Monday, May 22

Instabilities and Breakdown of Asymptotic Models in Continuum Mechanics

10:00 AM-12:00 PM
Room: Liberty C

The speakers in this minisymposium will describe the physics, modelling, and mathematical analysis of asymptotic models of continuum mechanics problems. They will focus on nonlinear models that produce finite-time singularities. Instabilities in long-wave models for the evolution of thin viscous films can yield rupture or blow-up -- signalling breakdown of the reduced models. But do they correctly describe qualitative structural changes in the original problems? The speakers will discuss thin liquid films, thin jets of liquid, and thin solid films.

Organizers: Thomas P. Witelski
Duke University, USA
Mary Pugh
University of Pennsylvania, USA
10:00-10:25 Curvature Collapse and Jets in Standing Waves
Daniel P. Lathrop, University of Maryland, College Park, USA
10:30-10:55 Similarity Solutions for Capillary Pinch-Off of a Viscous Thread
Wendy Zhang, Harvard University, USA; and John R. Lister, Cambridge University, United Kingdom
11:00-11:25 Dynamics and Stability of Van der Waals Driven Thin Film Rupture
Andrew J. Bernoff, Harvey Mudd College, USA; and Thomas P. Witelski, Organizer
11:30-11:55 Asymptotic Models for Quantum Dot Formation in Strained Films
Brian J. Spencer, State University of New York, Buffalo, USA

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