THE FALLACY OF «LIOUVILLE'S THEOREM» AND PREDICTABLE ATMOSPHERE AND CLIMATE

DOI: 10.24057/2414-9179-2016-2-22-311-321

View or download the article (Rus)

About the Author

V. S. Datsko

Moscow Region State Educational Institution of higher professional education University «Dubna»
Russian Federation
filial branch «Protvino»

Abstract

The paper substantiates the fallacy of «Liouville theorem» and, accordingly, the inability to be based on its prediction of the behavior of the atmosphere and climate.

Keywords

predictability of the atmosphere, the phase space, Liouville theorem, Lagrange representation, the oscillator

References

  1. V.S. Datsko. Fazovyj ob»yom [The phase volume]. M.: ed. Lika, 2011. 72 p. (see also: http://www.twirpx.com/file/784178/).
  2. I.I. Olkhovsky. Kurs teoreticheskoj mekhaniki dlya fizikov. [The course of theoretical mechanics for physicists]. M.: ed.»SCIENCE, 1970. P. 376.
  3. Ya.P. Terletsky. Statisticheskaya fizika [Statistical physics]. M.: Higher school, 1973.
  4. N.E. Cochin, I.A., Kibel, N.In. Rose. Teoreticheskaya gidromekhanika [Theoretical hydromechanics], part 1. Moscow: Fizmatgiz, 1963. P. 584.
  5. A. Andronov, A.A. Vitt, S.E. Khaikin. Teoriya kolebanij [Theory of oscillations]. Moscow: GOS. ed. Fiz. Mat. lit., 1959. P. 918.
  6. J. Liouville, Journ. dе Math. 3, 349 (1838). (URL: http://books.google.ru/books?id=
  7. lUVOAAAAMAAJ&pg=PR6&lpg=PR6&dq=J.+Liouville,+%22Journal+de+Mathematiques%22+1838& source=bl&ots=fXOux62ryi&sig=UUIyMIK4NHq-a09uzmqsv2TDTak&hl=ru&ei=ijSWTdDaDYWEOs3OgdkH&sa=X&oi=book_result&ct=result&resnum=1&sqi=2&ved=0CB0Q6AEwAA#v=onepage&q&f=false).
  8. M. Ehrendorfer. The Liouville Equation in Atmospheric Predictability. Institut fur¨ Meteorologie und Geophysik, Universitat Innsbruck, Innrain 52, A–6020 Innsbruck, Austria. http://imgi.uibk.ac.at/sekretariat/Publikationen/pub_pdf/talk_ec1_els_paper.pdf.

For citation: Datsko V.S. THE FALLACY OF «LIOUVILLE'S THEOREM» AND PREDICTABLE ATMOSPHERE AND CLIMATE. Proceedings of the International conference “InterCarto. InterGIS”. 2016;22(2):311–321 DOI: 10.24057/2414-9179-2016-2-22-311-321 (in Russian)