The analysis of the planar magnetron Vlasov distribution function lsqb;Phys. Fluids31, 2362 (1988)rsqb; is extended to the cylindrical case. In momentum space, the model distribution function isf(w,pthgr;) =Neminus;bgr;wweminus;(OHgr;bgr;thgr;/4p0)(pthgr;minus;p0)2wherew(pthgr;) is the single particle energy (angular momentum), bgr;w(bgr;thgr;) is the inverse of the thermal energy associated with variations inw(pthgr;),p0is the angular momentum at the cathode, and OHgr; is the electron cyclotron frequency (=eB0/mc). The problem is shown to be too lsquo;lsquo;stiffrsquo;rsquo; numerically to permit a pure numerical solution even using very high accuracy and statehyphen;ofhyphen;thehyphen;art numerical schemes. It is shown that one may use a global singular perturbation expansion, similar to, but significantly more complex than the one used in the planar case, to solve the resulting nonlinear ordinary differential equation for the spatial dependence of the distribution function, density, electrostatic potential, and drift velocity. thinsp;
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