A magneto-viscoelasticity problem with a singular memory kernel
Abstract
The existence of solutions to a one-dimensional problem arising in magneto-viscoelasticity is here considered. Specifically, a non-linear system of integro-differential equations is analyzed, it is obtained coupling an integro-differential equation modeling the viscoelastic behaviour, in which the kernel represents the relaxation function, with the non-linear partial differential equations modeling the presence of a magnetic field. The case under investigation generalizes a previous study since the relaxation function is allowed to be unbounded at the origin, provided it belongs to ; the magnetic model equation adopted, as in the previous results [21,22, 24, 25] is the penalized Ginzburg-Landau magnetic evolution equation.
Cite
@article{arxiv.1601.06276,
title = {A magneto-viscoelasticity problem with a singular memory kernel},
author = {Sandra Carillo and Michel Chipot and Vanda Valente and Giorgio Vergara Caffarelli},
journal= {arXiv preprint arXiv:1601.06276},
year = {2018}
}
Comments
original research article