# Blow-up for self-interacting fractional Ginzburg-Landau equation

## TL;DR

This paper investigates the blow-up behavior of solutions to a fractional Ginzburg-Landau equation with non-positive nonlinearity, providing an ODE-based proof and lifespan estimates in one dimension.

## Contribution

It introduces an ODE approach to prove blow-up and derives optimal lifespan estimates for initial data in the one-dimensional case.

## Key findings

- Solutions blow up under certain conditions.
- An ODE argument effectively demonstrates blow-up.
- Optimal lifespan estimates are established for 1D cases.

## Abstract

The blow-up of solutions for the Cauchy problem of fractional Ginzburg-Landau equation with non-positive nonlinearity is shown by an ODE argument. Moreover, in one dimensional case, the optimal lifespan estimate for size of initial data is obtained.