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An existence result for quasilinear parabolic systems with lower order terms

    Farah Balaadich   Affiliation
    ; Elhoussine Azroul Affiliation

Abstract

In this paper we prove the existence of weak solutions for a class of quasilinear parabolic systems, which correspond to diffusion problems, in the form


where is a bounded open domain of be given and The function v belongs to is in a moving and dissolving substance, the dissolution is described by f and the motion by g. We prove the existence result by using Galerkin’s approximation and the theory of Young measures.

Keyword : quasilinear parabolic systems, weak solutions, Young measures

How to Cite
Balaadich, F., & Azroul, E. (2021). An existence result for quasilinear parabolic systems with lower order terms. Mathematical Modelling and Analysis, 26(4), 669-683. https://doi.org/10.3846/mma.2021.13553
Published in Issue
Nov 26, 2021
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