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On the Lagrange stability of spatially periodic solutions of the Ginzburg-Landau equation
1988
Quarterly of Applied Mathematics
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.
doi:10.1090/qam/963585
fatcat:o6x4qkpnn5a73oqlqialhhfbcm