Long-time existence of classical solutions to a 1-D swelling gel
Analysis of PDEs
2013-03-27 v1
Abstract
In this paper we derived a model which describes the swelling dynamics of a gel and study the system in one-dimensional geometry with a free boundary. The governing equations are hyperbolic with a weakly dissipative source. Using a mass-Lagrangian formulation, the free-boundary is transformed into a fixed-boundary. We prove the existence of long time, continuously differentiable solutions to the transformed fixed boundary problem.
Keywords
Cite
@article{arxiv.1303.6548,
title = {Long-time existence of classical solutions to a 1-D swelling gel},
author = {M. Carme Calderer and Robin Ming Chen},
journal= {arXiv preprint arXiv:1303.6548},
year = {2013}
}