Flat blow-up solutions for the complex Ginzburg Landau equation

Giao Ky Duong, Nejla Nouaili, Hatem Zaag

In this paper, we consider the complex Ginzburg-Landau equation $${\partial }_{t}u=(1+i\beta )\Delta u+(1+i\delta )|u{|}^{p-1}u-\alpha u,\text{where }\beta ,\delta ,\alpha \in \mathbb{R}.$$ The study…