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IMA Workshop
Continuum Mechanics and Non-linear Partial Differential Equations
June 8-12, 1998


Organizers:
Richard James
Stefan Mueller
Vladimir Sverák

A workshop held in honor of John Ball on the occasion of his 50th birthday.

This meeting brought together leading experts in nonlinear PDE and Continuum Mechanics. The workshop was supported in part by the Max Planck Research Award from the Humboldt foundation, by the School of Mathematics of the University of Minnesota and by the IMA.

Click on the titles to find abstracts and/or links to presentation materials

SCHEDULE for MONDAY, JUNE 8
W. Miller, F. Dulles,
R. James
Welcome and Orientation
Jerry Marsden,
California Institute of Technology
Computational Mechanics and Collision Algorithms
Felix Otto,
University of California-Santa Barbara
Fingering instability of fluid flow down an inclined plane: an intrinsic linear stability analysis
Weinan E,
Courant Institute
Pattern Formation During Liquid Crystal Phase Transition
Philip Holmes,
Princeton University
Two Models From Nonlinear Optics
SCHEDULE for TUESDAY, JUNE 9
Constantine Dafermos,
Brown University
Genuinely Nonlinear Hyperbolic Systems of Two Conservation Laws
Louis Nirenberg,
Courant Institute
On poperties of solutions of second order elliptic equations
Igor Kukavica,
University of Chicago
Analyticity for the Navier-Stokes Equations
Maria Esteban,
Université Paris Dauphine
About the Evolution of Solid Bodies in an Incompressible Fluid
SCHEDULE for WEDNESDAY, JUNE 10
François Murat,
Université Paris 6
To be announced
L. C. Young
 
Nature & Applications of Young Measures
SCHEDULE for THURSDAY, JUNE 11
David Kinderlehrer,
Carnegie Mellon University
Remarks about the dynamics of the Fokker-Planck Equation
Gero Friesecke,
University of Oxford
Existence and Nonexistence of Minimizers in the Calculus of Variations
Zhouping Xin,
Courant Institute
To be announced
Bernard Dacorogna,
EPFL-Lausanne
Some Geometric Restrictions for the Existence of Viscosity Solutions
SCHEDULE for FRIDAY, JUNE 12
Stuart Anman,
University of Maryland
Quasilinear Parabolic-Hyperbolic Systems from Solid Mechanics
K. Bhattacharya,
California Institute of Technology
To be announced
Mitch Luskin,
University of Minnesota
On the Stability of Crystal Microstructure
Peter Constantin,
University of Chicago
Variational Bounds in Turbulence


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