Time Table

Time	Event
27/06-03/07, 2010	WK Summer Camp 2010
12/04-16/04, 2010	Short course: Shear Layer Instabilities
05/07-11/07, 2009	WK Summer Camp 2009
06/07-13/07, 2008	WK Summer Camp 2008
21/01-23/01, 2008	Short course: Inverse Problems in Biophysical Models
01/07-08/07, 2007	WK Summer Camp 2007
23/04-29/04, 2007	Short course: Finite Volume and Finite Element Methods in CFD
06/11-08/11, 2006	Workshop: Mathematical Modelling of Actin-Based Motility
02/09-23/09, 2006	Summer school: Mathematics in molecular cell biology
02/07-09/07, 2006	WK Summer Camp 2006
12/06-14/06, 2006	Workshop: The Gross-Pitaevskii and related equations with nonzero boundary conditions at infinity
26/04-12/05, 2006	Short course: Wavelets and PDEs
10/04-14/04, 2006	Workshop: Navier-Stokes and turbulence
22/03-24/03, 2006	Workshop: Feynman-Kac formulas and their applications
21/03-22/03, 2006	Workshop: Free boundaries and PDEs in biology
13/03-17/03, 2006	Workshop: Euler equations: theory and numerical simulations
27/02-02/03, 2006	Short course: The young persons guide to Euler and Navier-Stokes equations: how not to earn one million dollars with mathematics
23/01-27/01, 2006	Workshop: Symmetries of solutions of nonlinear elliptic PDEs
16/01-27/01, 2006	Short course: Numerical methods for conservation laws
10/11-12/11, 2005	Workshop: Cell motility and cytoskeletal dynamics
24/10-25/10, 2005	Conference: Nonlinear PDEs (in honor of L. Caffarelli)
19/07-27/07, 2005	Summer school: Nonlinear PDEs
10/07-17/07, 2005	WK Summer Camp 2005
25/01-03/02, 2005	Short course: An introduction to homogenization theory
24/11-27/11, 2004	Workshop: Analysis and numerics of (semi/non-)relativistic approximations of the Vlasov-Maxwell system
08/11-12/11, 2004	Workshop: Modelling of cell motility and angiogenesis
14/10-28/10, 2004	Short course: Viscosity solutions for nonlinear elliptic partial differential equations
07/07-14/07, 2004	Summer school: Nonlinear wave equations
04/07-11/07, 2004	WK Summer Camp 2004, (Pictures)
05/07-11/07, 2003	WK Summer Camp 2003, (Pictures)
12/06-17/06, 2003	Short Course: Numerical methods for collisional kinetic equations
17/03-21/03, 2003	Short Course: Coherent structures, mixing and flow control using dynamical system methods
03/03-14/03, 2003	Short Course: Asymptotic theory of flow separation
22/07-26/07, 2002	WK Summer Camp 2002
20/05-24/05, 2002	Workshop: Nonlinear models and analysis
12/03-21/03, 2002	Short Course: Scaling limits of interacting particles systems
22/11-25/11, 2001	Workshop: Semiclassical limits: WKB methods vs Wigner transform methods
22/10-24/10, 2001	Workshop: Hydrodynamic Limits: Results and Perspectives
02/10-11/10, 2001	Short Course: Introduction to Hydrodynamic Limits and Fluctuations
25/07-10/08, 2001	Summer School: NLS
21/06-25/06, 2001	Short Course: Applied Fluid Mechanics
13/06-22/06, 2001	Workshop: Poisson Geometry
06/06-07/06, 2001	Short Course: Invariant Manifolds in Singular Perturbation Theory
30/05-31/05, 2001	Short Course: 3D Navier-Stokes and Euler Equations with Initial Data Characterized by Uniformly Large Vorticity
29/05-01/06, 2001	Short Course: Inverse Problems in Differential Equations

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 Tentative table 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)