Confinement effects by rigid boundaries in the dynamics of ideal fluids are considered from the perspective of long-wave models and their parent Euler systems, with the focus on the consequences of establishing contacts of material surfaces with the confining boundaries. When contact happens, we show that the model evolution can lead to the dependent variables developing singularities in finite time. The conditions and the nature of these singularities are illustrated in several cases, progressing from a single-layer homogeneous fluid with a constant-pressure free surface and flat bottom, to the case of a two-fluid system contained between two horizontal rigid plates, and finally, through numerical simulations, to the full Euler stratified system. These demonstrate the qualitative and quantitative predictions of the models within a set of examples chosen to illustrate the theoretical results.

(2019). Hydrodynamic Models and Confinement Effects by Horizontal Boundaries [journal article - articolo]. In JOURNAL OF NONLINEAR SCIENCE. Retrieved from http://hdl.handle.net/10446/133174

Hydrodynamic Models and Confinement Effects by Horizontal Boundaries

Pedroni, M.;
2019-01-01

Abstract

Confinement effects by rigid boundaries in the dynamics of ideal fluids are considered from the perspective of long-wave models and their parent Euler systems, with the focus on the consequences of establishing contacts of material surfaces with the confining boundaries. When contact happens, we show that the model evolution can lead to the dependent variables developing singularities in finite time. The conditions and the nature of these singularities are illustrated in several cases, progressing from a single-layer homogeneous fluid with a constant-pressure free surface and flat bottom, to the case of a two-fluid system contained between two horizontal rigid plates, and finally, through numerical simulations, to the full Euler stratified system. These demonstrate the qualitative and quantitative predictions of the models within a set of examples chosen to illustrate the theoretical results.
articolo
2019
Camassa, R.; Falqui, G.; Ortenzi, G.; Pedroni, Marco; Thomson, C.
(2019). Hydrodynamic Models and Confinement Effects by Horizontal Boundaries [journal article - articolo]. In JOURNAL OF NONLINEAR SCIENCE. Retrieved from http://hdl.handle.net/10446/133174
File allegato/i alla scheda:
File Dimensione del file Formato  
Camassa2018_Article_HydrodynamicModelsAndConfineme.pdf

Solo gestori di archivio

Versione: publisher's version - versione editoriale
Licenza: Licenza default Aisberg
Dimensione del file 2.28 MB
Formato Adobe PDF
2.28 MB Adobe PDF   Visualizza/Apri
133174 Pedroni.pdf

Open Access dal 27/11/2019

Descrizione: “This is a post-peer-review, pre-copyedit version of an article published in JOURNAL OF NONLINEAR SCIENCE. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00332-018-9522-6
Versione: postprint - versione referata/accettata senza referaggio
Licenza: Licenza default Aisberg
Dimensione del file 1.84 MB
Formato Adobe PDF
1.84 MB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

Aisberg ©2008 Servizi bibliotecari, Università degli studi di Bergamo | Terms of use/Condizioni di utilizzo

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/133174
Citazioni
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 10
social impact