Invariant measures and a linear model of turbulence

Andrzej Lasota

Rendiconti del Seminario Matematico della Università di Padova (1979)

  • Volume: 61, page 39-48
  • ISSN: 0041-8994

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Lasota, Andrzej. "Invariant measures and a linear model of turbulence." Rendiconti del Seminario Matematico della Università di Padova 61 (1979): 39-48. <http://eudml.org/doc/107732>.

@article{Lasota1979,
author = {Lasota, Andrzej},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {invariant measures; linear model of turbulence; jointly continuous semiflow; periodic points; strictly turbulent trajectory; time evolution; differential equation},
language = {eng},
pages = {39-48},
publisher = {Seminario Matematico of the University of Padua},
title = {Invariant measures and a linear model of turbulence},
url = {http://eudml.org/doc/107732},
volume = {61},
year = {1979},
}

TY - JOUR
AU - Lasota, Andrzej
TI - Invariant measures and a linear model of turbulence
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1979
PB - Seminario Matematico of the University of Padua
VL - 61
SP - 39
EP - 48
LA - eng
KW - invariant measures; linear model of turbulence; jointly continuous semiflow; periodic points; strictly turbulent trajectory; time evolution; differential equation
UR - http://eudml.org/doc/107732
ER -

References

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  1. [1] J. Bass, Stationary functions and their applications to turbulence. II: Navier-Stokes equations, J. Math. Anal. Appl., 47 (1974), pp. 458-503. Zbl0284.76040MR349140
  2. [2] C. Foiaş, Statistical study of Navier-Stokes equations II, Rend. Sem. Mat. Univ. Padova, 49 (1973), pp. 9-123. Zbl0283.76018
  3. [3] L. LANDAU - E. LIFSHITZ, Mécanique des fluides, Physique Théoretique, t. VI, Ed. Mir, Moscow, 1971. Zbl0216.25801
  4. [4] A. Lasota, Relaxation oscillations and turbulence, Ordinary Differential Equations 1971 NRL-MRC Conference, Academic Press, New York (1972), pp. 175-183. Zbl0353.34040MR434103
  5. [5] A. Lasota - J. Yorke, On the existence of invariant measures for transformations with strictly turbulent trajectories, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys., 25 (1977), pp. 233-238. Zbl0357.28018MR453977
  6. [6] G. Prodi, Teoremi ergodici per le equazioni della idrodinamica, C.I.M.E., Roma, 1960. Zbl0117.10504
  7. [7] D. Ruelle - F. TAKENS, On the nature of turbulence, Comm. Math. Phys., 20 (1971), pp. 167-192. Zbl0223.76041MR284067

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