Inhaltsverzeichnis - Mathematisches Institut der Universität zu Köln

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$Prof. Dr. W. Wefelmeyer WS 2004/05 Dipl.-Math. K. Tang Übungen ...$

DMV Tagung 2011 - Köln, 19. - 22. September Montag, 19. September Seminargebäude, S13 14:00 Mark Peletier (Eindhoven) Passing to the limit in the Wasserstein Gradient-flow formulation 14:30 Mats Ehrnström (Hannover) Steady waters waves with multiple critical layers 15:00 Jürgen Saal (Darmstadt) Analysis of a General Model in Electrokinetics 15:30h – 16:30h Pause 16:30 Daniela Treutler (Hannover) On the behaviour of solutions to a parabolic evolution equation on two scales 17:00 Bogdan Matioc (Hannover) On two-phases flows modelling thin films in porous media 17:30 Helmut Abels (Regensburg) On a New Diffuse Interface Model for Two-Phase Flows with Different Densitites 18:00 Thomas Marquardt (Potsdam-Golm) A Neumann Problem for Inverse Mean Curvature Flow Dienstag, 20. September Seminargebäude, S13 14:00 Wolfgang Reichel (Karlsruhe) Symmetry of solutions for quasimonotone second-order elliptic systems in ordered Banach spaces 14:30 Friederich Lippoth (Hannover) Classical solutions for a one phase osmosis model 15:00 Anca Matioc (Hannover) Analysis of a two-phase model describing the growth of solid tumors 15:30 Robert Denk (Konstanz) Maximal Lp-regularity of non-local boundary value problems 192
DMV Tagung 2011 - Köln, 19. - 22. September Helmut Abels Universität Regensburg On a New Diffuse Interface Model for Two-Phase Flows with Different Densities We present a new diffuse interface for a two-phase flow of two partialy miscible viscous incompressible fluids with different densities. The model is based on a solenoidal velocity field for the fluid mixture and is thermodynamically consistent and frame indifferent. We briefly discuss its derivation and a recent result on existence of weak solutions for singular free energy densities. This is a joint work with Harald Garcke and Günther Grün (modeling) as well as Daniel Depner and Harald Garcke (analysis). Robert Denk Universtität Konstanz Maximal Lp-regularity of non-local boundary value problems Maximal Lp-regularity of operators corresponding to boundary value problems is closely related to the R-boundedness of the resolvent. In several applications nonlocal operators appear, and one has to consider classes of operators belonging to the Boutet de Monvel calculus. In the talk we present some results on the R-boundedness of pseudodifferential operators and parameter-dependent Green operators. As an application, we consider the Stokes equation in cylindrical domains. The talk is based on joint results with Jörg Seiler. Mats Ehrnström Leibniz Universität Hannover Steady water waves with multiple critical layers We construct steady and periodic gravity water waves with multiple critical layers. Those are i) waves with arbitrarily many critical layers and a single crest in each period, and ii) multimodal waves with several crests and troughs in each period. The mathematical setting is that of the two-dimensional Euler equations with a free surface, a flat bed, and otherwise periodic boundary conditions. In the steady frame, this is an elliptic problem in an unknown domain, and the goal is to find small-amplitude solutions via bifurcation from a solution curve of rotational running streams with stagnation. Using the Lyapunov-Schmidt reduction we find solutions in the vicinity of a particular class of eigenvalues, some of which are not simple. The main novelty lies in the type of vorticity distributions considered, which in their turn influence the kernel of the linearized problem at the bifurcation points. In particular, the problem admits two-dimensional bifurcation. The talk is based on joint work with J. Escher, G. Villari and E. Wahlén. 193
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Frank Kutzschebauch Universität Be
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Ulrich Derenthal Ludwig-Maximilians
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Anna Dall’Acqua Otto-von-Guericke
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André Fischer Center of Smart Inte
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Felix Schulze Freie Universität Be
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Eleutherius Symeonidis Katholische
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Felix Schlenk Universität Neuchât
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Edgar Brunner Universität Götting
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Minisymposium 5 Darstellungstheorie
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Inhaltsverzeichnis - Mathematisches Institut der Universität zu Köln

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