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Bürger, R., Frid, H. and Karlsen, K.H. (2007) On the Well-Posedness of Entropy Solutions to Conservation Laws with a Zero-Flux 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: 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.