The steady states of one-dimensional Sivashinsky equations

Novick-Cohen, A.; Peletier, L. A.

doi:10.1090/qam/1193665

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: 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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