Asymptotic dynamical difference between the nonlocal and local Swift–Hohenberg models
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Publication:2737920
DOI10.1063/1.533228zbMath0983.35026arXivmath/9806102OpenAlexW2014711937MaRDI QIDQ2737920
Vincent J. Ervin, Guoguang Lin, Jin-qiao Duan, Hong-Jun Gao
Publication date: 30 August 2001
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9806102
Attractors (35B41) Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) A priori estimates in context of PDEs (35B45)
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Cites Work
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- Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation
- Finite-dimensional asymptotic behavior for the Swift-Hohenberg model of convection
- Planform evolution in convection–an embedded centre manifold
- Elemental mechanisms of hydrodynamic instabilities
- On small stationary localized solutions for the generalized 1-D Swift–Hohenberg equation
- Attractors for modulation equations on unbounded domains-existence and comparison
- On hydrodynamic instabilities, chaos and phase transition
