3 papers
math.AP2021
Kobayashi--Warren--Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation
Salvador Moll, Ken Shirakawa, Hiroshi Watanabe
In this paper we study the Dirichlet problem for the Kobayashi--Warren--Carter system. This system of parabolic PDE's models the grain boundary motion in a polycrystal with a presc…
math.AP2021
Nonlinear diffusion in transparent media
Lorenzo Giacomelli, Salvador Moll, Francesco Petitta
We consider a prototypical nonlinear parabolic equation whose flux has three distinguished features: it is nonlinear with respect to both the unknown and its gradient, it is homoge…
math.AP2017
Regular 1-harmonic flow
Lorenzo Giacomelli, Michał Łasica, Salvador Moll
We consider the 1-harmonic flow of maps from a bounded domain into a submanifold of a Euclidean space, i.e. the gradient flow of the total variation functional restricted to maps t…