A hyperbolic problem with non-local constraint describing ion-rearrangement in a model for ion-lithium batteries
Mathematical Physics
2015-02-23 v1 Analysis of PDEs
math.MP
Abstract
In this paper we study the Fokker-Plank equation arising in a model which describes the charge and discharge process of ion-lithium batteries. In particular we focus our attention on slow reaction regimes with non-negligible entropic effects, which triggers the mass-splitting transition. At first we prove that the problem is globally well-posed. After that we prove a stability result under some hypothesis of improved regularity and a uniqueness result for the stability under some additional condition of
Keywords
Cite
@article{arxiv.1502.05843,
title = {A hyperbolic problem with non-local constraint describing ion-rearrangement in a model for ion-lithium batteries},
author = {Stefano Scrobogna and Juan J. L. Velázquez},
journal= {arXiv preprint arXiv:1502.05843},
year = {2015}
}
Comments
26 pages