Singular nonlinear problems for self-similar solutions of boundary-layer equations with zero pressure gradient: analysis and numerical solution

DOI10.1134/S0965542521100067zbMath1493.76029OpenAlexW3214537763MaRDI QIDQ2245891

N. B. Konyukhova, S. V. Kurochkin

Publication date: 15 November 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521100067

zbMATH Keywords

Cauchy problemnumerical solutionstream functionsolution existencetwo-sided estimateself-similarity parameternonlinear autonomous third-order ordinary differential equationsingular nonlinear initial-boundary value problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Basic methods in fluid mechanics (76M99)

Related Items (1)

Singular nonlinear problems for phase trajectories of some self-similar solutions of boundary layer equations: correct formulation, analysis, and calculations

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
• Probleme General de la Stabilite du Mouvement. (AM-17)
• Singular problem for a third-order nonlinear ordinary differential equation arising in fluid dynamics
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