Veranstaltungen
Veranstaltungen der Fakultät für Mathematik
Mathematical Modelling with Fully Anisotropic Diffusion, als mathkol
Termin
28.09.2012, 11.15 Uhr -
Veranstaltungsort
Mathematik-Gebäude, Seminarraum M511
Abstract
With fully anisotropic I describe diffusion models of the form
u_t=\nabla \nabla (D(x) u), where the diffusion tensor appears inside both
derivatives. This model arises naturally in the modeling of brain
tumor spread and wolf movement and other applications. Since this
model does not satisfy a maximum principle, it can lead to interesting
spatial pattern formation, even in the linear case. I will present a
detailed derivation of this model and discuss its application to brain
tumors and wolf movement. Furthermore, I will present an example
where, in the linear case, the solution blows-up in infinite time; a
quite surprising result for a linear parabolic equation
(joint work with K.J. Painter and M. Winkler).
(joint work with K.J. Painter and M. Winkler).
Vortragende(r)
Prof. Dr. Thomas Hillen
Herkunft der/des Vortragenden
University of Alberta, Kanada