Bürger, R., Frid, H., and Karlsen, K.H. (2007) On the Well-Posedness of Entropy Solution to Conservation Laws with a Zero Fux Boundary Condition. Journal of Mathematical Analysis and Applications, 326, 108-120.
https://doi.org/10.1016/j.jmaa.2006.02.072

has been cited by the following article:

• 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.