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

Yi Song Yang
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