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Pré-Publication, Document De Travail Année : 2023

Damping for fractional wave equations and applications to water waves

Jeremy L. Marzuola
  • Fonction : Auteur
Jian Wang
  • Fonction : Auteur

Résumé

Motivated by numerically modeling surface waves for inviscid Euler equations, we analyze linear models for damped water waves and establish decay properties for the energy for sufficiently regular initial configurations. Our findings give the explicit decay rates for the energy, but do not address reflection/transmission of waves at the interface of the damping. Still for a subset of the models considered, this represents the first result proving the decay of the energy of the surface wave models.

Dates et versions

hal-04309819 , version 1 (27-11-2023)

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Thomas Alazard, Jeremy L. Marzuola, Jian Wang. Damping for fractional wave equations and applications to water waves. 2023. ⟨hal-04309819⟩
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