- Series
- CDSNS Colloquium
- Time
- Monday, November 7, 2011 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Phil Morrison – Univ. of Texas at Austin
- Organizer
- Rafael de la Llave
The Vlasov-Poisson and Vlasov-Maxwell equations possess various variational formulations1 or action principles, as they are generally termed by physicists. I will discuss a particular variational principle that is based on a Hamiltonian-Jacobi formulation of Vlasov theory, a formulation that is not widely known. I will show how this formu- lation can be reduced for describing the Vlasov-Poisson system. The resulting system is of Hamilton-Jacobi form, but with nonlinear global coupling to the Poisson equation. A description of phase (function) space geometry will be given and comments about Hamilton-Jacobi pde methods and weak KAM will be made.Supported by the US Department of Energy Contract No. DE-FG03- 96ER-54346.H. Ye and P. J. Morrison Phys. Fluids 4B 771 (1992).D. Pfirsch, Z. Naturforsch. 39a, 1 (1984); D. Pfirsch and P. J. Morrison, Phys. Rev. 32A, 1714 (1985).