5 papers
Existence for accreting viscoelastic solids at large strains
Andrea Chiesa, Ulisse Stefanelli
By revisiting a model proposed in [45], we address the accretive growth of a viscoelastic solid at large strains. The accreted material is assumed to accumulate at the boundary of…
Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow
Andrea Chiesa, Keisuke Takasao
In this paper, we propose a new notion of Brakke inequality for volume preserving mean curvature flow. We show the existence of integral varifolds solving the flow globally-in-time…
Convergence of thresholding energies for anisotropic mean curvature flow on inhomogeneous obstacle
Andrea Chiesa, Karel Svadlenka
We extend the analysis by Esedoglu and Otto (2015) of thresholding energies for the celebrated multiphase Bence-Merriman-Osher algorithm for computing mean curvature flow of interf…
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…
Finite-strain Poynting-Thomson model: existence and linearization
A. Chiesa, M. Kružík, U. Stefanelli
We analyze the finite-strain Poynting-Thomson viscoelastic model. In its linearized small-deformation limit, this corresponds to the serial connection of an elastic spring and a Ke…