Time-periodic flows of magnetic fluids

Jáuber C. Oliveira
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Jáuber C. Oliveira: Federal University of Santa Catarina

Partial Differential Equations and Applications, 2022, vol. 3, issue 2, 1-24

Abstract: Abstract We prove the existence T-periodic weak and strong solutions for the system of partial differential equations corresponding to the three-dimensional Shliomis model for magnetic fluids in bounded domains subjected to T-periodic external magnetic field. For the existence of strong solution we assume that the external magnetic field is sufficiently small.

Keywords: Navier–Stokes equation; Magnetization equation; Time-periodic solutions; Magnetic fluids; Ferrofluids; Shliomis model; 35B10; 35B65; 35Q35; 76D05 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s42985-022-00153-8

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