Splitting in systems of PDEs for two-phase multicomponent flow in porous media

DOI10.1016/J.AML.2015.09.014zbMath1342.76118OpenAlexW1856060727MaRDI QIDQ899395

S. Borazjani, Anthony Roberts, P. G. Bedrikovetskij

Publication date: 28 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.09.014

zbMATH Keywords

conservation lawsexact solutionssplittingdissipative systemsnon-linear PDEsadvective reaction-diffusion equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05)

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Asymptotics for filtration of polydisperse suspension with small impurities ⋮ Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients ⋮ Exact Solution for Deep Bed Filtration with Finite Blocking Time ⋮ Construction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delay ⋮ Generalized traveling-wave solutions of nonlinear reaction-diffusion equations with delay and variable coefficients ⋮ New exact solutions of nonlinear wave type PDEs with delay ⋮ Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients ⋮ Exact solutions for two-phase colloidal-suspension transport in porous media ⋮ A difference scheme for a degenerating convection-diffusion-reaction system modelling continuous sedimentation

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