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arXiv · 1602.05007

Finite-time blowup for some nonlinear complex Ginzburg-Landau equations

Thierry Cazenave·Seifeddine Snoussi
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Abstract

In this article, we review finite-time blowup criteria for the family of complex Ginzburg-Landau equations $u_t = e^{ iθ} [Δu + |u|^αu] + γu$ on ${\mathbb R}^N $, where $0 \le θ\le \frac {π} {2}$, $α>0$ and $γ\in {\mathbb R} $. We study in particular the effect of the parameters $θ$ and $γ$, and the dependence of the blowup time on these parameters.

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Thierry Cazenave, Seifeddine Snoussi. 2016-02-16. Finite-time blowup for some nonlinear complex Ginzburg-Landau equations. https://doi.org/10.1017/9781108367639.004

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