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Singularities in mechanics :
formation, propagation, and microscopic description.



Course : “ Interfaces and hydrodynamic instabilities”


Lecturers
Paul Clavin, IRPHE, Marseille
Claude Bardos, IMJ, Université Paris VII

Summary
I.
-Rayleigh Taylor instabilities
-Asymptotic abalysis and numerical results
-Singularities in ablative front dynamics.
II. Instabilities of interfaces in fluid mechanics.
- mathematical description of interfaces
(problems of Kelvin Helmholtz, Rayleigh Taylor, surface waves)
- analyticity properties and instabilities of interfaces
- some applications


Administrative information
This set of lectures will be part of the spring school.
Duration : 8 hours
Dates : March 10-14, 2008