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Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus
- Source :
- J. Differential Equations 267 (2019) 2448-2470
- Publication Year :
- 2018
-
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 $\omega$-limit set of this semiflow and the projected Aubry set.
- Subjects :
- Mathematics - Dynamical Systems
Mathematics - Analysis of PDEs
Subjects
Details
- Database :
- arXiv
- Journal :
- J. Differential Equations 267 (2019) 2448-2470
- Publication Type :
- Report
- Accession number :
- edsarx.1805.10637
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jde.2019.03.020