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Research Article Open access CC BY 3.0

Doubly Non-linear Elliptic-parabolic Equations by Rothe's Method

Jaouad Igbida, Abderrahmane El Hachimi, Ahmed Jamea, Abassi Asmaa

Journal of Advances in Mathematics and Computer Science · pp. 3224–3235 · Published 15 Sep 2014

10.9734/BJMCS/2014/8392

Abstract

This work is devoted to study a doubly non linear elliptic-parabolic problem with quadratic gradient term by Rothe's method. We investigate the long time behavior of the solution to the discrete problem and prove the existence of compact global attractor. Our method relays on semi-discretization with respect to the time variable.

Semi-discretization Euler forward scheme attractor parabolic elliptic existence uniqu-eness stability.

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Cited by 2

Weak solutions for a thermoelectric problem with power-type boundary effects

Luisa Consiglieri · Bollettino dell'Unione Matematica Italiana · 2018

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