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On algebraic damping close to inhomogeneous Vlasov equilibria in multi-dimensional spaces
Abstract : We investigate the asymptotic damping of a perturbation around inhomogeneous stable stationary states of the Vlasov equation in spatially multi-dimensional systems. We show that branch singularities of the Fourier-Laplace transform of the perturbation yield algebraic dampings. In two spatial dimensions, we classify the singularities and compute the associated damping rate and frequency. This 2D setting also applies to spherically symmetric self-gravitating systems. We validate the theory using a toy model and an advection equation associated with the isochrone model, a model of spherical self-gravitating systems.
Cited literature [13 references]
https://hal.inria.fr/hal-01332789
Contributor : Julien Barre <>
Submitted on : Thursday, June 16, 2016 - 2:50:11 PM
Last modification on : Monday, October 12, 2020 - 10:27:33 AM
Contributor : Julien Barre <>
Submitted on : Thursday, June 16, 2016 - 2:50:11 PM
Last modification on : Monday, October 12, 2020 - 10:27:33 AM
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