Videos

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.