Royal Dutch Academy of Science (KNAW)
The Division of Mathematics and Computer Science of the Vrije Universiteit
The Mathematical Department of the Autonomous University of Madrid
TMR network Nonlinear Parabolic Partial Differential Equations: Methods And Applications
Scientific committee: |
L.A. Caffarelli, E.J. Doedel, L.A. Peletier, J.L. Vazquez. |
Organising committee: |
C.J. van Duijn, J. Hulshof, D.H. Terman. |
Secretary: |
Ilse Thomson |
Location: |
Room Q 1.05, Vrije Universiteit, Amsterdam, The Netherlands. |
Dates: |
June 6-8, 2001. |
Nonlinear partial and ordinary differential equations appear in mathematical models for many problems in science and engineering. Many interesting phenomena are due to the nonlinearity of the equations. The desire to describe and predict such phenomena by mathematical analysis of the equations and their solutions continues to have a profound impact on the research objectives in both pure and applied mathematics. This has strongly influenced the development of the modern theory of nonlinear partial differential equations, as well as that of finite and infinite dimensional dynamical systems, nonlinear functional analysis and numerical analysis. This conference brings together a group of experts from different fields in mathematics, stimulating interaction and new collaborations in an exciting field.
| 9.00-9.45 | Registration |
Chair:
| 09:45-10:00 | Welcome | ||
| 10:00-10:45 | G.I. Barenblatt | ||
| Self-similar intermediate asymptotics for the non-linear parabolic equations in computer vision | |||
| 10:45-11:30 | L.A. Peletier | ||
| On a class of fourth order nonlinear eigenvalue problems | |||
| 11:45-12:30 | Y.G. Kevrekidis | ||
| Coarse Stability and Bifurcation Analysis Using Time-Steppers |
| 12.30-14.00 | Lunch |
Chair:
| 14.00-14:45 | J.L. Vazquez | ||
| Darcy law: from hydraulics to PDE's | |||
| 14:45-15:30 | S.B. Angenent | ||
| The Focussing Problem in the Porous Medium Equation | |||
| 16:00-16:45 | J. Serrin | ||
A universal boundedness theorem for the
canonical equation
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| 16:45-17:30 | H.F. Weinberger | ||
| Deeds of Don: Aronson's Accomplishments |
| 17.30-19.00 | Reception in the Tuinzaal (same building, far east corner on the ground floor) |
Chair:
| 9:00-9:45 | D. Terman | ||
| A Model for Parkinsonian Rhythms | 9:40-10:30 | C.K.R.T. Jones | |
| Variational Methods in Optical Communications | |||
| 11:00-11:45 | E.J. Doedel | ||
| Continuation of Periodic Solutions in Conservative Systems with Application to the N-Body Problem | |||
| 11:45-12:30 | M. Golubitsky | ||
| Pseudoscalar Bifurcations: Geometric Visual Hallucinations and Liquid Crystals |
| 12.30-14.00 | Lunch |
Chair:
| 14.00-14:45 | H.G. Othmer | ||
| Aggregation in reinforced walks: from lattice to continuum | |||
| 14:45-15:30 | O. Diekmann | ||
| The rhythm of life : patterns of population fluctuations when individuals reproduce only once | |||
| 16:00-16:45 | S.A. van Gils | ||
| Fluxons in the long Josephson junction | |||
| 16:45-17:30 | H.M. Osinga | ||
| The geometry of optimal control: The inverted pendulum example |
| 17.30-19.00 | Dinner |
Chair:
| 9:00-9:45 | M. Bertsch | ||
| On some recent results for the heat flow of harmonic maps | 9:45-10:30 | J.R. King | |
| Some asymptotic results for singularities of the heat flow of harmonic maps | |||
| 11:00-11:45 | P. Rosenau | ||
| Concentration dependent diffusion models | |||
| 11:45-12:30 | M.A. Herrero | ||
| Sol - gel transition in a coagulation - diffusion model |
| 12.30-14.00 | Lunch |
Chair:
| 14.00-14:45 | V. Padron | ||
| Effect of Aggregation on Population Recovery Modeled by a Forward-Backward Pseudoparabolic Equation | |||
| 14:45-15:30 | O. Gil | ||
On the limit
for
 . |
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| 16:00-16:45 | Ying Sue Huang | ||
| Synchronization and Desynchronization in Delayed Neural Networks | |||
| 16:45-17:30 | R.C.A.M. van der Vorst | ||
| Morse theory on spaces of braids and Lagrangian dynamics |
| 17.30- | Weekend |
Detailed information on how to reach the VU by public transportation, car or from our national airport can be found here.
The cheapest way to get from the airport to the hotels (Aalders and ACRO, see below) is to take a train from Schiphol airport to Amsterdam Zuid/WTC. These trains leave quite frequently from Platform 1 and 2. Note that these are NOT the trains to Amsterdam Central Station. Beware of pickpockets.
At WTC you take tram 5 (you have to go down the stairs turn left and take the next stairs going up on your right to the other platform), direction Central Station. Exit at the Hobbemastraat tram stop. Walk back in the direction from which you came by tram and take the first right. You are now in the Jan Luyckenstraat. Hotel Aalders is situated at number 13-15i and Hotel ACRO at number 44.
If you want to go from WTC directly to the University take tram 5 or express tram 51 in the opposite direction, see below
For the train you need a ticket that you can buy at the counter or from the machine. Also buy a "strippenkaart" for the tram.
Most of the guests will be accomodated in hotel Aalders. The full address of the hotel is given below as well as a small map of the surrounding streets. Below you can find a description of how to get from the hotel to the VU and back.
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Leave the hotel and turn right. Take the
first left and you almost immediately arrive at the Hobbemastraat tram
stop. Take tram 5 in the direction of Amstelveen (20-25 minutes),
exit at the VU tram stop.
You can also take a cab to the following address:
|
| Take tram 5 in the direction of Central Station (20-25 minutes), alight: at the Hobbemastraat tram stop. Walk back in the direction from which you came by tram and take the first right. You are now in the Jan Luyckenstraat. Hotel Aalders is situated at number 13-15. |
| Enter the VU Main Building (Hoofdgebouw) through the front entrance and go to the right. Now take the big stairs to the second floor. Turn left and go up one more flight of stairs. The door to the aula is now straight ahead. |
| Instead of walking to the front entrance of the VU Main Building (Hoofdgebouw), walk to the rear of the platform. Here you can cross the street and take a little pathway between the VU Main Building and the Science Building. Walk straight on around the pond and take the first entrance on your left side: De Boelelaan 1081. Now go to the first floor and go west. After 50 meters the lecture room is to your right. In the picture it is the extension of the building between 1081 and 1083. |
For further information contact J. Hulshof