Variational approach to complicated similarity solutions pf higher-order nonlinear PDEs. I

Details Variational approach to complicated similarity solutions pf higher-order nonlinear PDEs. I Variational approach to complicated similarity solutions pf higher-order nonlinear PDEs. I

2009-02-09

arxiv.org/abs/0902.1425v1

Mathematics

Analysis of PDEs

41 pages, 27 figures

Scientific paper

Three classes of higher-order nonlinear parabolic hyperbolic, and nonlinear dispersion equations are shown to admit exact blow-up or compacton solutions, which are induced by elliptic equations with non-Lipschitz nonlinearities. Variational techniques give countable families of various compactly supported solutions with oscllatory behaviour cloase to the interfaces. Overall, the whole set of such compact patterns reveals certain chaotic properties and contains solutions of arbitrary complexity.

Affiliated with

Also associated with

No associations

Rating

Variational approach to complicated similarity solutions pf higher-order nonlinear PDEs. I does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Variational approach to complicated similarity solutions pf higher-order nonlinear PDEs. I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Variational approach to complicated similarity solutions pf higher-order nonlinear PDEs. I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-176478