Thematic Program on

Mathematical Modeling of Materials Across Scales

Duration: 12 months

Academic Year: 2010 – 2011

The subject of the first thematic program is Mathematical Modeling of Materials Across Scales and has a duration of one year. In this thematic program we imbed the following two one-week-long workshops:

  • Coarse-graining of many-body systems: analysis, computations and applications
    In recent years, coarse-graining methods have emerged as a powerful computational tool for applications ranging from chemical engineering and polymers to materials, biology and bioengineering. The mathematical and computational challenges in designing reliable coarsegraining algorithms demand a vast array of methodologies drawn for instance from statistical mechanics, numerical analysis, dynamical systems, statistics, and parallel and high performance computing. In this workshop we plan to bring together a diverse group of experts that cover many of these perspectives; the workshop will be preceded by short tutorials geared towards young researchers and students.

    The workshop was held in the facilities of the center on June 27 – July 1, 2011. A dedicated website for the workshop can be found here. The following scientists participated and gave a talk in the workshop:

    • Wim Briels, University of Twente, Netherlands
    • Abhijit Chattejee, IIT–Kanpur, India
    • Kristen Fichthorn, Pennsylvania State University, USA
    • Martin Hairer, University of Warwick, UK
    • Vagelis Harmandaris, University of Crete, Greece
    • Efthimios Kaxiras, Harvard University, USA
    • Yiannis Kaznessis, University of Minnesota, USA
    • Yiannis Kevrekidis, Princeton University, USA
    • Kurt Kremer, Max Planck Institute for Polymer Research, Germany
    • Frederic Legoll, ENPC, France
    • Benedict Leimkuhler, University of Edinburgh, UK
    • Tony Lelièvre, ENPC, France
    • Jonathan C. Mattingly, Duke University, USA
    • Christoph Ortner, University of Oxford, UK
    • Anastasia Papavasiliou, University of Crete, Greece and University of Warwick, UK
    • Grigorios Pavliotis, Imperial College, UK
    • Petr Plechac, University of Delaware, USA
    • Luc Rey–Bellet, University of Massachusetts, USA
    • Mathias Rousset, INRIA, France
    • Mattias Sandberg, KTH, Sweden
    • Tim Schulze, University of Tennessee, USA
    • Raul Tempone, KAUST, Saudi Arabia
    • Dimitrios Tsagkarogiannis, University of Rome Tor Vergata
    • Dionisios G. Vlachos, University of Delaware, USA
    • Dimitri Vvedensky, Imperial College, UK
    • Jonathan Weare, University of Chicago, USA
  • Continuum and kinetic methods in the theory of shocks, fronts, dislocations and interfaces
    This workshop will focus on the mathematical study of nonlinear phenomena involving the propagation of singularities in solid mechanics and plasticity. The objective of this workshop is to bring together experts working on kinetic theory techniques, with experts that focus on the development of mathematical modeling for materials at the continuum level and to explore the interplay of these rapidly developing topics. At the level of materials we expect to address the areas of modeling of crystalline surfaces at the nanoscale, that of complex flows involving polymeric solutions. And on the continuum side of modeling the topics of dynamic cavitation, shear bands, shock waves in elastic media, phase transitions and interfaces in solids, dislocations.

    The workshop was held in the facilities of the center on June 27 – July 1, 2011. A dedicated website for the workshop can be found here. The following scientists participated and gave a talk in the workshop:

    • Nicholas Alikakos, University of Athens, Greece
    • Nikos Aravas, University of Thessaly, Greece
    • Claude Bardos, Laboratoire Jacques Louis Lions, France
    • Ana Carpio, Universidad Complutense de Madrid, Spain
    • Gui–Qiang Chen, Oxford University, UK
    • Cleopatra Christoforou, University of Cyprus, Cyprus
    • Constantine Dafermos, Brown University, USA
    • Donatella Donatelli, University of L' Aquila, Italy
    • Volker Elling, University of Michigan, USA
    • Gero Frieseck, TU Munich, Germany
    • Johannes Giannoulis, TU Munich, Germany
    • Francois Golse, Ecole Polytechnique, France
    • Manos Grillakis, University of Maryland, USA
    • Radu Ignat, Université Paris–Sud, France
    • Pierre–Emmanuel Jabin, University of Nice, France
    • Georgia Karali, University of Crete, Greece
    • Theodoros Katsaounis, University of Crete, Greece
    • Nikolaos Katzourakis, University of Athens, Greece
    • David Kinderlehrer, Carnegie Mellon University, USA
    • Piero Marcati, University of L' Aquila, Italy
    • Barbara Niethammer, Oxford University, UK
    • Robert Pego, Carnegie Mellon University, USA
    • Christian Rohde, University of Stuttgart, Germany
    • Vassilis Rothos, Aristotle University of Thessaloniki, Greece
    • Denis Serre, Ecole Normale Supérieure de Lyon, France
    • Marshall Slemrod, University of Wisconsin, USA
    • Juan Velazquez, University of Bonn, Germany
    • Johannes Zimmer, University of Bath, Uk

During the period of the thematic program the following scientists visited the center and collaborated with ACMAC members:

  • Frédéric Legoll
    ENPC, France
    26 Jun 2011 - 1 Jul 2011
  • Sergey Dobrokhotov
    Institute for Problems in Mechanics, RAS, Russia
    17 Jun 2011 - 4 Jul 2011
  • Roman Schubert
    Department of Mathematics, University of Bristol, United Kingdom
    7 Jun 2011 - 12 Jun 2011
  • Robert Littlejohn
    Department of Physics, UC Berkeley, USA
    1 Jun 2011 - 12 Jun 2011
  • Alexander G. Ramm
    Department of Mathematics, Kansas State University, USA
    30 May 2011 - 10 Jun 2011
  • Cristian Lubich
    Universität Tübigen, Germany
    30 May 2011 - 5 Jun 2011
  • Frédéric Faure
    Université Joseph Fourier, France
    11 May 2011 - 25 May 2011
  • Maurice de Gosson
    NUHAG, Faculty of Mathematics, University of Vienna, Austria
    9 May 2011 - 20 May 2011
  • Vesselin Petkov
    Université Bordeuax I, France
    9 May 2011 - 15 May 2011
  • Vesselin Petkov
    Université Bordeuax I, France
    9 May 2011 - 15 May 2011
  • Manolis Georgoulis
    University of Leicester, United Kingdom
    11 Apr 2011 - 16 Apr 2011
  • Takashi Suzuki
    Osaka University, Japan
    2 Apr 2011 - 9 Apr 2011
  • Petr Plechac
    University of Delaware, USA
    24 Jan 2011 - 3 Feb 2011
  • Miao-Jung Yvonne Ou
    University of Delaware, USA
    24 Jan 2011 - 3 Feb 2011
  • Georgios Akrivis
    Department of Computer Science, University of Ioannina, Greece
    16 Jan 2011 - 21 Jan 2011
  • Manolis Georgoulis
    University of Leicester, United Kingdom
    7 Jan 2011 - 13 Jan 2011
  • Roman Schubert
    Department of Mathematics, University of Bristol, United Kingdom
    26 Sep 2010 - 4 Oct 2010
  • Georgios Akrivis
    Department of Computer Science, University of Ioannina, Greece
    22 Sep 2010 - 26 Sep 2010
  • Dion Vlachos
    Department of Chemical Engineering, University of Delaware, USA
    26 Jul 2010 - 28 Jul 2010
  • Franz Mertens
    Bayreuth University, Germany
    18 May 2010 - 28 May 2010