Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus
Dynamical Systems
2020-09-10 v1 Analysis of PDEs
Abstract
For mechanical Hamiltonian systems on the torus, we study the dynamical properties of the generalized characteristics semiflows associated with certain Hamilton-Jacobi equations, and build the relation between the -limit set of this semiflow and the projected Aubry set.
Cite
@article{arxiv.1805.10637,
title = {Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus},
author = {Piermarco Cannarsa and Qinbo Chen and Wei Cheng},
journal= {arXiv preprint arXiv:1805.10637},
year = {2020}
}