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Arbeitsgruppe Angewandte Analysis

Kollegiengebäude Mathematik (20.30)
Zimmer 2.029

Englerstraße 2
76131 Karlsruhe

Dr. Kaori Nagato-Plum

HM I, II, III: für Studierende der Physik, Elektrotechnik
Übungsscheine für HM: für die Studierende der Physik
Numerische Methoden (ETIT)
zusätzlich: studienbegleitende Klausuren zu den Vorlesungen der Dozenten der Arbeitsgruppe.

Mo -- Fr 10:00-12:00

Tel.: 0721 608-42056

Fax.: 0721 608-46214

AG Mathematische Physik (Wintersemester 2014/15)

Dozent: Prof. Dr. Dirk Hundertmark
Veranstaltungen: Seminar (0127100)
Semesterwochenstunden: 2

Seminar: Donnerstag 14:00-15:30 SR 2.58
Donnerstag 14:00-15:30 1C-01
Seminarleitung Prof. Dr. Dirk Hundertmark
Zimmer 2.028 Kollegiengebäude Mathematik (20.30)
Email: dirk.hundertmark@kit.edu

29.01.2015 André Hänel (Universität Stuttgart)
13.00 Uhr Eigenvalue asymptotics for the Laplacian on an infinite strip with mixed boundary condition
22.01.2015 Jean-Marie Barbaroux (Université de Toulon)
Absolute continuity of the spectrum for a model of weak decay of Z^0 boson
Abstract: We study spectral properties of a Hamiltonian describing the weak decay of a Z^0 boson into a pair of electron and positron. The operator acts on tensor product of one bosonic and two fermionic Fock spaces. Our main result states that the nature of the spectrum near thresholds is purely absolutely continous. As usual for energies near thresholds, the derivation of positive commutator estimates fails with "standard" conjugate operators. Therefore, to derive a Mourre inequality, we follow the strategy of Huebner and Spohn they use for the spectral study of a spin-boson model, and we apply singular Mourre theory with a non self-adjoint conjugate operator. This is joint work with Jeremy Faupin and Jean-Claude Guillot.
15.01.2015 Vu Hoang (Rice University, Texas)
Blowup for model equations of fluid mechanics.
Abstract: The 3D Euler equations describe the motion of an inviscid, incompressible fluid. One of the most challenging questions is whether the solutions of the Euler equations develop singularities in finite time from smooth initial data. In 2013, remarkable progress has been made in the understanding of possible singularity formation for inviscid fluids. In particular, striking numerical evidence has been found by T. Hou and G. Luo that indeed blowup solutions exist for the 3D Euler equations. Inspired by this, A. Kiselev and V. Sverak found solutions of the 2D Euler equations with double exponential gradient growth in time. In this talk, I give an introduction into recent developments and discuss one-dimensional model problems.