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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Additional Information

DOI:
https://doi.org/10.1090/qam/1193665

Article copyright:
© Copyright 1992
American Mathematical Society