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- W2152035510 abstract "The purpose of this paper is to derive the asymptotic solutions to a class of inhomogeneous integral equations that reduce to algebraic equations when a parameter ε goes to zero (the kernel becoming proportional to a Dirac δ function). This class includes the integral equations obtained from the system of Vlasov and Poisson equations for the Fourier transform in space and the Laplace transform in time of the electrostatic potential, when the equilibrium magnetic field is uniform and the equilibrium plasma density depends on εx, with the co-ordinate z being the direction of the magnetic field. In this case the inhomogeneous term is given by the initial conditions and possibly by sources, and the Laplace-transform variable ω is the eigenvalue parameter." @default.
- W2152035510 created "2016-06-24" @default.
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- W2152035510 date "1991-02-01" @default.
- W2152035510 modified "2023-09-23" @default.
- W2152035510 title "Asymptotic solution of the Vlasov and Poisson equations for an inhomogeneous plasma" @default.
- W2152035510 cites W1997563562 @default.
- W2152035510 cites W2019165043 @default.
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- W2152035510 doi "https://doi.org/10.1017/s002237780001549x" @default.
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