GENERALIZED CRYSTALLINE EVOLUTIONS AS LIMITS OF FLOWS WITH SMOOTH ANISOTROPIES

Antonin Chambolle (1) , Massimiliano Morini (2) , Matteo Novaga (3) , Marcello Ponsiglione (4)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
2 Dipartimento di Matematica e Informatica [Parma]
3 Dipartimento di Matematica Pura e Applicata [Padova]
4 Sapienza University of Rome - Dipartimento di Matematica "Guido Castelnuovo" [Roma I]

We prove existence and uniqueness of weak solutions to anisotropic and crystalline mean curvature flows, obtained as limit of the viscosity solutions to flows with smooth anisotropies.

Mots clés: Geometric evolution equations; Crystalline mean curvature flow; level set formulation

Domaines: Analyse numérique [math.NA]

Antonin Chambolle, Massimiliano Morini, Matteo Novaga, Marcello Ponsiglione. GENERALIZED CRYSTALLINE EVOLUTIONS AS LIMITS OF FLOWS WITH SMOOTH ANISOTROPIES. Analysis & PDE, 2018, 12 (3), pp.789-813. ⟨hal-01632948⟩