4 papers · 1 filter
Level sets of solutions to the stationary Hamilton-Jacobi equation are John regular
Elisa Davoli, Ulisse Stefanelli
Let be the unique nonnegative viscosity solution of the Hamilton-Jacobi equation in the external domain with on . Unde…
Viscoelasticity and accretive phase-change at finite strains
Andrea Chiesa, Ulisse Stefanelli
We investigate the evolution of a two-phase viscoelastic material at finite strains. The phase evolution is assumed to be irreversible: One phase accretes in time in its normal dir…
A model of gravitational differentiation of compressible self-gravitating planets
Alexander Mielke, Tomas Roubicek, Ulisse Stefanelli
We present a dynamic model for inhomogeneous viscoelastic media at finite strains. The model features a Kelvin-Voigt rheology, and includes a self-generated gravitational field in…
Modelling of planetary accretion and core-mantle structure formation
Tomas Roubicek, Ulisse Stefanelli
We advance a thermodynamically consistent model of self-gravitational accretion and differentiation in planets. The system is modeled in actual variables as a compressible thermovi…