Finite time blow-up and global existence for the nonlocal complex Ginzburg-Landau equation

DOI10.1016/j.jmaa.2018.06.038zbMath1394.35487OpenAlexW2809142016WikidataQ129723559 ScholiaQ129723559MaRDI QIDQ1645179

Baiyu Liu, Xiaoliang Li

Publication date: 28 June 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.06.038

zbMATH Keywords

global existenceblow-up timefinite time blow-upnonlocal complex Ginzburg-Landau equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Ginzburg-Landau equations (35Q56)

Related Items (1)

Finite time blow-up and global solutions for a nonlocal parabolic equation with Hartree type nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Cauchy problem for the Schrödinger-Hartree equation
• Sharp threshold of global existence and instability of standing wave for the Schrödinger-Hartree equation with a harmonic potential
• Global existence and blow-up results for a classical semilinear parabolic equation
• Soliton and blow-up solutions to the time-dependent Schrödinger-Hartree equation
• Invariant sets and the blow up threshold for a nonlocal equation of parabolic type
• Blow up threshold for a parabolic type equation involving space integral and variational structure
• Strong instability of standing waves for a nonlocal Schrödinger equation
• Global existence, nonexistence and asymptotic behavior of solutions for the Cauchy problem of semilinear heat equations
• On solutions on the initial value problem for the nonlinear Schrödinger equations
• Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Finite-time blowup for a complex Ginzburg-Landau equation with linear driving
• On global solution of nonlinear hyperbolic equations
• The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation
• Cauchy problem for the complex Ginzburg-Landau type Equation with $L^{p}$-initial data
• Quantum computation, entanglement and state reduction
• The Choquard equation and related questions
• Blow-Up of H 1 Solutions for the One-Dimensional Nonlinear Schrodinger Equations with Critical Power Nonlinearity
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Vacuum isolating, blow up threshold, and asymptotic behavior of solutions for a nonlocal parabolic equation
• Thermal runaway in a non-local problem modelling Ohmic heating: Part I: Model derivation and some special cases
• Finite-Time Blowup for a Complex Ginzburg--Landau Equation
• Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrödinger system
• Sharp Threshold for Blowup and Global Existence in Nonlinear Schrödinger Equations Under a Harmonic Potential
• Nonglobal existence of solutions for a generalized Ginzburg-Landau equation coupled with a Poisson equation
• Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.

This page was built for publication: Finite time blow-up and global existence for the nonlocal complex Ginzburg-Landau equation