Research output: Contribution to journal › Article › peer-review
On Solutions of the One-Dimensional Goldshtik Problem. / Baskov, O.V.; Potapov, D.K.
In: Mathematical Notes, Vol. 115, No. 1-2, 01.02.2024, p. 12-20.Research output: Contribution to journal › Article › peer-review
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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 -
ID: 116987261