Entropy solotions of nonlinear parabolic systems
Loading...
Date
2024-06
Journal Title
Journal ISSN
Volume Title
Publisher
MOHAMED BOUDIAF UNIVERSITY -M’SILA, Faculty of Mathematics and Computer Science, Departement of Mathematics
Abstract
In this work, we study the existence of renormalized and entropy (weak) solutions of nonlinear
parabolic system defined by
∂u1
∂t − div(A1(u1, ∇u1) − div(k1u1 + f(u)) = −σ(u1, u2, u3) − µ1u1 + f in QT
The same equations with u2 and u3. The method of solving our problem consist of obtaining local
estimates for suitable approximate problems and then passing to the limit.
This problem is taken from the article [18], that is published in 2013. Which will be used in
detailed proofs
Description
Keywords
Entropy solotions, nonlinear parabolic systems