Abstract
As an example of a parabolic reaction—diffusion equation with less stringent conditions than in Chapter 18, we briefly outline the construction of an inertial manifold for the Chaffee—Infante equation [H] in two dimensions:
(we do not restrict ourselves to odd periodic functions). For λ > 1, this equation admits multiple nonconstant steady states besides u = 0 and u = ± 1.
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© 1989 Springer-Verlag New York Inc.
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Constantin, P., Foias, C., Nicolaenko, B., Teman, R. (1989). Application: The Chaffee—Infante Reaction—Diffusion Equation. In: Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations. Applied Mathematical Sciences, vol 70. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3506-4_20
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DOI: https://doi.org/10.1007/978-1-4612-3506-4_20
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8131-3
Online ISBN: 978-1-4612-3506-4
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