On a Model of Superconductivity and Biology
Neurons and Cognition
2012-03-05 v1 Superconductivity
Mathematical Physics
math.MP
Abstract
The paper deals with a semilinear integrodifferential equation that characterizes several dissipative models of Viscoelasticity, Biology and Superconductivity. The initial - boundary problem with Neumann conditions is analyzed. When the source term F is a linear function, then the explicit solution is obtained. When F is non linear, some results on existence, uniqueness and a priori estimates are deduced. As example of physical model the reaction - diffusion system of Fitzhugh Nagumo is considered.
Keywords
Cite
@article{arxiv.1203.0448,
title = {On a Model of Superconductivity and Biology},
author = {Monica De Angelis},
journal= {arXiv preprint arXiv:1203.0448},
year = {2012}
}