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Workshop on Nonlinear Waves and Hyperbolic Equations

 

Organized by:
Alberto Bressan, Gui-Qiang Chen, Helge Holden,
Kenneth H. Karlsen and Sigmund Selberg

 

Venue:
Centre for Advanced Study (CAS)
at the Norwegian Academy of Science and Letters,
Drammensveien 78, 0271 Oslo, Norway
Contact info/Map

The workshop took place in the Academy's lecture hall (2nd floor).

Time:
August 20 – 22, 2008

Poster (pdf)

About the workshop:

Understanding properties of nonlinear partial differential equations modeling nonlinear wave phenomena is a fundamental challenge in pure and applied mathematics. In recent years the field has seen many advances in theory, numerics and applications. Long-established open problems have been successfully handled with new techniques, and new phenomena and models have been discovered. The goal of the workshop is to bring together experts in an informal setting to learn more about current trends in the field.

The workshop is part of a basic research program at Centre for Advanced Study at the Norwegian Academy of Science and Letters on Nonlinear Partial Differential Equations for the academic year 2008/2009.

Themes:

  • Hyperbolic conservation laws
  • Free boundary problems
  • Transport equations
  • Wave equations
  • Camassa-Holm and related equations
  • Compressible fluid flow


Program:

Wednesday August 20

09:45-10:15 Coffee and cake
10:15-11:00 Sergiu Klainerman (Princeton)
"Recent progress on the bounded L2 curvature conjecture in General Relativity" Abstract
11:15-12:00 Constantine Dafermos (Providence)
"Polyconvexity in hyperbolic conservation laws" Abstract
12:00-13:15 Lunch
13:15-14:00 Benoit Perthame
(Paris)
"Adaptive evolution; concentrations in parabolic PDEs and constrained Hamilton-Jacobi equations" Abstract
14:15-15:00 Camillo De Lellis (Zürich)
"h–Principle and fluid dynamics" Abstract
15:00-15:30 Coffee and fruit
15:30-16:15 Ragnar Winther (Oslo)
"Finite element exterior calculus and discretizations of the elasticity complex" Abstract
                     
Thursday August 21
09:00-09:45  Gui-Qiang Chen
(Evanston)
"Shock Reflection-Diffraction, Transonic Flow, and Free Boundary Problems (I)" Abstract
09:45-10:15 Coffee and cake
10:15-11:00 Mikhail Feldman
(Wisconsin)
"Shock Reflection-Diffraction, Transonic Flow, and Free Boundary Problems (II)" Abstract
11:15-12:00 Peter Lindqvist (Trondheim)
"The Gradients of Parabolic Viscosity Supersolutions" Abstract
12:00-13:15 Lunch
13:15-14:00 François Bouchut
(Paris)
"Transport equations with coefficient having a gradient given by a singular integral, and applications"  
14:15-15:00 Wen Shen
(State College)
"On a Model of Granular Flow" Abstract
15:00-15:30 Coffee and fruit
15:30-16:15 Maria Esteban (Paris)
"Critical threshold for electronic stability under the action of an intense magnetic field" Abstract
18:30 CONFERENCE DINNER (in-house)
 
Friday August 22
09:00-09:45  Alberto Bressan
(State College)
"Some well-posedness results for nonlinear wave equations" Abstract
09:45-10:15 Coffee and cake
10:15-11:00 Monica Torres (West Lafayette)
"On the structure of solutions of multidimensional systems of conservation laws" Abstract
11:15-12:00 Tai-Ping Liu (Stanford)
"Invariant Manifolds for Stationary Boltzmann Equation" Abstract
12:00-13:15 Lunch

 

 
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