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20062025
most citedExistence results for incompressible magnetoelasticity

31 citations · 160 across the 58 of their papers we have counts for

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math.AP2024

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…

math.AP2024

An existence result for accretive growth in elastic solids

Elisa Davoli, Katerina Nik, Ulisse Stefanelli +1

We investigate a model for the accretive growth of an elastic solid. The reference configuration of the body is accreted in its normal direction, with space- and deformation-depend…

math.AP2024

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…

math.AP2023

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…

math.AP2023

Phase-field topology optimization with periodic microstructure

Stefano Almi, Ulisse Stefanelli

Progresses in additive manufacturing technologies allow the realization of finely graded microstructured materials with tunable mechanical properties. This paves the way to a wealt…

math.AP2023

Discrete-to-continuum linearization in atomistic dynamics

Manuel Friedrich, Manuel Seitz, Ulisse Stefanelli

In the stationary case, atomistic interaction energies can be proved to -converge to classical elasticity models in the simultaneous atomistic-to-continuum and linearization lim…