A Lorenz-like model for the horizontal convection flow (Articolo in rivista)

Type
Label
  • A Lorenz-like model for the horizontal convection flow (Articolo in rivista) (literal)
Anno
  • 2003-01-01T00:00:00+01:00 (literal)
Alternative label
  • Bucchignani E., Georgescu A., Mansutti D. (2003)
    A Lorenz-like model for the horizontal convection flow
    in International journal of non-linear mechanics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Bucchignani E., Georgescu A., Mansutti D. (literal)
Pagina inizio
  • 629 (literal)
Pagina fine
  • 644 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#altreInformazioni
  • Questo lavoro e' stato parzialmente finanziato da A.S.I., progetto \"Modelli matematici, analisi sperimentale e numerica di alcuni aspetti della cristallizzazione da fuso in microgravita'\", 1998. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 38,5 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
  • I.F.= 0.896 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • E. Bucchignani, C.I.R.A., Capua (CE), A. Georgescu, Dept. Mathematics, Univ. Bucharest; D. Mansutti, I.A.C.-Roma/C.N.R. (literal)
Titolo
  • A Lorenz-like model for the horizontal convection flow (literal)
Abstract
  • In this work we study a finite dynamical system for the description of the bifurcation pattern of the convection flow of a fluid between two parallel horizontal planes which undergoes a {\em horizontal} gradient of temperature ({\em horizontal} convection flow). Although in the two-dimensional case developed here,literature reports as well a long list of analytical and numerical solutions to this problem, the peculiar aim of this work makes it worthwhile. Actually we develop the route that Saltzman (1962) \cite{Sal62} and Lorenz (1963) \cite{Lor63} proposed for the {\em vertical} convection flow that started successfully the approach to finite dynamical systems. We obtain steady-to-steady and steady-to-periodic bifurcations in qualitative agreement with already published results. At first we adopt the non-dimensional scheme used by Saltzman and Lorenz; as it admits also physically meaningless solutions, we introduce a different set of reference quantities so overcoming this drawback. (literal)
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