%0 Journal Article
%T Existence of Entropy Solution for Degenerate Parabolic-Hyperbolic Problem Involving <i>p</i>(<i>x</i>)-Laplacian with Neumann Boundary Condition
%A Mohamed Karimou Gazibo
%A Duni Yegbonoma Fr&#233
%A d&#233
%A ric Zongo
%J Applied Mathematics
%P 455-463
%@ 2152-7393
%D 2024
%I Scientific Research Publishing
%R 10.4236/am.2024.157027
%X We consider a strongly non-linear degenerate parabolic-hyperbolic problem with <i>p</i>(<i>x</i>)-Laplacian diffusion flux function. We propose an entropy formulation and prove the existence of an entropy solution.
%K Lebesgue and Sobolev Spaces with Variable Exponent
%K Weak Solution
%K Entropy Solution
%K Degenerate Parabolic-Hyperbolic Equation
%K Conservation Law
%K Leray Lions Type Operator
%K Neumann Boundary Condition
%K Existence Result
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=134647