On an SPDE describing amorphous surface growth

  • Dirk Blömker (Universität Augsburg, Augsburg, Germany)
G3 10 (Lecture hall)


We discuss a stochastic partial differential equation arising as a phenomenological model in amorphous surface growth. The dynamics shows the formation of parabola shaped hills of a characteristic length scale, which then slowly coarsen.

Although numerical approximations seem to converge very fast, the equation exhibits similar problems than 3D-Navier Stokes, and it is an open question, whether the model has solutions that blow up and therefore non-uniqueness.

Katja Bieling

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Patrick Dondl

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Stephan Luckhaus

Universität Leipzig

Max von Renesse

Technische Universität Berlin