Unsteady boundary layer of a modified viscous fluid

R. R. Bulatova

Lomonosov Moscow State University

Abstract: In this paper, a system of equations for a nonstationary, symmetric boundary layer of a nonlinearly viscous, incompressible fluid is studied. By using the Crocco transformation, we reduce the boundary-layer system to a single quasilinear degenerate parabolic equation. The unique solvability of the main boundary-value problem is proved.

Keywords: boundary layer, unsteady flow, Crocco variables, modified Ladyzhenskaya fluid.

UDC: 517.956.45

MSC: 34B15

DOI: 10.36535/0233-6723-2021-191-10-15

 English version: Journal of Mathematical Sciences (New York), 2025, 288:6, 676–681