Article citationsMore>>

Ammar, K., Carrillo, J. and Willbold, P. (2006) Scalar Conservation Laws with General Boundary Condition and Continuous Flux Function. Journal of Differential Equations, 228, 111-139.
https://doi.org/10.1016/j.jde.2006.05.002

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.