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20112026
most citedNonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms

40 citations · 154 across the 37 of their papers we have counts for

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Showing 2019 · math.APShow all

6 papers · 2 filters

math.AP2019★ 34 cited

Local asymptotics for nonlocal convective Cahn-Hilliard equations with W^{1,1} kernel and singular potential

Elisa Davoli, Luca Scarpa, Lara Trussardi

We prove existence of solutions and study the nonlocal-to-local asymptotics for nonlocal, convective, Cahn-Hilliard equations in the case of a W^{1,1} convolution kernel and under…

math.AP2019★ 40 cited

Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms

Elisa Davoli, Luca Scarpa, Lara Trussardi

We consider a class of nonlocal viscous Cahn-Hilliard equations with Neumann boundary conditions for the chemical potential. The double-well potential is allowed to be singular (e.…

math.AP2019

Dynamic perfect plasticity and damage in viscoelastic solids

Elisa Davoli, Tomáš Roubíček, Ulisse Stefanelli

In this paper we analyze an isothermal and isotropic model for viscoelastic media combining linearized perfect plasticity (allowing for concentration of plastic strain and developm…

math.AP2019★ 1 cited

Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme

Elisa Davoli, Irene Fonseca, Pan Liu

A bilevel training scheme is used to introduce a novel class of regularizers, providing a unified approach to standard regularizers , and . Optimal parameters…

math.AP2019★ 35 cited

Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics

Elisa Davoli, Helene Ranetbauer, Luca Scarpa +1

Existence and uniqueness of solutions for nonlocal Cahn-Hilliard equations with degenerate potential is shown. The nonlocality is described by means of a symmetric singular kernel…

math.AP2019

Homogenization in of a model for layered composites in finite crystal plasticity

Elisa Davoli, Rita Ferreira, Carolin Kreisbeck

In this work, we study the effective behavior of a two-dimensional variational model within finite crystal plasticity for high-contrast bilayered composites. Precisely, we consider…