  • Eduard Feireisl, Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic, May 19-25, 2013
  • Eduard Feireisl - Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic, June 17-26, 2013
  • Arghir Zarnescu -  University of Sussex, UK, June 17-24, 2013
  • Ortega Jaime Humberto - University of Chile, Santiago de Chile, September 30- October 1, 2013
  • Maria Schonbek - University of California, USA, October 4-11, 2013
  • Virginia Agostiniani - Mathematical Institute - University of Oxford, UK, December 10-12, 2013
  • Giuseppe Tomassetti - Universita' di Roma Tor Vergata, Italy, January 13-17, 2014
  • Pavel Krejci - Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic, February 10-12, 2014
  • Eduard Feireisl - Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic, March 24-28, 2014
  • Maria Schonbek - University of California, USA, March 24-28, 2014
  • Flaviana Iurlano - Hausdorff Center for Mathematics, Bonn, Germany, March 30th - April 4th, 2014
  • Pavel Krejci - Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic, May 5-10, 2014
  • Gabriela Marinoschi - Institute of Mathematical Statistics and Applied Mathematics, Bucharest, Romania, May 14-16, 2014 and December 1-7, 2014
  • Viorel Barbu, Al. I. Cuza" University, Romanian Academy, Iasi, Romania, December 1-7, 2014
  • Maria Schonbek - University of California, USA, March 30- April 4, 2015
  • Arghir Zarnescu -  University of Sussex, UK, March 16-21, 2015
  • Eduard Feireisl - Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic, March 30 - April 3, 2015
  • Mimi Dai - University of Illinois at Chicago, USA, March 29 - April 7, 2015
  • Pavel Krejci, Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic, May 25-28, 2015
  • Michel Fremond - University of Roma Tor Vergata, June 2-5, 2015
  • Hao Wu - Fudan University, China, September 30 - October 14, 2015
  • Stefano Melchionna - University of Vienna, November 23-27, 2015.
  • Kei-Fong Lam - University of Regensburg, December 13-18, 2015.
  • Pavel Krejci, Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic, January 25-29, 2016
  • Arghir Zarnescu -  University of Sussex, UK, February 7-13, 2016
  • Eduard Feireisl - Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic, February 7-13, 2016
  • Hosek Radim, Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic, September 2016
  • Juergen Sprekels, WIAS, Berlin, Germany, September 12-16, 2016
  • Riccardo Scala, University of Vienna, September 26-30, 2016
  • Hao Wu - Fudan University, China, February 6-18, 2017
  • Kei-Fong Lam - University of Regensburg, February 6-10, 2017
  • Takeshi Fukao - Kyoto University of Education, February 6-16, 2017
  • Juergen Sprekels, WIAS, Berlin, Germany, February 19-24, 2016
  • Alain Miranville - University of Poitiers, France
    February 20-21, 2017


       Seminars of Visiting Professors:
- Juergen Sprekels - WIAS, Berlin, Germany
A NONSTANDARD PHASE FIELD SYSTEM     OF CAHN-HILLIARD TYPE FOR DIFFUSIVE PHASE SEGREGATION
September 21, 2011, 17:00
Mathematical Department, via Saldini 50

- Arghir Zarnescu - University of Sussex, UK

MATHEMATICAL PROBLEMS OF THE Q-TENSOR THEORY OF NEMATIC LIQUID CRYSTALS
November 30, 2011, 14:15
Mathematical Department, via Saldini 50

- Christiane  Kraus - WIAS, Berlin, Germany
CAHN-LARCHE SYSTEMS COUPLED WITH DAMAGE
November 28, 2012, 15:00
Mathematical Department, via Saldini 50

- Michel Cristofol - University of Aix-Marseille, France
SYSTEMS OF PARABOLIC EQUATIONS: UNIQUENESS AND RECONSTRUCTION OF COEFFICIENTS VIA TWO METHODS
January 15, 2013, 14:30
Mathematical Department, via Saldini 50

- Elena Beretta - Universita' di Roma la  Sapienza, Italy

ON THE STABILITY ISSUE FOR SOME INVERSE BOUNDARY VALUE PROBLEMS
January 15, 2013, 15:30
Mathematical Department, via Saldini 50

- Veronica Felli - Universita' di Milano Bicocca, Italy
ASYMPOTIC BEHAVIOR OF EIGENVALUES AND EIGENFUNCTIONS IN DUMBELL DOMAINS WITH SHRINKING TUBES
April 9, 2013, 16:00
Mathematical Department, via Saldini 50, Milano.

-
Maria Schonbek - University of California, USA
$L^2$-ASYMPTOTIC STABILITY OF MILD SOLUTIONS TO NAVIER-STOKES SYSTEM IN $\R^3$ 
October 8, 2013, 15:00
WIAS, Berlin.

- Virginia Agostiniani -
University of Oxford, UK
MINIMUM PROBLEMS FOR A CLASS OF NON-QUASCONVEX ENERGY DENSITIES
December 10, 2013, 15:00
IMATI, CNR,  via Ferrata 1, Pavia.

-
Giuseppe Tomassetti - Universita' di Roma Tor Vergata, Italy
THERMOMECHANICS OF HYDROGEN STORAGE IN METALLIC HYDRIDES: MODELING AND ANALYSIS
January 14, 2014, 16:00
IMATI, CNR, via Ferrata 1, Pavia


- Pavel Krejci - Mathematical Institute of the Czech Academy of Sciences, Prague, Czech Republic
SOME REMARKS ON UNIQUENESS OF SOLUTIONS TO NONLINEAR PARABOLIC SYSTEMS
February 12, 2014, 15:00
IMATI, CNR, via Ferrata 1, Pavia


- Marita Thomas - WIAS, Berlin, Germany
EXISTENCE AND STABILITY RESULTS FOR RATE-INDEPENDENT PROCESSES IN VISCO-ELASTIC MATERIALS
March 18, 2014, 16:00
IMATI, CNR, via Ferrata 1, Pavia

- Flaviana Iurlano - Hausdorff Center for Mathematics, Bonn, Germany
ON THE GAMMA-CONVERGENCE OF DAMAGE MODELS TO COHESIVE FRACTURE MODELS
April 1, 2014, 16:00
IMATI, CNR, via Ferrata 1, Pavia

- Gabriela Marinoschi - Institute of Mathematical Statistics and Applied Mathematics, Bucharest, Romania
A FREE BOUNDARY PROBLEM FOR A NONLINEAR HYPERBOLIC SYSTEM: APPLICATION TO CELL GROWTH
May 15, 2014, 15:00
IMATI, CNR, via Ferrata 1, Pavia

Viorel Barbu, Al. I. Cuza" University, Romanian Academy, Iasi, Romania
NONLINEAR DIFFUSION EQUATIONS IN IMAGE PROCESSING
December 2, 2014, 15:00
IMATI, CNR, via Ferrata 1, Pavia

- Marita Thomas - WIAS, Berlin, Germany
COUPLING RATE-INDEPENDENT AND RATE-DEPENDENT PROCESSES: EXISTENCE RESULTS
March 5, 2015, 15:00
IMATI, CNR, via Ferrata 1, Pavia

- Hao Wu - Fudan University- Shanghai, China
GLOBAL WEAK SOLUTIONS TO A CAHN-HILLIARD-STOKES-DARCY SYSTEM FOR TWO PHASE INCOMPRESSIBLE FLOWS IN THE KARSTIC GEOMETRY
October 6, 2015, 15:00
IMATI, CNR, via Ferrata 1, Pavia

-Stefano Melchionna - University of Vienna, Austria
WED APPROACH TO DISSIPATIVE PROBLEMS AND APPLICATIONS
November 26, 2015, 15:00
IMATI, CNR, via Ferrata 1, Pavia

- Kei-Fong Lam - University of Regensburg, Germany
A DIFFUSE INTERFACE TUMOUR MODEL WITH CHEMOTAXIS AND ACTIVE TRANSPORT
December 17, 2015, 15:00
IMATI, CNR, Via Ferrata 1, Pavia

- Davide Zucco - University of Torino
ON THE GEOMETRY OF OPTIMAL SHAPES FOR SPECTRAL FUNCTIONALS
February 8, 2016, 15:00
IMATI, CNR, Via Ferrata 1, Pavia

- Hosek Radim, Mathematical Institute of the Czech Academy of Sciences
, Prague, Czech Republic
CONVERGENT FINITE DIFFERENCE SCHEME FOR COMPRESSIBLE NAVIER-STOKES IN THREE SPATIAL DIMENSIONS
September 20, 2016, 15:00
IMATI, CNR, via Ferrata 1, Pavia







 
 
 
Last modification: March 2017