Singular nonlinear problems for phase trajectories of some self-similar solutions of boundary layer equations: correct formulation, analysis, and calculations
DOI10.1134/S0965542523020082zbMath1519.34008MaRDI QIDQ6039159
S. V. Kurochkin, N. B. Konyukhova
Publication date: 3 May 2023
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
self-similar solutionssingular initial value problemcalculation resultstwo-sided estimates for solutionsequation of stream functionsrestrictions on self-similarity parameter for global existence of solutionssecond-order nonlinear ODE for phase trajectories with degeneracy in initial datatwo-dimensional boundary layer equations with zero pressure gradient
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonautonomous smooth dynamical systems (37C60)
Cites Work
- Investigation of selfsimilar solutions describing flows in mixing layers
- On a problem in the theory of layer mixing.
- Stable Lyapunov manifolds for autonomous systems of nonlinear ordinary differential equations
- Singular nonlinear problems for self-similar solutions of boundary-layer equations with zero pressure gradient: analysis and numerical solution
- Singular cauchy problems for systems of ordinary differential equations
- Probleme General de la Stabilite du Mouvement. (AM-17)
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