Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2000-09-30
Solvability of a Boundary Value Problem for Transonic Flow in a NozzleA.G. Kuz'min (1) St. Petersburg State University, Russian Federation
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: Transonic flows, perturbations, boundary value problems, equations of mixed type, Sobolev spaces, a priori estimates
Kuz'min A.G.: Solvability of a Boundary Value Problem for Transonic Flow in a Nozzle. Z. Anal. Anwend. 19 (2000), 729-746. doi: 10.4171/ZAA/977