Finite-time blowup for a complex Ginzburg-Landau equation with linear driving
type: Dataset
description: In this paper, we consider the complex Ginzburg--Landau equation $u_t = e^{i\theta} [\Delta u + |u|^\alpha u] + \gamma u$ on ${\mathbb R}^N $, where $\alpha >0$, $\gamma \in \R$ and $-\pi /2<\theta <\pi /2$. By convexity arguments we prove that, under certain conditions on $\alpha ,\theta ,\gamma $, a class of solutions with negative initial energy blows up in finite time.
landing page: 1424-3199
keyword: complex-ginzburg-landau-equation
keyword: damping
keyword: energy
keyword: finite-time-blowup
keyword: infoeu-reposemanticsarticle
keyword: journal-articles
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: msc-2010-35q56-35b44
keyword: variance
issued: 2026-05-08T04:11:24.671407
modified: 2026-05-08T04:11:24.671412
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Finite-time blowup for a complex Ginzburg-Landau equation with linear driving
type: Distribution
format: HTML
access URL: https://hal.science/hal-00907008
issued: 2026-05-08T04:11:24.679729
modified: 2026-05-08T04:11:24.661600