Steady state solutions of ferrofluid flow models

DOI10.3934/cpaa.2016039zbMath1352.35104OpenAlexW2530165623MaRDI QIDQ334515

Youcef Amirat, Kamel Hamdache

Publication date: 1 November 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016039

zbMATH Keywords

Navier-Stokes equationsweak solutionsmagnetizationBloch-torrey equationsmagnetic fluid flow

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Magnetohydrodynamics and electrohydrodynamics (76W05) Electromagnetic theory (general) (78A25) Weak solutions to PDEs (35D30)

Related Items (4)

Time-periodic flows of magnetic fluids ⋮ On the global well-posedness of a class of 2D solutions for the Rosensweig system of ferrofluids ⋮ Zero limit of entropic relaxation time for the Shliomis model of ferrofluids ⋮ A global well-posedness result for the Rosensweig system of ferrofluids

Cites Work

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• Weak solutions to the equations of motion for compressible magnetic fluids
• Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
• \(W^{2,p}\) regularity of the displacement problem for the Lamé system on \(W^{2,s}\) domains
• Su un problema al contorno relativo al sistema di equazioni di Stokes
• On the Stokes equations with the Navier-type boundary conditions
• Effects of spin viscosity on ferrofluid flow profiles in alternating and rotating magnetic fields
• Global weak solutions to a ferrofluid flow model
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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