Author(s)

Mohamed Karimou Gazibo

Laboratoire de Mathématiques Fondamentales et Applications (LMFA), Département de Mathématiques, Ecole Normale Supérieure, Université Abdou Moumouni de Niamey, Niamey, Niger.

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.

Degenerate Elliptic-Parabolic Hyerbolic Equation, Zero-Flux Boundary Condition, Structure Condition, Entropy Formulation, Multi-Step Approximation, Nonlinear Semigroup Theories, Integral and Mild Solution

Gazibo, M. (2023) Entropy Formulation for Triply Nonlinear Degenerate Elliptic-Parabolic-Hyperbolic Equation with Zero-Flux Boundary Condition. Journal of Applied Mathematics and Physics, 11, 933-948. doi: 10.4236/jamp.2023.114063.