A free boundary problem for a diffusion–convection equation

Briozzo, Adriana Clotilde; Tarzia, Domingo Alberto

info:eu-repo/semantics/article

Fecha

2020-04

Registro en:

Briozzo, Adriana Clotilde; Tarzia, Domingo Alberto; A free boundary problem for a diffusion–convection equation; Pergamon-Elsevier Science Ltd; International Journal Of Non-linear Mechanics; 120; 4-2020; 1-30

0020-7462

http://hdl.handle.net/11336/109386

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4354913

Autor

Briozzo, Adriana Clotilde

Tarzia, Domingo Alberto

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

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 and uniqueness of solution, for small time, to a system of coupled nonlinear integral equations is obtained.

Materias

DIFFUSION CONVECTION EQUATION

FREE BOUNDARY PROBLEM

NONLINEAR INTEGRAL EQUATION

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