TU Wien
Universität Wien
Wolfgang Pauli Institute
Wissenschaftskolleg (PhD program) Differential Equations |
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The WK-PhD | Members | Organization | Bylaws | Positions |

## Time Table

## WK Summer Camp 2010

Time:June 27 - July 3, 2010

Location:Hotel Regitnig, Weißensee, Kärnten

Program:Short courses taught by Christian Schmeiser and Klemens Fellner, student presentations, research work in small groups, swimming, hiking and other outdoor activities

## Short Course: Shear Layer Instabilities

Speaker:Prof. Jonathan J. Healy (Keele University, UK)

Location:TU Vienna, seminar room 322, Resselgasse 2, Stiege 2

Time:Monday, April 12, 4pm to 6pm

Tuesday, April 13, 4pm to 6pm

Thursday, April 15, 4pm to 6pm

Contents:

Derivation of disturbance equations (Rayleigh and Orr-Sommerfeld)

Inviscid Flows:

Inviscid stability theorems (inflexion points, Howard's semi-circle), Piecewise linear inviscid profiles (Kelvin-Helmholtz, a boundary layer),

Critical layer (Tollmien's solutions), Long wave inviscid solutions giving a layered structure,

Matched asymptotic expansions to derive dispersion relations

Viscous Flows:

Weakly nonparallel flow, Upper branch scalings, Destabilizing effect of viscosity, Lower branch scalings

Weakly nonlinear theory:

Solvability conditions, Multiple-scales theory, Amplitude equations, Wave interaction

Absolute and convective instabilities

Case studies:

Rotating disc boundary layer, Swirling jets and vortex breakdown, Mixing layers

## WK Summer Camp 2009

Time:July 5-11, 2009

Location:Hotel Regitnig, Weißensee, Kärnten

Program:3 short courses taught by Heinrich Freistühler (Univ. Konstanz), Jürgen Jost (MPIM Leipzig), Slides: part 1, part 2, part 3 and Vuc Milisic (IMAG Grenoble), slides ; student presentations, slides: Sofi Esterhazy, Ilona Gucwa, Jan Sprenger, research work in small groups, swimming, hiking and other outdoor activities

## WK Summer Camp 2008

Time:July 6-13, 2008

Location:Hotel Regitnig, Weißensee, Kärnten

Program:3 short courses, research work in small groups, swimming, hiking and other outdoor activities

Topics in Traffic Flow:Short course taught by Michel Rascle (WPI and Univ. de Nice),

Slides: part 1, part 2, part 3

Compactness Methods in PDE Theory:Short course taught by Jan Haskovec (TU Wien)

TBA:Short course taught by Christian Schmeiser (Univ. Wien)

## WK Summer Camp 2007

Time:July 1-8, 2007

Location:Hotel Regitnig, Weißensee, Kärnten

Program:3 short courses, research work in small groups, swimming, hiking and other outdoor activities

Topics in Mass Transportation:Short course taught by Marco di Francesco (Univ. l'Aquila)

Functions of Self-Adjoint Operators:Short course taught by Jens Bierwirth (TU Wien)

- semi-groups of linear operators (and Stone's theorem),
- functions of self-adjoint operators,
- application, a formal solution of the one-way-wave equation

Diagonal defect measures and the 2D Keller-Segel model:Short course taught by Christian Schmeiser

## Short course: Finite Volume and Finite Element Methods in CFD

Time:April 23-29, 2007

Location:WPI seminar room

Lecturer:Miloslav Feistauer (Praha)

Contents:Fundamental laws and equations of fluid dynamics,

Finite volume methods for the Euler equations,

combined finite volume - finite element methods for the Navier-Stokes equations,

Discontinuous Galerkin finite element method

## WK Summer Camp 2006

Time:July 2-9, 2006

Location:Hotel Regitnig, Weißensee, Kärnten

Program:3 short courses, research work in small groups, swimming, hiking and other outdoor activities

Introduction to Elasticity Theory:Short course taught by Yasmin Dolak-Struss (Univ. Wien)

TBA:Short course taught by Klemens Fellner (Univ. Wien)

Brownian Motion and Ito Calculus:Short course taught by Christian Bayer (TU Wien)

## Short Course: Numerical methods for conservation laws

Time:Jan. 16 - Jan. 25 (2006)

Speaker:Prof. Christian Ringhofer (Arizona State University)

Location:WK seminar room, Nordbergstrasse 15

Timetable:Jan. 16, 11:00-12:30

Jan. 17, 14:00-15:30

Jan. 18, 11:00-12:30

Jan. 23, 11:00-12:30

Jan. 24, 12:30-14:00

Jan. 25, 14:00-15:30

## WK Summer Camp 2005

Time:July 10-17, 2005

Location:Hotel Regitnig, Weißensee, Kärnten

Program:2 or 3 short courses, research work in small groups, swimming, hiking and other outdoor activities

## Short Course: An introduction to homogenization theory

Time:Jan. 25, Jan. 27, Feb. 1, Feb. 3 (2005), 16:00

Speaker:Prof. Thierry Goudon (Univ. de Lille 1)

Location:WK seminar room, Nordbergstrasse 15

Tentativetable of contents:

Homogenization of elliptic problems

Compensated compactness

Double scale convergence and applications

Time dependent problems

## Workshop: Modelling of Cell Motility and Angiogenesis

Organizers:Y. Dolak, H. Othmer, B. Perthame, C. Schmeiser, A. Stevens

Time:November 8-12, 2004

More information

## Short Course: Viscosity solutions for nonlinear elliptic partial differential equations

Time:October 14-28, 2004

Speaker:Prof. Jorge Salazar (CMAF Lisboa and Univ. de Evora)

Location:WK seminar room, Nordbergstrasse 15

Schedule:

Lecture 1: Oct. 14, 15:00

Lecture 2: Oct. 21, 15:00

Lecture 3: Oct. 28, 15:00

Abstract:The theory of viscosity solutions was originally developed to understand 1st. order equations. Later, it was successfully extended to cover fully nonlinear 2nd. order elliptic and parabolic equations. This notion of solutions is surprisingly weak. Since candidates for solutions are just continuous functions. In fact, we only require that "test" polynomials (those who are tangent to the graph of u) satisfy the correct differential inequality (at the point of tangency). Very general existence results are combined with regularity theory to obtain a well developed and powerful tool to study a large class of PDE's. In these three talks, we'll focus on fully nonlinear elliptic equations, maximum principle, Harnack inequality and uniqueness (if time permits).

## WK Summer Camp 2004

Time:July 4-11, 2004

Location:Hotel Regitnig, Weißensee, Kärnten

Program:Lectures, research work in small groups, swimming, hiking and other outdoor activities

## WK Summer Camp 2003

Time:July 5-11, 2003

Location:Hotel Regitnig, Weißensee, Kärnten

Program:Research work in small groups, a small number of lectures, swimming, hiking and other outdoor activities

## Short Course: Numerical methods for collisional kinetic equations

Time:June 12-17, 2003

Speaker:Prof. Lorenzo Pareschi (Ferrara)

Program:

Lecture 1: Boltzmann equations

Time: Thursday, June 12, 2:00 p.m.

Location: seminar room, Boltzmanngasse 9

Lecture 2: Spectral methods

Time: Friday, June 13, 10:00 a.m.

Location: seminar room, Wiedner Hauptstr. 8-10, 4th floor

Lecture 3: Monte Carlo methods

Time: Monday, June 16, 4:00 p.m.

Location: seminar room, Wiedner Hauptstr. 8-10, 4th floor

Lecture 4: Other methods

Time: Tuesday, June 17, 3:30 p.m.

Location: seminar room, Wiedner Hauptstr. 8-10, 4th floor

## Short Course: Coherent structures, mixing and flow control using dynamical system methods

Time:First lecture: Tuesday, March 18, 2003, 10:30

Location:Seminar room of the Institute for Mechanics, Wiedner Hauptstraße 8-10, yellow area, 3rd floor

Speaker:Prof. George Haller (MIT)

## Short Course: Asymptotic theory of flow separation

Time:Mondays, Wednesdays, and Fridays between March 3 and March 14, 2003, at 14:15 - 15:45

Location:Seminar room of the Institut für Strömungslehre und Wärmeuebertragung, TU, Resselgasse 3

Speaker:Prof. A. Ruban (Manchester)

## WK Summer Camp 2002

Time:July 22-26, 2002

Location:Embergeralm (1800m altitude), Kärnten

Program:Research work in small groups, a small number of lectures, hiking and other outdoor activities

## Workshop: Nonlinear models and analysis

Organizers:L. Caffarelli, R. Manasevich, P.A. Markowich, H. Shahgholian

Time:May 20-24, 2002

Location:ESI lecture room, Boltzmanngasse 9

Topics:Free boundaries, fully nonlinear equations, variational methods, quasilinear elliptic and parabolic equations, nonlinear transport equations

Introductory talks:

Y. Brenier: Optimal Current Transportation: from Monge to Maxwell (abstract)

L. Caffarelli: Navier-Stokes Equations - A Millenium Problem

P. Souganidis: Fully Nonlinear Stochastic PDEs

J.L. Vazquez: Nonlinear Diffusion Equations

C. Villani: Qualitative Properties of Kinetic Models

Some other talks:

M.Crandall: An Efficient Derivation of the Aronsson Equation

M.Elgueta: Blow up for solutions

J.Busca: Moment Methods and Qualitative Properties of Entire

A.Farina: Symmetry for nonlinear PDE`s: a geometrical approach

J.Dolbeault: Bubble-tower radial solutions in the slightly supercritical Brezis-Nirenberg problem

C.Gutierrez: Second derivatives estimates for the linearized Monge-Ampere equation

M.J.Esteban: On the nonrelativistic limit of the Dirac-Fock equations and its relation with quantum field theory

## Short Course: Scaling limits of interacting particles systems

Lecturer:Claudio Landim

Times:March 12, 14, 19, and 21; 2-4 p.m.

Location:Seminar room, Boltzmanngasse 9

Program:

1) Central Limit Theorem for Martingales and Markov Chains.

2) Central Limit Theorem for Markov Processes. Reversibility and sector conditions.

3) Simple exclusion processes and tagged particles.

4) Central Limit Theorem for a tagged particle in the exclusion process.

Literature:

1) Liggett, Interacting particle systems, Springer 1985.

2) Kipnis and Landim. Scaling limits of interacting particles systems, Springer 1999.

3) Landim, Olla, Central Limit Theorems for Markov Processes, Notes, 2001.

## Workshop: Semiclassical limits: WKB methods vs Wigner transform methods

Organizers:P. Gerard, Shi Jin, P.A. Markowich, N.J. Mauser

Time:November 22-25, 2001

Location:ESI lecture room, Boltzmanngasse 9

Program

## Workshop: Hydrodynamic Limits: Results and Perspectives

Organizers:P.A. Markowich, N.J. Mauser

Time:October 22-24, 2001

Location:ESI lecture room, Boltzmanngasse 9

Program

## Short Course: Introduction to Hydrodynamic Limits and Fluctuations

Lecturer:Davide Gabrielli (Univ. l'Aquila)

Abstract

Times:October 2, 3, 4, 9, 10, and 11; 10-12 a.m.

Location:Seminar room, Boltzmanngasse 9

## Summer School: NLS

Time:July 25 - August 10, 2001

Location:Erwin Schrödinger Institute, Boltzmanngasse 9

Courses:

July 25 - Aug 3: Wilhelm Schlag (Caltech),Harmonic Analysis and PDEs(Lecture Notes)

July 25 - July 31: Alexander Komech (Moscow),On attractors of nonlinear Hamiltonian wave equations. Relations to mathematical problems of quantum physics

Aug 1 - 7: Norbert J. Mauser (Wien),Wigner transform techniques for NLS

Aug 6 - 10: Frank Merle (Cergy-Pontoise),Blow-up for NLS and critical GKdV equation: existence and description

Aug 8 - 10: Philippe Bechouche (Wien),NLS in a crystal: Wigner-Bloch series

Program

## Short Course: Applied Fluid Mechanics

Lecturers:Yuriko Renardy (Virginia Tech), Michael Renardy (Virginia Tech)

Times:June 21, 22, and 25, 11 a.m. - 12 a.m.

Location:Seminar room, Boltzmanngasse 9

Lecture titles:

1) Numerical simulations of bamboo waves (abstract)

2) Numerical simulations of drop deformation and breakup (abstract)

3) Breakup and non-breakup of viscoelastic fluid jets (abstract)

4) Shape control in linear elasticity (abstract)

## Workshop: Poisson Geometry

Organizer:P. Michor

Time:June 13 - June 22, 2001

Location:Erwin Schrödinger Institute, Boltzmanngasse 9

Program

## Short Course: Invariant Manifolds in Singular Perturbation Theory

Lecturer:Stefan Siegmund (Univ. Augsburg), stefan.siegmund@math.uni-augsburg.de

Times:

June 6, 10 a.m. - 11 a.m. and 11:30 a.m. - 12:30 p.m.

June 7, 10 a.m. - 11 a.m.

Location:Seminar room, Wiedner Hauptstraße 8-10, green area, 4th floor

## Short Course: 3D Navier-Stokes and Euler Equations with Initial Data Characterized by Uniformly Large Vorticity

Lecturer:Alex Mahalov (Arizona State University), alex@taylor.la.asu.edu

Times and Locations:

May 30, 2 p.m. - 3 p.m., seminar room, Boltzmanngasse 9

May 31, 4 p.m. - 5 p.m., seminar room, Boltzmanngasse 9

## Short Course: Inverse Problems in Differential Equations

Lecturer:Jorge Zubelli (IMPA), zubelli@impa.br

Times and Locations:

May 29, 11 a.m. - 12 a.m., seminar room, Boltzmanngasse 9

May 30, 11 a.m. - 12 a.m., seminar room, Boltzmanngasse 9

May 31, 11 a.m. - 12 a.m., seminar room, Boltzmanngasse 9

June 1, 11 a.m. - 12 a.m., seminar room, Boltzmanngasse 9

Transparencies 1, Transparencies 2, Transparencies 3 (ps.gz-files)