Nonlinear Bernstein-Greene-Kruskal Wave Equilibria Subject to Global Energy and Momentum Conservation Constraints.
Abstract
The class of Bernstein-Greene-Kruskal (BGK) solutions to the nonlinear Vlasov-Poisson equations are examined within the context of the conservation of (spatially averaged) number, momentum and total energy, imposed as ancillary global constraints that connect the final saturated BGK state to a specified initial distribution function f(x,v,O). While imposing three conservation constraints of course does not uniquely determine the final BGK state, it does not remove a large degree of ambiguity as to whether particular classes of solutions are accessible from given initial conditions. It also permits a determination of important features of the final BGK state (e.g., saturation amplitude, wave phase velocity, etc.) in terms of properties of the initial distribution functions.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1982
- Accession Number
- ADA119567
Entities
People
- Kang T. Tsang
- Ronald C. Davidson