TITLE:
Entropy Formulation for Triply Nonlinear Degenerate Elliptic-Parabolic-Hyperbolic Equation with Zero-Flux Boundary Condition
AUTHORS:
Mohamed Karimou Gazibo
KEYWORDS:
Degenerate Elliptic-Parabolic Hyerbolic Equation, Zero-Flux Boundary Condition, Structure Condition, Entropy Formulation, Multi-Step Approximation, Nonlinear Semigroup Theories, Integral and Mild Solution
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.4,
April
23,
2023
ABSTRACT: In this note, we investigated existence and uniqueness of entropy solution for triply nonlinear degenerate parabolic problem with zero-flux boundary condition. Accordingly to the case of doubly nonlinear degenerate parabolic hyperbolic equation, we propose a generalization of entropy formulation and prove existence and uniqueness result without any structure condition.