Linear stability of source-type similarity solutions of the thin film equation
Publication
, Journal Article
Bernoff, AJ; Witelski, TP
Published in: Applied Mathematics Letters
January 1, 2002
We study the stability of compactly-supported source-type self-similar solutions of the generalized thin film equation ht = -(hnhxxx)x. Using linear stability analysis, applied to the problem in similarity variables, we show that the source-type solutions are stable. These results are related to the underlying symmetries of the PDE. For the special case of n = 1, analytical results are obtained for the spectrum, and the eigenfunctions are given in terms of classical orthogonal polynomials. © 2002 Elsevier Science Ltd. All rights reserved.
Duke Scholars
Published In
Applied Mathematics Letters
DOI
ISSN
0893-9659
Publication Date
January 1, 2002
Volume
15
Issue
5
Start / End Page
599 / 606
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Bernoff, A. J., & Witelski, T. P. (2002). Linear stability of source-type similarity solutions of the thin film equation. Applied Mathematics Letters, 15(5), 599–606. https://doi.org/10.1016/S0893-9659(02)80012-X
Bernoff, A. J., and T. P. Witelski. “Linear stability of source-type similarity solutions of the thin film equation.” Applied Mathematics Letters 15, no. 5 (January 1, 2002): 599–606. https://doi.org/10.1016/S0893-9659(02)80012-X.
Bernoff AJ, Witelski TP. Linear stability of source-type similarity solutions of the thin film equation. Applied Mathematics Letters. 2002 Jan 1;15(5):599–606.
Bernoff, A. J., and T. P. Witelski. “Linear stability of source-type similarity solutions of the thin film equation.” Applied Mathematics Letters, vol. 15, no. 5, Jan. 2002, pp. 599–606. Scopus, doi:10.1016/S0893-9659(02)80012-X.
Bernoff AJ, Witelski TP. Linear stability of source-type similarity solutions of the thin film equation. Applied Mathematics Letters. 2002 Jan 1;15(5):599–606.
Published In
Applied Mathematics Letters
DOI
ISSN
0893-9659
Publication Date
January 1, 2002
Volume
15
Issue
5
Start / End Page
599 / 606
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics