Open AccessAN EXISTENCE RESULT FOR QUASILINEAR PARABOLIC SYSTEMS WITH LOWER ORDER TERMS
Author(s) -
Farah Balaadich,
Elhoussine Azroul
Publication year - 2021
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/mma.2021.13553
Subject(s) - mathematics , bounded function , parabolic partial differential equation , galerkin method , domain (mathematical analysis) , order (exchange) , class (philosophy) , mathematical analysis , diffusion , function (biology) , pure mathematics , partial differential equation , physics , computer science , finance , artificial intelligence , evolutionary biology , biology , economics , thermodynamics , quantum mechanics , nonlinear system
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 Ω 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.