| Title | The nonlinear multidomain model: a new formal asymptotic analysis. |
| Publication Type | Journal Article |
| Year of Publication | 2013 |
| Authors | Amato, S, Bellettini, G, Paolini, M |
| Journal | Geometry Partial Differential Equations – proceedings, CRM Series (15), 2013. |
| ISBN Number | 8876424724 |
| Keywords | bidomain model, anisotropic mean curvature, star-shaped combination |
| Abstract | 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. |
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