Standard

Solvability of a boundary value problem for transonic flow in a nozzle. / Kuz'min, A. G.

In: Zeitschrift fur Analysis und ihre Anwendung, Vol. 19, No. 3, 2000, p. 729-746.

Research output: Contribution to journal › Article › peer-review

Harvard

Kuz'min, AG 2000, 'Solvability of a boundary value problem for transonic flow in a nozzle', Zeitschrift fur Analysis und ihre Anwendung, vol. 19, no. 3, pp. 729-746.

APA

Kuz'min, A. G. (2000). Solvability of a boundary value problem for transonic flow in a nozzle. Zeitschrift fur Analysis und ihre Anwendung, 19(3), 729-746.

Vancouver

Kuz'min AG. Solvability of a boundary value problem for transonic flow in a nozzle. Zeitschrift fur Analysis und ihre Anwendung. 2000;19(3):729-746.

Author

Kuz'min, A. G. / Solvability of a boundary value problem for transonic flow in a nozzle. In: Zeitschrift fur Analysis und ihre Anwendung. 2000 ; Vol. 19, No. 3. pp. 729-746.

BibTeX

@article{542a629a8d9946a5a0ddf35299f4b6cb,
title = "Solvability of a boundary value problem for transonic flow in a nozzle",
abstract = "A nonlinear perturbation problem for steady two-dimensional inviscid transonic flow in a nozzle is studied. The existence of a smooth solution to the problem is proved under the condition of positive acceleration of the given flow. The proof involves the method of singular perturbations for solving a linear problem associated with the nonlinear one. The technique for obtaining a priori estimates is simpler than that used in previous papers.",
keywords = "A priori estimates, Boundary value problems, Equations of mixed type, Perturbations, Sobolev spaces, Transonic flows",
author = "Kuz'min, {A. G.}",
year = "2000",
language = "English",
volume = "19",
pages = "729--746",
journal = "Zeitschrift f{\"u}r Analysis und ihre Anwendungen",
issn = "0232-2064",
publisher = "Heldermann Verlag",
number = "3",

}

RIS

TY - JOUR

T1 - Solvability of a boundary value problem for transonic flow in a nozzle

AU - Kuz'min, A. G.

PY - 2000

Y1 - 2000

N2 - A nonlinear perturbation problem for steady two-dimensional inviscid transonic flow in a nozzle is studied. The existence of a smooth solution to the problem is proved under the condition of positive acceleration of the given flow. The proof involves the method of singular perturbations for solving a linear problem associated with the nonlinear one. The technique for obtaining a priori estimates is simpler than that used in previous papers.

AB - A nonlinear perturbation problem for steady two-dimensional inviscid transonic flow in a nozzle is studied. The existence of a smooth solution to the problem is proved under the condition of positive acceleration of the given flow. The proof involves the method of singular perturbations for solving a linear problem associated with the nonlinear one. The technique for obtaining a priori estimates is simpler than that used in previous papers.

KW - A priori estimates

KW - Boundary value problems

KW - Equations of mixed type

KW - Perturbations

KW - Sobolev spaces

KW - Transonic flows

UR - http://www.scopus.com/inward/record.url?scp=23044523972&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:23044523972

VL - 19

SP - 729

EP - 746

JO - Zeitschrift für Analysis und ihre Anwendungen

JF - Zeitschrift für Analysis und ihre Anwendungen

SN - 0232-2064

IS - 3

ER -

ID: 98581924