Curvature driven surface evolution plays an important role in geometry, applied mathematics
and in the natural sciences. In this paper geometric evolution equations such as mean …

The classical Stefan model is a free boundary problem that represents thermal processes in
phase transitions just by accounting for heat-diffusion and exchange of latent heat. The …

We study qualitative properties of solutions to a monodimensional problem u_t-(u_x+ sgn
u_x) _x= 0 with the Dirichlet boundary conditions. Such a system presents a key analytical …

We study simple cases of crystalline driven curvature flow with spatially nonuniform driving
force term. We assume special monotonicity properties of the driving term, which are …

Consider a Stefan-like problem with Gibbs-Thomson and kinetic effects as a model of crystal
growth from vapor. The equilibrium shape is assumed to be a regular circular cylinder. Our …

We study steady states of Stefan-type problems in the plane with the Gibbs–Thomson
correction involving a general anisotropic energy density function. By a local analysis we …

We are concerned with a quasi-steady Stefan type problem with Gibbs-Thomson relation
and the mobility term which is a model for a crystal growing from supersaturated vapor. The …

A planar anisotropic curvature flow equation with constant driving force term is considered
when the interfacial energy is crystalline. The driving force term is given so that a closed …

We study crystalline driven curvature flow with spatially nonuniform driving force term. We
assume special monotonicity properties of the driving term, which are motivated by our …

We prove the existence of unique regular local in time solutions to the quasi-stationary one-
phase Stefan problem with the Gibbs-Thomson correction. The result is optimal with respect …