The Swift-Hohenberg equation with a nonlocal nonlinearity

DOI10.1016/j.physd.2013.11.018zbMath1288.35067arXiv1312.6697OpenAlexW2126938640MaRDI QIDQ2448790

Yanyan Li

Publication date: 5 May 2014

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6697

zbMATH Keywords

weakly nonlinear analysishomoclinic snakinglocalised stateenvelope equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Ginzburg-Landau equations (35Q56) Integro-partial differential equations (35R09) Pattern formations in context of PDEs (35B36)

Related Items (12)

A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations ⋮ Validity of amplitude equations for nonlocal nonlinearities ⋮ Eckhaus instability of stationary patterns in hyperbolic reaction-diffusion models on large finite domains ⋮ On the SAV‐DG method for a class of fourth order gradient flows ⋮ Random attractors for stochastic partly dissipative systems ⋮ A fast and efficient numerical algorithm for Swift-Hohenberg equation with a nonlocal nonlinearity ⋮ Modulated traveling fronts for a nonlocal Fisher-KPP equation: a dynamical systems approach ⋮ Numerical continuation for fractional PDEs: sharp teeth and bloated snakes ⋮ Periodic solutions and homoclinic solutions for a Swift-Hohenberg equation with dispersion ⋮ High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation ⋮ Stripe patterns orientation resulting from nonuniform forcings and other competitive effects in the Swift-Hohenberg dynamics ⋮ Snakes and ladders in an inhomogeneous neural field model

Uses Software

• AUTO
• AUTO-07P

Cites Work

• Unnamed Item
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• Pattern Formation
• Pattern Formation and Dynamics in Nonequilibrium Systems
• To Snake or Not to Snake in the Planar Swift–Hohenberg Equation
• Low-Prandtl-number convection in a rotating cylindrical annulus
• Instability of the steady states of some Ginzburg–Landau-like equations with real coefficients
• Localized States in an Extended Swift–Hohenberg Equation

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