Variational structure of the Vlasov equation
The variational structure of the Vlasov-Maxwell integral equations is derived for a plasma equilibrium having two ignorable coordinates. It is shown that the kernel of the Maxwell equations is a self-adjoint integral operator. This operator may also be represented as a differential equation of arbitrary order. This representation is useful when the differential operator is truncated to finite order, yielding a system of intrinsically self-adjoint differential equations.
- Research Organization:
- Univ. of Texas, Austin, TX (United States). Institute for Fusion Studies
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- FG05-80ET53088
- OSTI ID:
- 6388932
- Report Number(s):
- DOE/ET/53088-13; TRN: 81-010170
- Country of Publication:
- United States
- Language:
- English
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