On the transport operators arising from linearizing the Vlasov-Poisson or Einstein-Vlasov system about isotropic steady states
Abstract
If the Vlasov-Poisson or Einstein-Vlasov system is linearized about an isotropic steady state, a linear operator arises the properties of which are relevant in the linear as well as nonlinear stability analysis of the given steady state. We prove that when defined on a suitable Hilbert space and equipped with the proper domain of definition this transport operator T is skew-adjoint, i.e., T=-T. In the Vlasov-Poisson case we also determine the kernel of this operator.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.