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 email@example.com V. N. Samokhin Moscow Politechnic University 2A Pryanishnikova St., Moscow 127550, Russia firstname.lastname@example.org G. A. Chechkin Lomonosov Moscow State University Moscow 119991, Russia email@example.com 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 –, 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 of Mathematical Sciences – Springer Journals
Published: Jun 2, 2018
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