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Details for article 5 of 8 found articles
| Title: |
On the solution structure of a nonlinear transcendental eigenvalue equation |
| Author: |
Kelmanson, Mark A. |
| Appeared in: |
Dynamical systems |
| Paging: | Volume 4 (1989) nr. 3-4 pages 245-257 |
| Year: |
1989 |
| Contents: |
When solving the biharmonic equation for the classical two-dimensional Stokes flow in a wedge of angle α z.ε (0, 2 π], the no-slip condition on the wedge yields the well-known and much-used transcendental eigenvalue equation [image omitted] where λ is a real or complex constant whose value is intimately interwoven in the construction of the solutions of the aforementioned biharmonic equation. We present novel analytical studies of the solutions of this eigenvalue equation which lead to explicit small-parameter expansions for λ We subsequently reveal the hitherto unseen global geometry of these solutions, which admit interesting bifurcatory behaviour. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 5 of 8 found articles
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