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Solvability of a problem for transonic flow with a local supersonic region. / Kuz'min, Alexander.

In: Nonlinear Differential Equations and Applications, Vol. 8, No. 3, 2001, p. 299-321.

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

Harvard

Kuz'min, A 2001, 'Solvability of a problem for transonic flow with a local supersonic region', Nonlinear Differential Equations and Applications, vol. 8, no. 3, pp. 299-321. https://doi.org/10.1007/PL00001450

APA

Kuz'min, A. (2001). Solvability of a problem for transonic flow with a local supersonic region. Nonlinear Differential Equations and Applications, 8(3), 299-321. https://doi.org/10.1007/PL00001450

Vancouver

Kuz'min A. Solvability of a problem for transonic flow with a local supersonic region. Nonlinear Differential Equations and Applications. 2001;8(3):299-321. https://doi.org/10.1007/PL00001450

Author

Kuz'min, Alexander. / Solvability of a problem for transonic flow with a local supersonic region. In: Nonlinear Differential Equations and Applications. 2001 ; Vol. 8, No. 3. pp. 299-321.

BibTeX

@article{cfb15783a4e240a5b6da54020e576474,
title = "Solvability of a problem for transonic flow with a local supersonic region",
abstract = "A nonlinear perturbation problem for steady two-dimensional inviscid transonic flow with a local supersonic region is considered. A damping condition is prescribed on a portion of the boundary in order to prevent the arising of shock waves in the flow. The existence of a smooth solution to the problem is established. A proof is based on the Fredholm alternative and on a technique for uniqueness analysis worked out by Morawetz (1957) and Cook (1978).",
keywords = "A priori estimates, Morawetz's auxiliary function, Perturbation, Transonic flow, Two-dimensional",
author = "Alexander Kuz'min",
year = "2001",
doi = "10.1007/PL00001450",
language = "English",
volume = "8",
pages = "299--321",
journal = "Nonlinear Differential Equations and Applications",
issn = "1021-9722",
publisher = "Birkh{\"a}user Verlag AG",
number = "3",

}

RIS

TY - JOUR

T1 - Solvability of a problem for transonic flow with a local supersonic region

AU - Kuz'min, Alexander

PY - 2001

Y1 - 2001

N2 - A nonlinear perturbation problem for steady two-dimensional inviscid transonic flow with a local supersonic region is considered. A damping condition is prescribed on a portion of the boundary in order to prevent the arising of shock waves in the flow. The existence of a smooth solution to the problem is established. A proof is based on the Fredholm alternative and on a technique for uniqueness analysis worked out by Morawetz (1957) and Cook (1978).

AB - A nonlinear perturbation problem for steady two-dimensional inviscid transonic flow with a local supersonic region is considered. A damping condition is prescribed on a portion of the boundary in order to prevent the arising of shock waves in the flow. The existence of a smooth solution to the problem is established. A proof is based on the Fredholm alternative and on a technique for uniqueness analysis worked out by Morawetz (1957) and Cook (1978).

KW - A priori estimates

KW - Morawetz's auxiliary function

KW - Perturbation

KW - Transonic flow

KW - Two-dimensional

UR - http://www.scopus.com/inward/record.url?scp=0347038310&partnerID=8YFLogxK

U2 - 10.1007/PL00001450

DO - 10.1007/PL00001450

M3 - Article

AN - SCOPUS:0347038310

VL - 8

SP - 299

EP - 321

JO - Nonlinear Differential Equations and Applications

JF - Nonlinear Differential Equations and Applications

SN - 1021-9722

IS - 3

ER -

ID: 98581833