Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



On the Lagrange stability of spatially periodic solutions of the Ginzburg-Landau equation

Author: Yi Song Yang
Journal: Quart. Appl. Math. 46 (1988), 495-498
MSC: Primary 76E30
DOI: https://doi.org/10.1090/qam/963585
MathSciNet review: 963585
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Abstract: We study the Lagrange stability (i.e., the pointwise boundedness) of the spatially-periodic solutions of the Ginzburg-Landau equation. There is a parameter range where the solutions blow up (instable) if their initial mean amplitudes are beyond a critical value.

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DOI: https://doi.org/10.1090/qam/963585
Article copyright: © Copyright 1988 American Mathematical Society

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