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math.AP2021
Equilibria of charged hyperelastic solids
Elisa Davoli, Anastasia Molchanova, Ulisse Stefanelli
We investigate equilibria of charged deformable materials via the minimization of an electroelastic energy. This features the coupling of elastic response and electrostatics by mea…
math.AP2020
An extended variational theory for nonlinear evolution equations via modular spaces
Alexander Menovschikov, Anastasia Molchanova, Luca Scarpa
We propose an extension of the classical variational theory of evolution equations that accounts for dynamics also in possibly non-reflexive and non-separable spaces. The pivoting…
math.AP2018
A variational approximation scheme for elastodynamic problems using a new class of admissible mappings
Anastasia Molchanova
We consider a variational approximation scheme for the 3D elastodynamics problem. Our approach uses a new class of admissible mappings that are closed with respect to the space of…