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

Thierry Cazenave, Seifeddine Snoussi

In this article, we review finite-time blowup criteria for the family of complex Ginzburg-Landau equations $u_t=e^{i\theta }[\Delta u+|u{|}^{\alpha }u]+\gamma u$ on ${\mathbb{R}}^N$, where $0 \le θ\le…