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

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Nonlinear Differential Equations and Applications NoDEA Aims and scope Submit manuscript

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).

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Authors and Affiliations

  1. Institute for Mathematics and Mechanics, St. Petersburg University, Petrodvorets, 198904 St. Petersburg, Russia, e-mail: alexander.kuzmin@pobox.spbu.ru, , , , , , RU

    Alexander Kuz'min

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  1. Alexander Kuz'min
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Received November 1999

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Kuz'min, A. Solvability of a problem for transonic flow with a local supersonic region. NoDEA, Nonlinear differ. equ. appl. 8, 299–321 (2001). https://doi.org/10.1007/PL00001450

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  • DOI: https://doi.org/10.1007/PL00001450

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