Program
Hamiltonian systems: symplectic and contact
Student No.:50
Time:Mon 15:10-17:00, 2016-02-22~ 2016-06-06 (except for public holidays)
Instructor:Lin Wang  [Tsinghua University]
Place:Conference Room 1, Floor 1, Jin Chun Yuan West Building
Starting Date:2016-2-22
Ending Date:2016-6-6
 
Description:
 

 

First, I will introduce some basic parts of Mather theory on Hamiltonian systems and weak KAM theory on certain Hamilton-Jacobi equations. Second, I will touch the counterparts of those theories on contact Hamiltonian systems and general Hamilton-Jacobi equations.

 

 

 

Prerequisite:

 

 

Basic theory of ODE, PDE and calculus of variations

 

 

 

Reference:

 

 

Arnold, V. I., Mathematical Methods of Classical Mechanics, (Graduate Texts in Mathematics, Vol. 60) 2nd Edition.

 

 

Fathi, A., The Weak KAM Theorem in Lagrangian Dynamics, Cambridge Stud. Adv. Math., vol. 88, Cambridge: Cambridge Univ. Press

 

 

Sorrentino, A. Action-minimizing Methods in Hamiltonian Dynamics: An Introduction to Aubry-mather Theory, Princeton Univ Press