On Solutions of the One-Dimensional Goldshtik Problem

被引：0

作者：

Baskov, O. V. ^{[1
]}

Potapov, D. K. ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg 199034, Russia

来源：

MATHEMATICAL NOTES | 2024年 / 115卷 / 1-2期

基金：

俄罗斯科学基金会;

关键词：

Goldshtik model; one-dimensional problem; discontinuous right-hand side; properties of solutions; shooting method; 2ND-ORDER DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS;

D O I：

10.1134/S0001434624010024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A one-dimensional analog of the Goldshtik mathematical model for separated flows in an incompressible fluid is considered. The model is a boundary value problem for a second-order ordinary differential equation with discontinuous right-hand side. Some properties of the solutions of the problem, as well as the properties of the energy functional for different values of vorticity, are established. An approximate solution of the boundary value problem under study is found using the shooting method.

引用

页码：12 / 20

页数：9

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