On a nonlinear hyperbolic problem arising in two-phase flows in naturally fractured reservoirs

zbMath0758.35052MaRDI QIDQ1182677

Hermano Frid

Publication date: 28 June 1992

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

existenceporous mediumuniquenessordinary differential equationquasilinear equationsinitial boundary value problempetroleum reservoir simulationtwo spatial dimensionsreservoir modellingdouble porosity modelsmixtures of oil and waternonhomogeneous hyperbolic conservation law

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for first-order hyperbolic systems (35L50) Initial value problems for first-order hyperbolic systems (35L45) First-order hyperbolic systems (35L40)

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Solution to the initial boundary-value problem for the regularized Buckley-Leverett system

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