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arXiv · 2410.03564

Free boundary problem governed by a non-linear diffusion-convection equation with Neumann condition

Adriana C. Briozzo
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Abstract

We consider a one-dimensional free boundary problem governed by a nonlinear diffusion - convection equation with a Neumann condition at fixed face $x=0$, 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.

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Adriana C. Briozzo. 2024-10-04. Free boundary problem governed by a non-linear diffusion-convection equation with Neumann condition. https://arxiv.org/abs/2410.03564

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