Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Novosibirsk participants

Boundary-layer thickness in perturbations of hyperbolic equations

Shelukhin V.V.

Lavrentyev Institute of Hydrodynamics (Novosibirsk)

A definition of boundary-layer thickness is proposed for a parabolic perturbation of a scalar conservation law. An estimate of the layer is derived without any restriction on characteristics at boundaries. The results are compared with those obtained by the asymptotic approach. An illustration is given which concerns the problem of zero shear viscosity limit for the compressible Navier-Stokes equations describing flows between two circular cylinders. The Stokes- Blasius law is justified which states that thickness decrees as a the squar root of viscosity.

Note. Abstracts are published in author's edition

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