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Stability criterion of spatially inhomogeneous solutions to the Vlasov equation

Abstract : Stability of spatially inhomogeneous stationary solutions to the Vlasov equation for multi-dimensional systems is investigated. The formal stability criterion taking into account all of the Casimir invariants is derived in an explicit form without use of the angle-action variables of a single particle's Hamiltonian associated with a stationary solutions to the Vlasov equation, when biorthogonal basis can be defined.
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Shun Ogawa. Stability criterion of spatially inhomogeneous solutions to the Vlasov equation. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2017, 50 (45), pp.455001. ⟨10.1088/1751-8121/aa8dbb⟩. ⟨hal-01661095⟩

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