Numerical simulation of the process of nonequilibrium counterflow capillary imbibition

DOI10.1134/S0965542516010085zbMath1383.76332OpenAlexW2303155867MaRDI QIDQ2629976

Ekaterina Aleksandrovna Bogatyreva, Natal'ya Aleksandrovna Manakova

Publication date: 8 July 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542516010085

zbMATH Keywords

Galerkin methodnumerical simulationSobolev-type equationsBarenbratt-Gilman equation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Capillarity (surface tension) for incompressible viscous fluids (76D45) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (3)

Numerical Study of a Mathematical Model of an Autocatalytic Reaction with Diffusion in a Tubular Reactor ⋮ OPTIMAL CONTROL OF SOLUTIONS TO THE INITIAL-FINAL PROBLEM FOR THE MODEL OF LINEAR WAVES IN A PLASMA ⋮ On Modified Method of Multistep Coordinate Descent for Optimal Control Problem for Semilinear Sobolev-Type Model

Cites Work

• On a solution of the Dirichlet-Cauchy problem for the Barenblatt-Gilman equation
• On the Uniqueness of a Nonlocal Solution in the Barenblatt - Gilman Model
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