A sequence of order relations, encoding heteroclinic connections in scalar parabolic PDE
2000
Online
report
Zugriff:
We address the problem of heteroclinic connections in the attractor of dissipative scalar semilinear parabolic equations ut = uxx + ƒ (x, u, ux), 0 < x < 1 on a bounded interval with Neumann conditions. Introducing a sequence of order relations, we prove a new and simple criterion for the existence of heteroclinic connections, using only information about nodal properties of solutions to the stationary ODE problem. This result allows also for a complete classiffication of possible attractors in terms of the permutation of the equilibria, given by their order at the two boundaries of the interval.
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A sequence of order relations, encoding heteroclinic connections in scalar parabolic PDE
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Autor/in / Beteiligte Person: | Wolfrum, Matthias |
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Veröffentlichung: | 2000 |
Medientyp: | report |
DOI: | 10.20347/WIAS.PREPRINT.599 |
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