Analog of Linear Landau Damping in a coupled Vlasov-Euler system for thick sprays - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

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

Résumé

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.
Fichier principal
Vignette du fichier
spectral_theory_of_TS.pdf (2.39 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

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

Identifiants

  • HAL Id : hal-04265990 , version 1

Citer

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

Partager

Gmail Facebook X LinkedIn More