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The Boundary-Layer Problems for Some Models of Channel and Filtration Flows of a Viscous Compressible Fluid

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Energy Methods in Continuum Mechanics

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Abstract

The solvability of initial boundary problems for the systems of equations of combined type describing the flows of a compressible liquid within the framework of the boundary-layer approximations is stated.

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References

  1. Korteweg, D.J. (1901) Sur la forme que prennent les equations du mouvement des fluides si l’on tient compte des forces capillaires par des variations de densite, Archives Nederlandaises des Sciences Exactes and Naturelles, Series II, 6, p. 1–24.

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  4. Polubarinova-Kochina, P.Ya. (1962) Theory of Ground Water Movement, English version Princeton Univ. Press, Princeton, N.J.

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  6. Khusnutdinova, N.V. (1990) On the structure of the domain of degeneracy of a system of quasilinear parabolic equations. English version in Sov.Math.Dokl., v. 40, N1.

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Author information

Authors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Russia, Novosibirsk, pr.Lavrentyeva, 15

    V. N. Monakhov, E. N. Razinkov & N. V. Khusnutdinova

Authors
  1. V. N. Monakhov
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  2. E. N. Razinkov
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  3. N. V. Khusnutdinova
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Editor information

Editors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia

    S. N. Antontsev  & S. I. Shmarev  & 

  2. Universidad Complutense de Madrid, Spain

    J. I. Díaz

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© 1996 Kluwer Academic Publishers

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Monakhov, V.N., Razinkov, E.N., Khusnutdinova, N.V. (1996). The Boundary-Layer Problems for Some Models of Channel and Filtration Flows of a Viscous Compressible Fluid. In: Antontsev, S.N., Díaz, J.I., Shmarev, S.I. (eds) Energy Methods in Continuum Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0337-1_6

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  • DOI: https://doi.org/10.1007/978-94-009-0337-1_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6638-9

  • Online ISBN: 978-94-009-0337-1

  • eBook Packages: Springer Book Archive

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