Non-Linear Stability Analysis of Higher Order Dissipative Partial Differential Equations

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dc.creatorEckmann, J. -P.
dc.creatorWayne, C. E.
dc.date1998-05-15
dc.date.accessioned2026-07-07T04:32:23Z
dc.date.available2026-07-07T04:32:23Z
dc.descriptionWe extend the invariant manifold method for analyzing the asymptotics of dissipative partial differential equations on unbounded spatial domains to treat equations in which the linear part has order greater than two. One important example of this type of equation which we analyze in some detail is the Cahn-Hilliard equation. We analyze the marginally stable solutions of this equation in some detail. A second context in which such equations arise is in the Ginzburg-Landau equation, or other pattern forming equations, near a codimension-two bifurcation.
dc.identifierhttps://arxiv.org/abs/math-ph/9805014
dc.identifierhttp://arxiv.org/abs/math-ph/9805014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58172
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.subjectDynamical Systems
dc.subjectPattern Formation and Solitons
dc.titleNon-Linear Stability Analysis of Higher Order Dissipative Partial Differential Equations
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