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On the Aubry–Mather Theory in Statistical Mechanics

✍ Scribed by A. Candel; R. de la Llave


Book ID
105904408
Publisher
Springer
Year
1998
Tongue
English
Weight
196 KB
Volume
192
Category
Article
ISSN
0010-3616

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📜 SIMILAR VOLUMES


Aubry-Mather theory and periodic solutio
✍ Weinan E 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 377 KB 👁 2 views

Consider a Hamiltonian system with Hamiltonian of the form H(x, t, p) where H is convex in p and periodic in x, and t and x ∈ R 1 . It is well-known that its smooth invariant curves correspond to smooth Z 2 -periodic solutions of the PDE ut + H(x, t, u)x = 0 . In this paper, we establish a connecti