Monday, May 22
MS1
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