Chaos in PDEs and Lax Pairs of Euler Equations

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dc.creatorLi, Yanguang Charles
dc.date2003-02-17
dc.date.accessioned2026-07-07T04:55:21Z
dc.date.available2026-07-07T04:55:21Z
dc.descriptionRecently, 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.
dc.descriptionActa Appl. Math. (in press)
dc.identifierhttps://arxiv.org/abs/math/0302200
dc.identifierhttp://arxiv.org/abs/math/0302200
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66548
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject35, 37
dc.titleChaos in PDEs and Lax Pairs of Euler Equations
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