Long time behavior for a dissipative shallow water model

Vincenzo Sciacca; Marco Sammartino; null Schonbek

Long time behavior for a dissipative shallow water model

Vincenzo Sciacca, Marco Sammartino, Schonbek

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	731-757
Number of pages	27
Journal	ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE
Volume	34
Publication status	Published - 2017

All Science Journal Classification (ASJC) codes

Analysis
Mathematical Physics
Applied Mathematics

Cite this

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title = "Long time behavior for a dissipative shallow water model",

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.",

author = "Vincenzo Sciacca and Marco Sammartino and Schonbek",

year = "2017",

language = "English",

volume = "34",

pages = "731--757",

journal = "Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire",

issn = "0294-1449",

publisher = "Elsevier Masson SAS",

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TY - JOUR

T1 - Long time behavior for a dissipative shallow water model

AU - Sciacca, Vincenzo

AU - Sammartino, Marco

AU - Schonbek, null

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/204927

M3 - Article

SN - 0294-1449

VL - 34

SP - 731

EP - 757

JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

ER -

Long time behavior for a dissipative shallow water model

Abstract

All Science Journal Classification (ASJC) codes

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