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Asymptotic solutions of flow problems with boundary layer of double-deck structures. (English. Russian original) Zbl 1522.76021

Math. Notes 112, No. 4, 523-532 (2022); translation from Mat. Zametki 112, No. 4, 521-533 (2022).
Summary: In this paper, the general scheme of constructing multiscale asymptotic solutions arising in problems of flow over a surface with small irregularities is considered and results of well-known studies in hydrodynamics are clarified.

MSC:

76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76D05 Navier-Stokes equations for incompressible viscous fluids
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
35Q35 PDEs in connection with fluid mechanics
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References:

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