Summary
Initial-boundary value problems for nonlinear equations, modelling nonsteady 3-D transonic gas flows near a body, which differs only sligtly from a slender cylinder, are considered. Local in time existence and uniqueness of classical solutions for viscous and inviscous flows are proved.
This work was accomplished during author’s working in the Mathematical Institute 1 of Karlsruhe as Alexander von Humboldt Fellow
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Literature
Lin, C., Reissner, E., Tsieghn.: “On two-dimensional non-steady motion of a slender body in a compressible fluid”, J. Mathematics and Physics, 27, 3(1948).
Ryzhov, O.S., Shefter, G.: “O vliyanii vyazkosti i teploprovodnosti na structuru szhimaemych techenij”, Priklad-naya Matematika i Mechanika, (Russian), 28, 6 (1964).
Besov, O. V., Il’in, V. P., Nikol’skij, S.M.: “Integralnye predstavleniya funktsij i teoremy vlozheniya”, Moscow, Nauka (1975).
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© 1989 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Lar’kin, N.A. (1989). Initial-Boundary Value Problems for Transonic Equations in the Unbounded Domain. In: Ballmann, J., Jeltsch, R. (eds) Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications. Notes on Numerical Fluid Mechanics, vol 24. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87869-4_36
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DOI: https://doi.org/10.1007/978-3-322-87869-4_36
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-528-08098-3
Online ISBN: 978-3-322-87869-4
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