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We construct a solution for the Complex Ginzburg–Landau equation in a critical case which blows up in finite time T only at one blow-up point. We also give a sharp… Click to show full abstract
We construct a solution for the Complex Ginzburg–Landau equation in a critical case which blows up in finite time T only at one blow-up point. We also give a sharp description of its profile. The proof relies on the reduction of the problem to a finite dimensional one, and the use of index theory to conclude. The interpretation of the parameters of the finite dimension problem in terms of the blow-up point and time allows us to prove the stability of the constructed solution.
Keywords:
solution complex;
complex ginzburg;
ginzburg landau;
equation critical;
solution;
landau equation
Journal Title: Archive for Rational Mechanics and Analysis
Year Published: 2017
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Journal Title: Archive for Rational Mechanics and Analysis
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!