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arXiv · 1912.11105

A free boundary problem for a diffusion-convection equation

Adriana C. Briozzo·Domingo A. Tarzia
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Abstract

One-dimensional free boundary problem for a nonlinear diffusion - convection equation with a Dirichlet condition at fixed face $x=0$, 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.

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Adriana C. Briozzo, Domingo A. Tarzia. 2019-12-23. A free boundary problem for a diffusion-convection equation. https://doi.org/10.1016/j.ijnonlinmec.2019.103394

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