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Computational Mathematics and Mathematical Physics

, Volume 59, Issue 10, pp 1672–1692 | Cite as

Asymptotic Expansion of the Solution to a Partially Dissipative System of Equations with a Multizone Boundary Layer

  • V. F. ButuzovEmail author
Article
  • 12 Downloads

Abstract

An asymptotic expansion with respect to a small parameter is constructed and proved for the solution of the boundary value problem for a singularly perturbed stationary partially dissipative system of equations in the case when one of the equations of the degenerate system has a double root. The multiplicity of this root leads to a multizone boundary layer, so the standard algorithm for constructing an asymptotic expansion of a boundary-layer solution becomes insufficient and requires a substantial modification. The constructed asymptotic expansion is substantiated using the asymptotic method of differential inequalities.

Keywords:

singularly perturbed partially dissipative system of equations multiple root of a degenerate equation multizone boundary layer 

Notes

FUNDING

This work was supported by the Russian Foundation for Basic Research, project no. 18-01-00424.

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Faculty of Physics, Lomonosov Moscow State UniversityMoscowRussia

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