TY - JOUR

T1 - On Solutions of the One-Dimensional Goldshtik Problem

AU - Baskov, O.V.

AU - Potapov, D.K.

PY - 2024/2/1

Y1 - 2024/2/1

N2 - Abstract: 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.

AB - Abstract: 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.

KW - Goldshtik model

KW - discontinuous right-hand side

KW - one-dimensional problem

KW - properties of solutions

KW - shooting method

UR - https://www.mendeley.com/catalogue/83fcf1cb-9245-32f1-9769-7cdd9727fcb7/

U2 - 10.1134/s0001434624010024

DO - 10.1134/s0001434624010024

M3 - Article

VL - 115

SP - 12

EP - 20

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 1-2

ER -