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Preprints, Working Papers, ... Year : 2023

Analog of Linear Landau Damping in a coupled Vlasov-Euler system for thick sprays

Abstract

We study a linearized thick sprays model. We recast the system as a linear Schrödinger equation and we prove that the corresponding operator only has absolutely continuous spectrum. This proves that the system displays an analog of the Landau damping and one observes a decay of the acoustic energy. We construct the dispersion relation of the problem and we compute the physical root with the smallest imaginary part. We construct a numerical scheme, and the numerical results confirm the theoretical findings.
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Dates and versions

hal-04265990 , version 1 (31-10-2023)

Identifiers

  • HAL Id : hal-04265990 , version 1

Cite

Christophe Buet, Bruno Després, Victor Fournet. Analog of Linear Landau Damping in a coupled Vlasov-Euler system for thick sprays. 2023. ⟨hal-04265990⟩
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