Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



The steady states of one-dimensional Sivashinsky equations

Authors: A. Novick-Cohen and L. A. Peletier
Journal: Quart. Appl. Math. 50 (1992), 759-777
MSC: Primary 35G30; Secondary 35B35, 35K35, 80A22
DOI: https://doi.org/10.1090/qam/1193665
MathSciNet review: MR1193665
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Abstract | References | Similar Articles | Additional Information

Abstract: Phase plane analysis is used to calculate the number of steady states for two equations which arise in the context of directional solidification: the Sivashinsky equation and the modified Sivashinsky equation.

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DOI: https://doi.org/10.1090/qam/1193665
Article copyright: © Copyright 1992 American Mathematical Society

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