This article is cited in 1 paper

Mathematics

Nonclassical problems of the mathematical theory of hydrodynamic boundary layer

V. N. Samokhin^a, G. A. Chechkin<sup>b

a</sup> Moscow Polytechnic University
^b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow

Abstract: Nonclassical problems in mathematical hydrodynamics arise when studying the motion of rheologically complex media, as well as under boundary conditions different from classical ones. In this paper, existence and uniqueness theorems are established for the classical solution to the problem of a stationary boundary layer of a liquid with the rheological law of O. A. Ladyzhenskaya near a solid wall with given conditions characterizing the force of surface tension and the phenomenon of slipping near this wall.

Key words: slip condition, boundary layer, Mises variables, maximum principle, viscous fluid, rheological equation, O. A. Ladyzhenskaya model of a viscous medium.

UDC: 517.946

Received: 13.05.2023

DOI: 10.55959/vmumm4584

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2024, 79:1, 11–21

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