Theoretical analysis of a model of the thermal boundary layer with drag

N. V. Khusnutdinova

M. A. Lavrent'ev Institute of Hydrodynamics

Abstract: For solutions of a system of degenerate quasilinear parabolic equations we prove some interior Schauder estimates and use them to establish an existence theorem for solutions of the problem of extending the thermal boundary layer of a compressible fluid in a magnetic field.

Keywords: boundary layer, uniform estimates, passing to a limit, solvability.

UDC: 517.95

Received: 21.05.2003
Revised: 22.11.2004

 English version: Siberian Mathematical Journal, 2005, 46:2, 351–358

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