Aubry–Mather theory for Lorentzian manifolds
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-019-0707-x
Abstract: We introduce a version of Aubry–Mather theory for the length functional of causal curves in compact Lorentzian manifolds. Results include the existence of maximal invariant measures, calibrations and calibrated curves. We prove two versions of… read more here.
Keywords: mather theory; aubry mather; theory lorentzian; lorentzian manifolds ... See more keywords
Twist dynamics and Aubry-Mather sets around a periodically perturbed point-vortex
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.03.009
Abstract: Abstract We consider the model of a point-vortex under a periodic perturbation and give sufficient conditions for the existence of generalized quasi-periodic solutions with rotation number. The proof relies on Aubry-Mather theory to obtain the… read more here.
Keywords: twist dynamics; mather sets; point vortex; dynamics aubry ... See more keywords