Oberseminar Analysis Winter 2021

Organizers: S. Conti, H. Koch, S. Müller, B. Niethammer, M. Rumpf, C. Thiele, J.J.L. Velázquez, D. Alonso-Orán

  • Thursday, October 28 at 2:15 pm,
    Prof. Dr. Marius Lemm (Universität Tübingen)
    Discrete Green's functions and optimal Hardy weights
    We consider elliptic, divergence-form operators on Z^d with random coefficients. Building on a novel perturbative approach to homogenization theory due to Bourgain, we derive an asymptotic expansion of the annealed (=averaged) Green’s function and its first (d+1) derivatives at large distances. As a corollary, we show that derivatives up to order d+1 behave like those of the standard Laplacian. In the second part of the talk, we discuss how Green’s function estimates from homogenization theory can be used to estimate Hardy weights. We prove that, after suitable averaging, the optimal Hardy weight has the familiar inverse-square behavior at large distances. Joint work with Matthias Keller.


  • Thursday, November 4 at 17:00 pm streamed in Room 2.040 ,
    Marina Chugunova (Claremont Graduate University)
    Motion of Liquid Films in the Gas Channels
    Catalysts are usually made of a dense but porous material such as activated carbon, zeolites, etc. that provide a large surface area. Liquids that are produced as a by-product of a gas reaction at the catalyst site transport to the surface of the porous material, slowing down transport of the gaseous reactants to the catalyst active site. Understanding the dynamics of the liquid films in the gas channel is critical to maintain performance and durability of the catalyst assembly. We develop a mathematical model for liquid films dynamics and study different regimes.

News

Der SFB 1060 Die Mathematik der emergenten Effekte hat eine dritte Förderperiode erhalten. (26.11.20)

Prof. Dr. Andreas Eberle erhält den diesjährigen Lehrpreis der Universität Bonn. (22.07.2020)

Herr Dr. Richard Höfer erhielt den Hausdorff-Gedächtnispreis 2019 der Fachgruppe Mathematik für die beste Disseration. Betreut wurde die Arbeit von Prof. J. Velázquez (29.01.2020).

Einer der Preise der Bonner Mathematischen Gesellschaft (BMG) für die besten Bachelorarbeiten 2019 ging an Herrn Peter Holderrieth unter der Betreuung von Prof. A. Eberle (29.01.2020).

Contact

Managing Director: Prof. Dr. Massimiliano Gubinelli
Chief Administrator: Dr. B. Doerffel
geschaeftsfuehrung@iam.uni-bonn.de
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Mailing address

Institute for Applied Mathematics
University of Bonn
Endenicher Allee 60
D-53115 Bonn / Germany