Long time behavior for a dissipative shallow water model

Risultato della ricerca: Articlepeer review

2 Citazioni (Scopus)

Abstract

We consider the two-dimensional shallow water model derived in [29], describing the motion of an incompressible fluid, confined in a shallow basin, with varying bottom topography. We construct the approximate inertial manifolds for the associated dynamical system and estimate its order. Finally, working in the whole space R^2, under suitable conditions on the time dependent forcing term, we prove the L^2 asymptotic decay of the weak solutions.
Lingua originaleEnglish
pagine (da-a)731-757
Numero di pagine27
RivistaANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE
Volume34
Stato di pubblicazionePublished - 2017

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Analysis
  • Mathematical Physics

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