Further Informations
Seminar ``Modern Methods in Applied Stochastics and Nonparametric Statistics''
Host
WIAS Berlin
Tuesday, 28.05.2013, 15.15 Uhr (FU Berlin)
Oberseminar Nonlinear Dynamics H. Ruan, Universität Hamburg:
A degree theory for synchrony-breaking bifurcations in coupled cell systems more ...Location Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Hinterhaus, Raum 130
Abstract
A network is a graphical entity consisting of nodes and links between the nodes. In the theory of coupled cell systems, nodes of the network are interpreted as individual dynamical systems whose mutual interactions are described by the coupling structure of the network. One important and most studied collective dynamics on networks is the synchronization: a set of cells is said to be synchronized, if their individual dynamics coincide over time. Fully synchronized states where all cells are in synchrony, are rare instances. The more common phenomenon is partial synchronization where communities or clusters of cells are synchronized. A synchrony-breaking bifurcation refers to a local bifurcation, where a fully synchronous equilibrium loses its stability and bifurcates to states of less synchrony. In this talk, we introduce a lattice degree which can be used to study synchrony-breaking bifurcations, both of steady states and of oscillating states, and to predict the existence of these bifurcating branches, together with their multiplicity, symmetry and synchrony types.
Host
WIAS Berlin Freie Universität Berlin
Wednesday, 29.05.2013, 10.00 Uhr (WIAS-ESH)
Prof. L. Horvath, University of Utah, USA:
Change point detection: Models and approaches more ...Location Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal
Host
WIAS Berlin Humboldt-Universität zu Berlin Universität Potsdam
Abstract
In the past 15 years, the theory of Optimal Transport has led to significant progress in the analysis and geometry of metric measure spaces. Originally, the theory seemed to be restricted to continuous spaces, but in recent years, it was realised that ideas from Optimal Transport can be adapted to a much wider setting, with applications to discrete Markov chains and quantum evolution equations. I will present a survey of these developments.
Further Informations
Berliner Oberseminar ``Nichtlineare Partielle Differentialgleichungen'' (Langenbach Seminar)
Abstract
In this talk we describe the spectral properties of selfadjoint Schrödinger operators on unbounded domains with an associated Dirichlet-to-Neumann map. In particular, a characterization of the isolated and embedded eigenvalues, the corresponding eigenspaces, as well as the continuous and absolutely continuous spectrum in terms of the limiting behaviour of the Dirichlet-to-Neumann map is obtained. Furthermore, a sufficient criterion for the absence of singular continuous spectrum is provided. The results are natural multidimensional analogues of classical facts from singular Sturm-Liouville theory.
Further Informations
Berliner Oberseminar ``Nichtlineare Partielle Differentialgleichungen'' (Langenbach Seminar)
Host
WIAS Berlin Humboldt-Universität zu Berlin
Thursday, 30.05.2013, 14.00 Uhr (WIAS-ESH)
Seminar Numerische Mathematik L. Schumacher, Humboldt Universität zu Berlin:
Isogeometric analysis for scalar convection-diffusion equations more ...Location Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal
Abstract
The talk presents the main ideas of IGA, important results from the error analysis, and numerical examples.
Host
WIAS Berlin
Monday, 03.06.2013, 14.00 Uhr (WIAS-ESH)
INSTITUTSKOLLOQUIUM Dr. R. Scholz, Technische Universität Dresden, Institut für Angewandte Photophysik (IAPP):
Optoelektronische Bauelemente aus organischen Halbleitern: Simulation von spektroskopischen Eigenschaften und elektronischem Transport more ...Location Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal
Further Informations
Institutskolloquium
Host
WIAS Berlin
Tuesday, 04.06.2013, 10.15 Uhr (WIAS-406)
Seminar Nichtlineare Optimierung und Inverse Probleme Dr. O. Pajonk, SPT Group GmbH, Hamburg:
A sampling-free method for linear Bayesian updating with application to spectral representations more ...Location Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Weierstraß-Hörsaal (Raum: 406)
Abstract
We study the local energy dissipation in gradient-like nonlinear partial differential equations on unbounded domains. Our basic assumption, which happens to be satisfied in many classical examples, is a pointwise upper bound on the energy flux in terms of the energy dissipation rate. Under this hypothesis, we derive a simple and general bound on the integrated energy flux which implies that, in low space dimensions, our ``extended dissipative system'' has a gradient-like dynamics in a suitable averaged sense. In particular, we can estimate the time spent by any trajectory outside a neighborhood of the set of equilibria. As an application, we study the long-time behavior of solutions to the two-dimensional Navier-Stokes equation in an infinite cylinder. This talk is based on a collaboration with S. Slijepcevic (Zagreb, Croatia).
Further Informations
Berliner Oberseminar ``Nichtlineare Partielle Differentialgleichungen'' (Langenbach Seminar)
Host
WIAS Berlin Humboldt-Universität zu Berlin
Thursday, 27.06.2013, 14.00 Uhr (WIAS-ESH)
Seminar Numerische Mathematik S. Moore, RICAM, Austrian:
Discontinuous Galerkin isogeometric analysis for elliptic PDEs on manifolds more ...Location Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal
Abstract
Isogeometric analysis uses the same class of basis functions for both, representing the geometry of the computational domain and approximating the solution. In practical applications, geometrical patches are used in order to get flexibility in the geometrical representation. This patch representation corresponds to a domain decomposition. In this talk, we will present a Discontinuous Galerkin (DG) Method that allows for discontinuities only along the subdomain (patch) boundaries. The required smoothness is obtained by the DG terms associated with the boundary of the subdomains. The construction and corresponding discretization error analysis of such DG scheme will be presented for Elliptic PDEs living in plane domains as well as on open and closed surfaces. This is a joint talk with Ulrich Langer (RICAM, Linz, Austria).
Host
WIAS Berlin
Thursday, 04.07.2013, 16.15 Uhr (WIAS-ESH)
Forschungsseminar Mathematische Modelle der Photonik R. Arkhipov, WIAS Berlin:
Modelling, simulations and analysis of mode-locked semiconductor lasers with external periodic forcing more ...Location Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal
Seminar Materialmodellierung Dr. Ch. Zanini, Politechnic University of Turin, Italy:
First order approximations of finite dimensional gradient flows more ...Location Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Further Informations
WIAS-Materialmodellierungsseminar
Further Informations
Berliner Oberseminar ``Nichtlineare Partielle Differentialgleichungen'' (Langenbach Seminar)
Host
WIAS Berlin Humboldt-Universität zu Berlin
Thursday, 11.07.2013, 16.15 Uhr (WIAS-ESH)
Forschungsseminar Mathematische Modelle der Photonik Dr. U. Bandelow, WIAS Berlin:
Solitons on a background, rogue waves, and classical soliton solutions of the Sasa-Satsuma equation more ...Location Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal
Abstract
The workshop will focus on the methods and results for evolution problems driven by functionals and applications. Emphasis will be given to gradient flows for free energy or entropy as well as to generalized gradient and rate-independent systems and dissipative Hamiltonian systems, also in a multiscale setting. The issue of the variational approximation of evolution, possibly in the form of suitable evolutionary Gamma-convergence notions, will be also covered. The many applications of this wide range of techniques may include thermomechanical and materials modeling, stochastic models, multi- particle systems, transition from discrete to continuum, quantum mechanics, and reaction-diffusion systems.
The list of confirmed speakers include:
Andrea Braides, Rome, José Carrillo, London, Eduard Feireisl, Prague, Michael Herrmann, Saarbrück en, Ansgar Jüngel, Vienna, Matthias Liero, Berlin, Peter Markowich, Cambridge/Vienna, Daniel Matthes, Munich, Maria Giovanna Mora, Pavia, Elisabetta Rocca, Milan, Riccarda Rossi, Brescia, Giuseppe Savaré, Pavia, André Schlichting, Bonn, Florian Theil, Warwick, Maria Westdickenberg, Aachen, Johannes Zimmer, Bath.
Additionally, proposals for contributed talks and posters will be welcome before June 22, 2013 at the conference email eedsa13@wias-berlin.de
Please find a pdf announcement of the workshop here.
