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- Title
A solution of the Blasius problem.
- Authors
Varin, V.
- Abstract
The classical Blasius boundary layer problem in its simplest statement consists in finding an initial value for the function satisfying the Blasius ODE on semi-infinite interval such that a certain condition at infinity be satisfied. Despite an apparent simplicity of the problem and more than a century of effort of numerous scientists, this elusive constant is determined at present numerically and not much better than it was done by Töpfer in 1912. Here we find this (Blasius) constant rigorously in closed form as a convergent series of rational numbers. Asymptotic behaviour, and lower and upper bounds for the partial sums of the series are also given.
- Subjects
BLASIUS equation; ACCELERATION of convergence in numerical analysis; BOUNDARY layer equations; STOCHASTIC convergence; FLUID dynamics; DYNAMICAL systems
- Publication
Computational Mathematics & Mathematical Physics, 2014, Vol 54, Issue 6, p1025
- ISSN
0965-5425
- Publication type
Article
- DOI
10.1134/S096554251406013X