TY - JOUR
T1 - The nonlinear multidomain model: a new formal asymptotic analysis.
JF - Geometry Partial Differential Equations – proceedings, CRM Series (15), 2013.
Y1 - 2013
A1 - Stefano Amato
A1 - Giovanni Bellettini
A1 - Maurizio Paolini
KW - bidomain model, anisotropic mean curvature, star-shaped combination
AB - We study the asymptotic analysis of a singularly perturbed weakly parabolic system of m- equations of anisotropic reaction-diffusion type. Our main result formally shows that solutions to the system approximate a geometric motion of a hypersurface by anisotropic mean curvature. The anisotropy, supposed to be uniformly convex, is explicit and turns out to be the dual of the star-shaped combination of the m original anisotropies.
SN - 8876424724
U1 - 7259
U2 - Mathematics
U4 - 1
U5 - MAT/05 ANALISI MATEMATICA
ER -