Spring 1998

IMA Workshop:

Continuum Mechanics and Non-linear Partial Differential Equations

June 8-12, 1998

Organizers:
Richard James
Stefan Mueller
Vladimir Sverák

Participants

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

1997-1998 Emerging Applications of Dynamical Systems