MATHEMATICS

On the behavior of solutions of the Prandtl system for a Ladyzhenskaya viscous MHD medium in the flow through a confuser

R. R. Bulatova

Lomonosov Moscow State University, Moscow, Russia

Abstract: Existence and uniqueness theorems for solutions of the Prandtl boundary layer system of equations for a Ladyzhenskaya viscous medium are proved. Additionally, asymptotic expansions of solutions depending on the free-stream velocity and the behavior of the blowing–suction function are obtained.

Keywords: Prandtl boundary layer, Ladyzhenskaya rheological law, confuser, asymptotics of solutions.

UDC: 517.954.517.982

Presented: V. V. Kozlov
Received: 03.06.2021
Revised: 03.06.2021
Accepted: 08.02.2022

DOI: 10.31857/S2686954322020084

 English version: Doklady Mathematics, 2022, 105:2, 78–83

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