An international workshop on

Recent Advances in Nonlinear PDEs

CMA, University of Oslo, Norway
March 3-4, 2005.

Introduction:

Understanding properties of nonlinear PDEs is a fundamental challenge in pure and applied mathematics. The field has recently seen major advances in both theory, numerics and applications. Long-standing open problems have been successfully handled with novel techniques and new phenomena have been discovered. At the same time a wide variety of new models and equations are being considered. The goal of the workshop is to bring together experts in an informal setting where specialists, students, and non experts can learn about current trends in the field.

Themes:

• Evolutionary PDE
• Hyperbolic Conservation Laws
• Kinetic Theory
• Free Boundary Problems
• Solid Mechanics and Elasticity
• Compressible and Incompressible Fluid Flow

Invited speakers:

• Simone Calogero (Norwegian University of Science and Technology)
• Gui-Qiang Chen (Northwestern University)
• Giuseppe Maria Coclite (Centre of Mathematics for Applications)
• Camillo De Lellis (Universität Zürich)
• Eduard Feireisl (Academy of Sciences of the Czech Republic)
• Helge Holden (Norwegian University of Science and Technology)
• Henrik Kalisch (University of Bergen/NTNU)
• Philippe LeFloch (Laboratoire Jacques-Louis Lions)
• Sebastian Noelle (RWTH Aachen)
• Nils Henrik Risebro (Centre of Mathematics for Applications)
• Sigmund Selberg (Norwegian University of Science and Technology)
• Michael Sever (Hebrew University of Jerusalem)
• Anders Szepessy (Royal Institute of Technology)
• Mark Williams (University of North Carolina at Chapel Hill)

Full list of participants here (added March 7).

Program

Thursday, March 3:

0855-0900 Welcome
0900-0945 Philippe LeFloch: Title: Nonclassical shocks and kinetic relations generated by zero diffusion-dispersion limits. Abstract.
1000-1045 Eduard Feireisl: Title: Mathematics of viscous, compressible, and heat conducting fluids. Abstract.
1045-1115 **Coffee
1115-1200 Camillo De Lellis: Title: Nonlinear versions of the BV structure theorem and of Vol'pert chain rule. Abstract.
1200-1330 **Lunch
1330-1415 Mark Williams: Title: Stability of multidimensional detonations. Abstract.
1430-1515 Nils Henrik Risebro. Title: A difference scheme for a nonlinear wave equation. Abstract.
1515-1545 **Coffee
1545-1630 Henrik Kalisch: Title: Hamiltonian Long-Wave Expansions for Free Surfaces and Interfaces. Abstract.
1630-1715 Giuseppe Maria Coclite Title: Singular Limits Problems for Shallow Water Equations. Abstract.

1930-.... Workshop dinner.

Friday, March 4:

0900-0945 Gui-Qiang Chen: Title: Multidimensional Supersonic and Transonic Shock Waves. Abstract.
1000-1045 Michael Sever: Title: Solution of the model system for singular shocks. Abstract.
1045-1115 **Coffee
1115-1200 Anders Szepessy: Title: Stochastic hydrodynamic limits of Stochastic Ising models. Abstract.
1200-1330 **Lunch
1330-1415 Sebastian Noelle: Title: Well-balanced schemes of arbitrary order of accuracy for geophysical flows. Abstract.
1430-1515 Helge Holden: Title: Numerical approximations for the Camassa-Holm equation. Abstract.
1515-1545 **Coffee
1545-1630 Simone Calogero: Title: Collisionless Plasmas with data on a past light cone and the no-incoming radiation condition. Abstract.
1630-1715 Sigmund Selberg: Title: Scaling and concentration phenomena for nonlinear wave equations. Abstract.

Travel description

Visiting address: Moltke Moes vei 35, (Mathematics building),
no 14 on this map. More detailed travelling description here.

Organizing committee:

• Kristian Jenssen (North Carolina State University)
• Kenneth H. Karlsen (CMA)