Singular nonlinear problems for phase trajectories of some self-similar solutions of boundary layer equations: correct formulation, analysis, and calculations (Q6039159)
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scientific article; zbMATH DE number 7681787
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular nonlinear problems for phase trajectories of some self-similar solutions of boundary layer equations: correct formulation, analysis, and calculations |
scientific article; zbMATH DE number 7681787 |
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Singular nonlinear problems for phase trajectories of some self-similar solutions of boundary layer equations: correct formulation, analysis, and calculations (English)
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3 May 2023
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The paper is focused on a singular initial value problem for a nonlinear non-autonomous second-order differential equation which is defined on a semi-infinite interval with degenerating initial data for the phase variable. The authors give a correct formulation and a complete mathematical analysis of this problem arising in the viscous incompressible fluids field.
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two-dimensional boundary layer equations with zero pressure gradient
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equation of stream functions
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self-similar solutions
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second-order nonlinear ODE for phase trajectories with degeneracy in initial data
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singular initial value problem
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restrictions on self-similarity parameter for global existence of solutions
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two-sided estimates for solutions
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calculation results
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