水动力边界层数学理论的非经典问题

IF 0.2 Q4 MATHEMATICS

Moscow University Mathematics Bulletin Pub Date : 2024-05-13 DOI:10.3103/s0027132224700025

V. N. Samokhin, G. A. Chechkin

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引用次数: 0

摘要

摘要数学流体力学中的非经典问题出现在研究流变复杂介质的运动以及不同于经典的边界条件下。本文建立了液体静止边界层问题的经典解的存在性和唯一性定理，液体静止边界层在固体壁附近具有 Ladyzhenskaya 流体流变学定律，给定条件表征了表面张力和壁附近的滑动现象。

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Nonclassical Problems of the Mathematical Theory of Hydrodynamic Boundary Layer

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 Ladyzhenskaya near a solid wall with given conditions characterizing the force of surface tension and the phenomenon of slipping near this wall.

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来源期刊

Moscow University Mathematics Bulletin MATHEMATICS-

CiteScore

0.60

自引率

25.00%

发文量

期刊介绍： Moscow University Mathematics Bulletin is the journal of scientific publications reflecting the most important areas of mathematical studies at Lomonosov Moscow State University. The journal covers research in theory of functions, functional analysis, algebra, geometry, topology, ordinary and partial differential equations, probability theory, stochastic processes, mathematical statistics, optimal control, number theory, mathematical logic, theory of algorithms, discrete mathematics and computational mathematics.