Blowup dynamics of an unstable thin-film equation
Presenter
July 15, 2008
Keywords:
- Thin film
MSC:
- 74K35
Abstract
Long-wave unstable thin-film equations exhibit rich
dynamical behavior: Solutions can spread indefinitely, converge to a
steady droplet configuration or blow up in finite time.
We will discuss the properties of scaling solutions that govern
the blowup dynamics. In particular, we will present how energy based
methods can be used to study the stability of selfsimilar blowup solutions
as well as other dynamical properties of the blowup solutions.
Strong connections to studies of blowup behavior in other equations will
be indicated.