Analysis seminar

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For Zoom URL please contact Laura Keller

Autumn Semester 2010

Date / Time

Speaker

Title

Location

14 September 2010
15:15-16:15

G.M. Coclite
University of Bari, Italy

Event Details

Analysis Seminar

Title	Vanishing viscosity on networks
Speaker, Affiliation	G.M. Coclite, University of Bari, Italy
Date, Time	14 September 2010, 15:15-16:15
Location	HG G 43
Abstract	We consider the vanishing viscosity approximation of the traffic model proposed by Lighthill, Whitham, and Richards, in a network composed by a single junction with n incoming and m outgoing roads. We prove that a solution of the parabolic approximation exists and, as the viscosity vanishes, the solution of the parabolic problem converges to a solution of the original problem. The results were obtained in collaboration with Professor Mauro Garavello.

Vanishing viscosity on networksread_more

HG G 43

21 September 2010
15:15-16:15

Iskander Taimanov
Novosibirsk State University

Event Details

Analysis Seminar

Title	The Willmore Functional and Spectral Theory
Speaker, Affiliation	Iskander Taimanov, Novosibirsk State University
Date, Time	21 September 2010, 15:15-16:15
Location	HG G 43

The Willmore Functional and Spectral Theory

HG G 43

5 October 2010
15:15-16:15

Dr. John Head
MPI Golm

Event Details

Analysis Seminar

Title	Estimates for mean curvature flow with surgeries of two-convex hypersurfaces
Speaker, Affiliation	Dr. John Head , MPI Golm
Date, Time	5 October 2010, 15:15-16:15
Location	HG G 43
Abstract	Abstract: Huisken and Sinestrari have recently developed a surgery-based approach to mean curvature flow of two-convex hypersurfaces according to which one removes, by hand, the regions of large curvature before a singularity forms. The program is controlled by a set of parameters prescribing when and where surgery is to be performed, and does not produce a weak solution of the flow in the traditional sense since it involves a non-canonical modification of the surface at each surgery time. In this talk we review the main ingredients in the Huisken-Sinestrari program and use them to produce new estimates for mean curvature flow with surgeries. Furthermore, by considering the effect of varying the surgery parameters, we determine the relationship between this solution and the well-known weak solution of the level-set flow.

Estimates for mean curvature flow with surgeries of two-convex hypersurfaces read_more

HG G 43

12 October 2010
15:15-16:15

Dr. Simon Blatt
ETH Zurich, Switzerland

Event Details

Analysis Seminar

Title	The Gradient Flow of O'Hara's Knot Energies
Speaker, Affiliation	Dr. Simon Blatt, ETH Zurich, Switzerland
Date, Time	12 October 2010, 15:15-16:15
Location	HG G 43
Assets	file_download

The Gradient Flow of O'Hara's Knot Energiesread_more

HG G 43

26 October 2010
15:15-16:15

Prof. Dr. Wilhelm Schlag
ETH and University of Chicago

Event Details

Analysis Seminar

Title	Curvature in harmonic analysis
Speaker, Affiliation	Prof. Dr. Wilhelm Schlag , ETH and University of Chicago
Date, Time	26 October 2010, 15:15-16:15
Location	HG G 43
Abstract	We will review some developments in harmonic analysis which relate the curvature of a manifold to regularity properties of averaging operators associated with these manifolds. As it turns out, these properties reveal connections between measure theory (Kakeya sets), combinatorics (so-called extremal graph theory), harmonic analysis (restriction property of the Fourier transform), and PDEs (Strichartz estimates).

Curvature in harmonic analysisread_more

HG G 43

2 November 2010
15:15-16:15

Dominik Tasnady
Universität Zürich

Event Details

Analysis Seminar

Title	The existence of embedded minimal hypersurfaces
Speaker, Affiliation	Dominik Tasnady, Universität Zürich
Date, Time	2 November 2010, 15:15-16:15
Location	HG G 43

The existence of embedded minimal hypersurfaces

HG G 43

30 November 2010
15:15-16:15

Joachim Krieger
UPenn

Event Details

Analysis Seminar

Title	Global solutions for a model problem related to Landau's equation
Speaker, Affiliation	Joachim Krieger, UPenn
Date, Time	30 November 2010, 15:15-16:15
Location	HG G 43
Abstract	I will discuss recent work, joint with R. Strain (Upenn), on global solutions to a non-local diffusion equation with quadratic nonlinearity.

Global solutions for a model problem related to Landau's equationread_more

HG G 43

7 December 2010
15:15-16:15

Prof. Dr. Edriss Titi
University of California

Event Details

Analysis Seminar

Title	On the Loss of Regularity for the Three-Dimensional Euler Equations
Speaker, Affiliation	Prof. Dr. Edriss Titi, University of California
Date, Time	7 December 2010, 15:15-16:15
Location	HG G 43
Assets	AbstractTitifile_download

On the Loss of Regularity for the Three-Dimensional Euler Equationsread_more

HG G 43

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Organizers: Francesca Da Lio, Tom Ilmanen, Thomas Kappeler, Tristan Rivière, Michael Struwe

Archive: SS 24 AS 23 SS 23 AS 22 SS 22 AS 21 SS 21 AS 20 SS 20 AS 19 SS 19 AS 18 SS 18 AS 17 SS 17 AS 16 SS 16 AS 15 SS 15 AS 14 SS 14 AS 13 SS 13 AS 12 SS 12 AS 11 SS 11 AS 10 SS 10 AS 09