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Entropy Formulation for Triply Nonlinear Degenerate Elliptic-Parabolic-Hyperbolic Equation with Zero-Flux Boundary Condition

Entropy Formulation for Triply Nonlinear Degenerate Elliptic-Parabolic-Hyperbolic Equation with Zero-Flux Boundary Condition
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摘要 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. 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.
作者 Mohamed Karimou Gazibo Mohamed Karimou Gazibo(Laboratoire de Mathématiques Fondamentales et Applications (LMFA), Département de Mathématiques, Ecole Normale Supérieure, Université Abdou Moumouni de Niamey, Niamey, Niger)
出处 《Journal of Applied Mathematics and Physics》 2023年第4期933-948,共16页 应用数学与应用物理(英文)
关键词 Degenerate Elliptic-Parabolic Hyerbolic Equation Zero-Flux Boundary Condition Structure Condition Entropy Formulation Multi-Step Approximation Nonlinear Semigroup Theories Integral and Mild Solution Degenerate Elliptic-Parabolic Hyerbolic Equation Zero-Flux Boundary Condition Structure Condition Entropy Formulation Multi-Step Approximation Nonlinear Semigroup Theories Integral and Mild Solution
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