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Similarity solutions for high frequency excitation of liquid metal in an antisymmetric magnetic field

Bernard Brighi, Jean-David Hoernel (2006)

Banach Center Publications

The aim of this paper is to investigate, as precisely as possible, a boundary value problem involving a third order ordinary differential equation. Its solutions are the similarity solutions of a problem arising in the study of the phenomenon of high frequency excitation of liquid metal systems in an antisymmetric magnetic field within the framework of boundary layer approximation.

Some remarks on Prandtl system

Hua Shui Zhan, Jun Ning Zhao (2008)

Applications of Mathematics

The purpose of this paper is to correct some drawbacks in the proof of the well-known Boundary Layer Theory in Oleinik’s book. The Prandtl system for a nonstationary layer arising in an axially symmetric incopressible flow past a solid body is analyzed.

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