Premium
Stability of a smooth flow in a Laval nozzle
Author(s) -
Lar'kin Nikolaj,
Wendland W.
Publication year - 1989
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670110501
Subject(s) - mathematics , nozzle , transonic , a priori and a posteriori , domain (mathematical analysis) , stability (learning theory) , boundary value problem , galerkin method , flow (mathematics) , mathematical analysis , finite element method , geometry , aerodynamics , mechanics , thermodynamics , philosophy , physics , epistemology , machine learning , computer science
A boundary‐value problem for a non‐linear second‐order equation of mixed type in a cylindrical domain is considered. This problem simulates the development of small disturbances in a transonic flow of a chemical mixture in a Laval nozzle. The existence of a regular solution is proved with the help of a priori estimates for a corresponding linear problem and the contractive mapping theorem. The solution of the linear problem is constructed by the Galerkin method.