Fachbereich Mathematik und Statistik
Prof. Dr. R. Denk, Prof. Dr. R. Racke, Prof. Dr. O. Schnürer
Im
Oberseminar Partielle Differentialgleichungen
gibt es am
Donnerstag, dem 19. Mai 2016,
einen Vortrag von
Dipl.-Math. techn. Markus Maier
(KIT - Universität Karlsruhe)
“ The Mathematical Analysis of a Micro Scale Model for Li-ion Batteries ”
Beginn: 15.15 Uhr
Raum: F 426
Interessenten sind herzlich willkommen!
R. Denk, R. Racke, O. Schnürer
Abstract:
In this talk we discuss a quasi-linear elliptic-parabolic system of pdes with a strongly nonlinear interface
condition arising in the modeling of the electro-chemical processes in Li-ion batteries on the micro scale.
Using a Schauder fixed point argument we establish local existence of weak solutions by exploiting the
properties of the elliptic subproblem and applying a maximal parabolic regularity for inhomogeneous
Neumann conditions on non-smooth domains. In three or less spatial dimensions we obtain uniqueness of
these solutions by Sobolev embeddings.
As auxillary results we discuss two finite element discretizations of the elliptic subproblem and present some
numerical results.
(invited by Prof. Dr. Robert Denk)

Curriculum Vitae

Prof. Dr. Dirk Pauly - FB Mathematik und Statistik