Institute
General information about the institute, such as our mission statement, organizational structure, staff directory, history, directions, etc.

See More
Research
Scientific profile with all research groups, topics, collaborations, as well as columns on research at the institute.

See More
News
News and press releases about the institute, as well as a media archive.

See More
- News Overview
- Press Releases
Events
Overview of all events around the institute, such as talks, seminars, lectures, workshops, conferences and public events.

See More
Publications
Overview of all scientific publications of the institute, as well as our preprint and software repositories.

See More
Career
Information on open positions at the institute, benefits of working with us, graduate school, and postdoctoral supervision.

See More

Events
Emerging structures in Analysis and Probability: A conference in honor of Stephan Luckhaus' 60th birthday

Universität Leipzig (Leipzig)

Augustusplatz 10
04109 Leipzig
Germany

Felix-Klein-Hörsaal

conference

24.06.13 26.06.13

Emerging structures in Analysis and Probability: A conference in honor of Stephan Luckhaus' 60th birthday

The main objective of this conference is to bring together key researchers in applied analysis and probability theory, in particular at the cross-roads of variational models in materials science, statistical mechanics, and free boundary problems.

Speakers

Luis A. Caffarelli

University of Texas at Austin

Nicolas Dirr

Cardiff University

Gero Friesecke

TU München

Günter Gottstein

RWTH Aachen

Roman Kotecký

University of Warwick

John Ockendon

University of Oxford

George Papanicolaou

Stanford University

Errico Presutti

Università di Roma "Tor Vergata"

Tristan Rivière

ETH Zürich

Reiner Schätzle

Universität Tübingen

Sylvia Serfaty

Université Pierre et Marie Curie Paris 6
Participation cancelled!

Senya Shlosman

Centre de Physique Théorique, CNRS

Panagiotis E. Souganidis

University of Chicago

Juan Velázquez

Universität Bonn

Program

09:00 - 10:00	Luis A. Caffarelli to be announced
10:00 - 10:30	Coffee & Tea
10:30 - 11:30	Juan Velázquez Blow-up and asymptotic behaviour for kinetic equations describing quantum particles
11:30 - 12:30	John Ockendon Landau damping and one-dimensional waves in plasmas This talk will begin with a brief review of Landau's theory for the linear stability of plasmas in which the electrons satisfy a Maxwellian distribution. The nonlinear expansion of such a plasma in a tube will then be considered analytically and numerically, with emphasis on the effect of Landau damping on the shock waves that would occur if the ions were cold.
12:30 - 14:00	Lunch Break
14:00 - 15:00	Tristan Rivière Non integrable Plateau Problems
15:00 - 15:30	Coffee & Tea
15:30 - 16:30	Reiner Schätzle The Gibbs-Thomsen law
16:30 - 17:30	Break
17:30 - 18:30	Hans Engler Commutative diagram with beer, green tea and soft cheese, a street protest lemma: Remembrances of student life in Münster and Heidelberg
18:30 - 22:00	Break

09:00 - 10:00	George Papanicolaou Imaging in complex media In the emerging interdisciplinary science of imaging, in all its forms, sensor imaging in complex media has a special place. This is because of the mathematical challenges it poses as well as because of the many applications that depend on its success, from high-resolution medical imaging to seismic imaging, satellite imaging, etc. I will give a brief overview of the mathematical issues that come up and then introduce correlation based, or interferometric methods that are well suited to deal with complex media. I will give examples from seismic imaging where correlation based methods have had a huge impact recently.
10:00 - 10:30	Coffee & Tea
10:30 - 11:30	Panagiotis E. Souganidis Periodic approximations of the effective nonlinearities in stochastic homogenization In this lecture I discuss how to approximate the effective nonlinearities in the stochastic homogenization of first- and second- order nonlinear partial differential equations by the effective nonlinearities of appropriate chosen periodic problems. Under mixing hypotheses I will also present some error estimates.
11:30 - 12:30	Nicolas Dirr Gradient flows with random energies We introduce some random energies and associated gradient flows motivated by the evolution of phase boundaries in heterogeneous media. The talk will focus on new effects due to the random nature of the energies and on the interplay of techniques from statistical mechanics and analysis.
12:30 - 14:00	Lunch Break
14:00 - 15:00	Günter Gottstein Mathematical Aspects of Materials Engineering Materials Science and Engineering is a scientific discipline which is concerned with complex physical systems, vaguely defined boundary conditions and typically chemically ‚dirty‘ substances. Nevertheless, at the end of the day, a materials engineer has to come up with a prediction of material properties for given processing conditions with high reliability, for instance for the toughness of a turbine blade in a jet engine which has to perform reliably and reproducibly in extreme environments. Unfortunately, contrary to common belief of materials engineers, the processing conditions do not constitute the state parameters of the properties of a material; rather the engineering properties of a processed product are determined by both the overall chemical composition and the internal distribution of elements and crystal defects, also referred to as microstructure. Since the overall chemical composition remains unchanged, the microstructure serves as state parameter of material properties. For predicting material properties with given processing history, the evolution of microstructure has to formulated, usually over many processing steps. For select examples it will be demonstrated, how to set up constitutive equations, what microstructural variable to define, which mathematical tools to use and eventually, which quantitative predictions can be made.
15:00 - 15:30	Coffee & Tea
15:30 - 16:30	Willi Jäger Mathematics is Life - Some Side Notes on Occasion of the 60th Anniversary of Stephan Luckhaus
17:30 -	Barbecue

09:00 - 10:00	Senya Shlosman $N^{1/3}$ scaling in the 2D Ising model and the Airy diffusion I will consider the behavior of the phase separation interface of the 2D Ising model in the vicinity of the wall. Properly scaled, it converges to the diffusion process, with a drift expressed via Airy function. Joint work with D. Ioffe and Y. Velenik.
10:00 - 10:30	Coffee & Tea
10:30 - 11:30	Errico Presutti Particle models for the Stefan problem I will report on some recent works on stochastic particle systems whose evolution mimics a free boundary problem. Prototype is the d=1 simple symmetric exclusion process (SSEP) restricted to configurations which have a rightmost particle and a leftmost hole. The process is defined by adding to the SSEP a birth-death generator which at some small rate kills the rightmost particle and, independently, the leftmost hole. The model thus describes a microscopic diffusion (SSEP) in the free boundary interval between the leftmost hole and rightmost particle. Hydrodynamic limit (with proper scaling of space and time) is studied and established.
11:30 - 12:30	Roman Kotecký to be announced
12:30 - 14:00	Lunch Break
14:00 - 15:00	Gero Friesecke Density functional theory and optimal transportation with Coulomb cost Density functional theory is a widely used variational model of the electronic structure of molecules, clusters, and bulk matter (it underlies most current numerical electronic structure predictions in physics, chemistry, materials science, molecular biology). There exists an 'exact' density functional whose minimizer co-incides with the correct electron density predicted by full many-body quantum mechanics (the so-called Hohenberg-Kohn functional). But its construction is too indirect to be computationally usable. Explicit functionals are obtained via 'closure relations' expressing the electron pair density or the N-point density in terms of its one-point marginal (alias single-particle density). In the semi-classical limit, there emerges an exact closure relation: the N-point density is the solution of an N-body optimal transport problem with Coulomb cost. An interesting and unusual feature of this problem is that the cost decreases (rather than increases) with distance. The limit problem is known in the physics literature since 1999, but the fact that it has the structure of an OT problem and can be usefully analyzed via OT theory was first noticed by us in 2011 (C.Cotar, G.F., C.Klueppelberg, arxiv.org/abs/1104.0603, 2011 and CPAM 66, 548-599, 2013). In the talk I will begin by informally explaining the connection quantum mechanics -- density functional theory -- optimal transport (not assuming expertise in any of these fields). I will then discussqualitative theory of OT with Coulomb cost, including the question whether ''Kantorovich minimizers'' must be ''Monge minimizers'' (yes for 2 particles, open for N particles)exactly soluble examples, including N particles, 2 sites (arxiv.org/abs/1304.0679, 2013, with C.B.Mendl, B.Pass, C.Cotar, C.Klueppelberg)the limit of infinitely many particles (Preprint, 2013, with C.Cotar and B.Pass).
15:00 - 15:30	Coffee & Tea

Participants

Wolfgang Alt

Universität Bonn

Eberhard Bänsch

Universität Erlangen-Nürnberg

Ignacio Barradas

Universidad de Guanajuato

Peter Bella

MPI MIS Leipzig

Katarina Bellova

MPI MIS Leipzig

Christoph Blendinger

Deutsche Bahn

Thomas Blesgen

Carl-Friedrich Bödigheimer

Universität Bonn

Catriona Byrne

Springer Verlag, Heidelberg

Luis A. Caffarelli

University of Texas at Austin

Anna Dall'Acqua

Universität Ulm

Nicolas Dirr

Cardiff University

Willy Dörfler

Karlsruhe Institute of Technology

Gerd Dziuk

Universität Freiburg

Charles Elliot

University of Warwick

Hans Engler

Georgetown University, Washington

Miguel Escobedo

Universidad del País Vasco, Lejona

Bernold Fiedler

Freie Universität Berlin

Jan Filo

University Bratislava

Gero Friesecke

TU München

Peter Friz

TU and WIAS Berlin

Wilfrid Gangbo

Georgia Institute of Technology, Atlanta

Paul Gassiat

TU Berlin

Benjamin Gess

HU Berlin

Michael Goldman

MPI MIS Leipzig

Günter Gottstein

RWTH Aachen

Steffen Heinze

Universität Heidelberg

Joachim Heinze

Springer Verlag, Heidelberg

Peter Hornung

Universität Bonn

Willi Jäger

Universität Heidelberg

Kyungkeun Kang

Yonsei University, Seoul

Bernd Kawohl

Universität zu Köln

Laura Keller

Universität Münster

Enno Keßler

MPI MIS Leipzig

Roman Kotecký

University of Warwick

Dietmar Kröner

Universität Freiburg

Daniel Marahrens

MPI MIS Leipzig

Jonathan Mattingly

Duke University

Michael Meier

Universität Bonn

Ziyad Muslimani

Florida State University and Universität Düsseldorf, Duesseldorf

Stefan Neukamm

WIAS Berlin

John Ockendon

University of Oxford

Vasilis Oikonomou

MPI MIS Leipzig

Heiner Olbermann

Universität Bonn

George Papanicolaou

Stanford University

Christoph Pöppe

Spektrum der Wissenschaft, Heidelberg

Errico Presutti

Università di Roma "Tor Vergata", Rome

Klaus Räwer

SAP, Walldorf

Tristan Rivière

ETH Zürich

Martin Rumpf

Universität Bonn

Eris Runa

Universität Bonn

Reiner Schätzle

Universität Tübingen

André Schlichting

Universität Bonn

Rainer Schumann

Universität Leipzig

Senya Shlosman

Centre de Physique Théorique, CNRS, Marseille

Panagiotis E. Souganidis

University of Chicago

Angela Stevens

Universität Münster

Lorenzo Taggi

MPI MIS Leipzig

Horst Thieme

Arizona State University, Tempe

Jonas Tölle

TU Berlin

Tat Dat Tran

MPI MIS Leipzig

Juan Velázquez

Universität Bonn

Augusto Visintin

Universita' degli Studi di Trento

Marcus Wagner

Universität Leipzig

Hansjörg Walther

Deka, Frankfurt

Jens Weidner

SAP, Walldorf

Georg Weiss

Universität Düsseldorf

Jens Wohlgemuth

MPI MIS Leipzig

Organizers

Jürgen Jost

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Felix Otto

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Matthias Schwarz

Universität Leipzig

Administrative Contact

Katja Heid

Max Planck Institute for Mathematics in the Sciences Contact via Mail