Equations of Symmetric Boundary Layer for the Ladyzhenskaya Model of a Viscous Medium in the Crocco Variables

Equations of Symmetric Boundary Layer for the Ladyzhenskaya Model of a Viscous Medium in the Crocco Variables

We consider the system of boundary layer equations governing a viscous medium subject to the nonlinear rheological law in the sense of Ladyzhenskaya. Owing to the use of the Crocco transformation for reducing the system to a single quasilinear equation, it becomes possible to study both stationary a...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-10, Vol.242 (1), p.85-118
Hauptverfasser: Bulatova, R. R., Samokhin, V. N., Chechkin, G. A.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary layer
Boundary layer equations
Laws, regulations and rules
Mathematics
Mathematics and Statistics
Rheological properties
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Zusammenfassung:We consider the system of boundary layer equations governing a viscous medium subject to the nonlinear rheological law in the sense of Ladyzhenskaya. Owing to the use of the Crocco transformation for reducing the system to a single quasilinear equation, it becomes possible to study both stationary and nonstationary boundary layers. We obtain asymptotic estimates for the solution.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04468-7