Gazibo, M.K. (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.
https://doi.org/10.4236/jamp.2023.114063

has been cited by the following article:

• TITLE: Existence of Entropy Solution for Degenerate Parabolic-Hyperbolic Problem Involving p(x)-Laplacian with Neumann Boundary Condition

  AUTHORS: Mohamed Karimou Gazibo, Duni Yegbonoma Frédéric Zongo

  KEYWORDS: Lebesgue and Sobolev Spaces with Variable Exponent, Weak Solution, Entropy Solution, Degenerate Parabolic-Hyperbolic Equation, Conservation Law, Leray Lions Type Operator, Neumann Boundary Condition, Existence Result

  JOURNAL NAME: Applied Mathematics, Vol.15 No.7, July 19, 2024

  ABSTRACT: We consider a strongly non-linear degenerate parabolic-hyperbolic problem with p(x)-Laplacian diffusion flux function. We propose an entropy formulation and prove the existence of an entropy solution.