Equations of Magnetohydrodynamic Boundary Layer for a Modified Incompressible Viscous Medium. Boundary Layer Separation

Equations of Magnetohydrodynamic Boundary Layer for a Modified Incompressible Viscous Medium.... DOI 10.1007/s10958-018-3874-1 Journal of Mathematical Sciences, Vol. 232, No. 3, July, 2018 EQUATIONS OF MAGNETOHYDRODYNAMIC BOUNDARY LAYER FOR A MODIFIED INCOMPRESSIBLE VISCOUS MEDIUM. BOUNDARY LAYER SEPARATION P. P. Bulatova Lomonosov Moscow State University Moscow 119991, Russia regi9292@mail.ru V. N. Samokhin Moscow Politechnic University 2A Pryanishnikova St., Moscow 127550, Russia vnsamokhin@mtu-net.ru G. A. Chechkin Lomonosov Moscow State University Moscow 119991, Russia chechkin@mech.math.msu.su UDC 517.956.4 We study the behavior of a magnetohydrodynamic stationary boundary layer of a mod- ified fluid in the sense of Ladyzhenskaya. We study how a magneric force affects the behavior of a continuous medium. We establish the influence of the magnetic field on the point of separation of the boundary layer from the solid streamlined surface. Bibliography:14 titles. Illustrations:2 figures. Dedicated to the memory of Vasilii Vasil’evich Zhikov The behavior of a boundary layer of a fluid is described by the Prandtl system obtained from the Navier–Stokes system by scaling. Properties of solutions of such a system were studied in [1]–[4], where the well-posedness of the main boundary value problems and the initial-boundary value problem was first established, as well as the boundary layer separation condition and the existence of flows without separation. Similar results were obtained http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Mathematical Sciences Springer Journals

Equations of Magnetohydrodynamic Boundary Layer for a Modified Incompressible Viscous Medium. Boundary Layer Separation

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Publisher
Springer US
Copyright
Copyright © 2018 by Springer Science+Business Media, LLC, part of Springer Nature
Subject
Mathematics; Mathematics, general
ISSN
1072-3374
eISSN
1573-8795
D.O.I.
10.1007/s10958-018-3874-1
Publisher site
See Article on Publisher Site

Abstract

DOI 10.1007/s10958-018-3874-1 Journal of Mathematical Sciences, Vol. 232, No. 3, July, 2018 EQUATIONS OF MAGNETOHYDRODYNAMIC BOUNDARY LAYER FOR A MODIFIED INCOMPRESSIBLE VISCOUS MEDIUM. BOUNDARY LAYER SEPARATION P. P. Bulatova Lomonosov Moscow State University Moscow 119991, Russia regi9292@mail.ru V. N. Samokhin Moscow Politechnic University 2A Pryanishnikova St., Moscow 127550, Russia vnsamokhin@mtu-net.ru G. A. Chechkin Lomonosov Moscow State University Moscow 119991, Russia chechkin@mech.math.msu.su UDC 517.956.4 We study the behavior of a magnetohydrodynamic stationary boundary layer of a mod- ified fluid in the sense of Ladyzhenskaya. We study how a magneric force affects the behavior of a continuous medium. We establish the influence of the magnetic field on the point of separation of the boundary layer from the solid streamlined surface. Bibliography:14 titles. Illustrations:2 figures. Dedicated to the memory of Vasilii Vasil’evich Zhikov The behavior of a boundary layer of a fluid is described by the Prandtl system obtained from the Navier–Stokes system by scaling. Properties of solutions of such a system were studied in [1]–[4], where the well-posedness of the main boundary value problems and the initial-boundary value problem was first established, as well as the boundary layer separation condition and the existence of flows without separation. Similar results were obtained

Journal

Journal of Mathematical SciencesSpringer Journals

Published: Jun 2, 2018

References

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