The Buckley–Leverett Equation with Dynamic Capillary Pressure
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Publication:3097523
DOI10.1137/100807016zbMath1261.35082arXiv1009.0467OpenAlexW2064037532WikidataQ57438025 ScholiaQ57438025MaRDI QIDQ3097523
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Publication date: 10 November 2011
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.0467
Nonlinear parabolic equations (35K55) Shocks and singularities for hyperbolic equations (35L67) Flows in porous media; filtration; seepage (76S05) Hyperbolic conservation laws (35L65) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Traveling wave solutions (35C07)
Related Items (14)
Capillary hysteresis and gravity segregation in two phase flow through porous media ⋮ The Computation of Nonclassical Shock Waves in Porous Media with a Heterogeneous Multiscale Method: The Multidimensional Case ⋮ Generalizing the modified Buckley–Leverett equation with TCAT capillary pressure ⋮ A fast explicit operator splitting method for modified Buckley-Leverett equations ⋮ Numerical analysis for two-phase flow with non-equilibrium capillary pressure in anisotropic porous media ⋮ Numerical investigations of two-phase flow with dynamic capillary pressure in porous media via a moving mesh method ⋮ Dispersive and Diffusive-Dispersive Shock Waves for Nonconvex Conservation Laws ⋮ An adaptive moving mesh finite element solution of the regularized long wave equation ⋮ Homogenized model of two-phase flow with local nonequilibrium in double porosity media ⋮ A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media ⋮ Numerical analysis of a finite volume scheme for two incompressible phase flow with dynamic capillary pressure ⋮ Smoothing effect of degenerate diffusion ⋮ Potential systems of a Buckley-Leverett equation: Lie point symmetries and conservation laws ⋮ Traveling waves for conservation laws with cubic nonlinearity and BBM type dispersion
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