Abstract
A new extended model of ferrohydrodynamics is presented. The model takes into account the fluid compressibility and heat relaxation. As a result, such a model is governed by the partial differential equations of hyperbolic-elliptic type and predicts the wave propagation with a finite velocity unlike tradition models. The solvability of the corresponding problem for plane waves is investigated.
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References
B. Berkovsky, V. Medvedev, M. Krakov, Magnetic fluids: engineering applications. Oxford: Oxford University Press, 1993.
I. Selezov, Nonlinear wave propagation in close to hyperbolic systems. Int. Series of Numerical Mathematics, Birkhäuser Verlag Basel/Switzerland 141 (2001), 851–860.
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© 2009 Birkhäuser Verlag Basel/Switzerland
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Selezov, I. (2009). On Wave Hyperbolic Model for Disturbance Propagation in Magnetic Fluid. In: Adamyan, V.M., et al. Modern Analysis and Applications. Operator Theory: Advances and Applications, vol 191. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-9921-4_13
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DOI: https://doi.org/10.1007/978-3-7643-9921-4_13
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-9920-7
Online ISBN: 978-3-7643-9921-4
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