- Abstract:
-
We investigate self-similar solutions of the dipole problem for the one-dimensional thin film equation on the half-line {x ≥ 0}. We study compactly supported solutions of the linear moving boundary problem and show how they relate to solutions of the nonlinear problem. The similarity solutions are generally of the second kind, given by the solution of a nonlinear eigenvalue problem, although there are some notable cases where first-kind solutions also arise. We examine the conserved quantitie...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1137/050637832
-
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- Journal:
- SIAM JOURNAL ON APPLIED MATHEMATICS
- Volume:
- 66
- Issue:
- 5
- Pages:
- 1727-1748
- Publication date:
- 2006
- DOI:
- EISSN:
-
1095-712X
- ISSN:
-
0036-1399
- URN:
-
uuid:05853f26-da29-49d4-b6a2-d870840b8e3f
- Source identifiers:
-
26116
- Local pid:
- pubs:26116
- Language:
- English
- Keywords:
- Copyright date:
- 2006
Journal article
The linear limit of the dipole problem for the thin film equation
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