Chaos in PDEs and Lax Pairs of Euler Equations

Details Chaos in PDEs and Lax Pairs of Euler Equations Chaos in PDEs and Lax Pairs of Euler Equations

2003-02-17

arxiv.org/abs/math/0302200v1

Mathematics

Analysis of PDEs

Acta Appl. Math. (in press)

Scientific paper

Recently, the author and collaborators have developed a systematic program for proving the existence of homoclinic orbits in partial differential equations. Two typical forms of homoclinic orbits thus obtained are: (1). transversal homoclinic orbits, (2). Silnikov homoclinic orbits. Around the transversal homoclinic orbits in infinite dimensional autonomous systems, the author was able to prove the existence of chaos through a shadowing lemma. Around the Silnikov homoclinic orbits, the author was able to prove the existence of chaos through a horseshoe construction. Very recently, there has been a breakthrough by the author in finding Lax pairs for Euler equations of incompressible inviscid fluids. Further results have been obtained by the author and collaborators.

Affiliated with

Also associated with

No associations

Rating

Chaos in PDEs and Lax Pairs of Euler Equations 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 Chaos in PDEs and Lax Pairs of Euler Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chaos in PDEs and Lax Pairs of Euler Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-501877