Free boundary problem governed by a non-linear diffusion-convection equation with Neumann condition
Analysis of PDEs
2024-10-07 v1
Abstract
We consider a one-dimensional free boundary problem governed by a nonlinear diffusion - convection equation with a Neumann condition at fixed face , which is variable in time and a like Stefan convective condition on the free boundary. Through successive transformations, an integral representation of the problem is obtained that involves a system of coupled nonlinear integral equations. Existence of the solution is obtained for all times by using fixed point theorems.
Keywords
Cite
@article{arxiv.2410.03564,
title = {Free boundary problem governed by a non-linear diffusion-convection equation with Neumann condition},
author = {Adriana C. Briozzo},
journal= {arXiv preprint arXiv:2410.03564},
year = {2024}
}