Displacement of oil by water in a single elastic capillary

DOI10.1186/s13661-017-0814-9zbMath1372.35244OpenAlexW2624649332WikidataQ59516612 ScholiaQ59516612MaRDI QIDQ2362507

Reshat Zimin, O. V. Galtsev, Anvarbek M. Meirmanov

Publication date: 10 July 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0814-9

zbMATH Keywords

free boundary problemsMuskat problemStokes and Lamé equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Classical linear elasticity (74B05) Stokes and related (Oseen, etc.) flows (76D07) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (2)

The Muskat problem and related topics ⋮ Some free boundary problems arising in rock mechanics

Cites Work

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• The Muskat problem for a viscoelastic filtration
• A free-boundary problem for Stokes equations: Classical solutions
• On Friedrichs--Poincaré-type inequalities
• An existence theorem for the multifluid Navier-Stokes problem
• The Muskat problem at the microscopic level for a single capillary
• Su un problema al contorno relativo al sistema di equazioni di Stokes
• Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
• On Global Weak Solutions of the Nonstationary Two-Phase Stokes Flow
• Some theoretical results for visco-plastic and dilatant fluids with variable density
• Mathematical Models for Poroelastic Flows

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