A free boundary problem for a diffusion-convection equation
Analysis of PDEs
2020-02-19 v1
Abstract
One-dimensional free boundary problem for a nonlinear diffusion - convection equation with a Dirichlet condition at fixed face , variable in time, is considered. Throught several transformations the problem is reduced to a free boundary problem for a diffusion equation and the integral formulation is obtained. By using fixed point theorems, the existence of at least a solution, for small time, to a system of coupled nonlinear integral equations is obtained.
Cite
@article{arxiv.1912.11105,
title = {A free boundary problem for a diffusion-convection equation},
author = {Adriana C. Briozzo and Domingo A. Tarzia},
journal= {arXiv preprint arXiv:1912.11105},
year = {2020}
}
Comments
The manuscript has been accepted for publication in International Journal of Non.Linear Mechanics