A Suggested Modification of Millionshchikov’s Zero-Fourth Cumulant Hypothesis

fe2fa218-6ac4-4edd-9f7f-89a5d517c09320220310042920896naun:naunmdt@crossref.orgMDT DepositInternational Journal of Systems Applications, Engineering & Development2074-130810.46300/91015http://www.naun.org/cms.action?id=3100111202211120221610.46300/91015.2022.16https://npublications.com/journals/saed/2022.phpA Suggested Modification of Millionshchikov’s Zero-Fourth Cumulant HypothesisChristosMamaloukasDepartment of Statistics, Athens University of Economics and Business, Athens, 10434, GreeceAmitabhaChandaVisiting Faculty, Calcutta University, P36/1, Manasbag, Kolkata 700056, IndiaHimandri PaiMazumdarIndian Statistical Institute, Calcutta - 700035, India31020223102022565911https://npublications.com/journals/saed/2022/a222014-011(2022).pdf10.46300/91015.2022.16.11https://npublications.com/journals/saed/2022/a222014-011(2022).pdfM. D. Millionshchikov. 1941. Dokl. AN SSSR, v32, no.3. Heisenberg, W. 1948. Z. Physik, 124, 628. Obukhov, A.M. 1949. Doklady Akad. Nauk. S.S.S.R. 66, 17. Batchelor, G.K. 1951.Proc. Cambridge Phi. Soc., 47, 359. Chandrasekhar, S. Proc. 1951. Roy. Soc. (London), A210, 18. Reid, W.H. & I. Proudman. 1954. Trans. Roy. Soc. (London), A247, 163. Uberoi. 1953. J. Aeronautical Sc.20, 197. Ghosh K.M. 1972, Indian Journal of Pure and Appl.Math.,Vol. 3, No.1, p. 157 Bos & Rubenstein. arXiv:1308.0213v1. Aug, 2013. Chen, H. , Herring, J.R. , Kerr, R.M. , & Kraichnan, R.H. 1989. Phys. Fluids A, 1, 1844. Chen, S & Kraichnan, R.H. 1989. Phys. Fluids A, 1, 2019. H. P. Mazumdar and Christos Mamaloukas. 2012. Athens ATINER Conference Paper Series, no. MAT 2012-0103. 10.12988/imf.2013.13049C. Mamaloukas, “A New Look at the Final-Period Decay of Homogeneous Isotropic Turbulence”, International Mathematical Forum, Vol. 8, 2013, no. 10, 495 – 499 Y. Ogura. .1963. J Fluid Mech., v16, no.1. A. P. Mirabel. 1969. Izv AN SSSR, Mekhanika Zhidvos l Gaza., v4, no.5, pp 171-176. Kraichnan, R.H. 1957. Physical Review. V 107, no. 6. R.H. Kraichnan & R. Panda 1988. Phys. Fluids, 31, 2395. Nelkin, M. & Tabor, M. 1990. Phys. Fluids A, 2, 81. Ishihara, T. , Kaneda, Y. , Yokokawa, M. , Itakura, K. , & Uno, A. 2003. J. Phys. Soc. Japan, 72. Gryanik, V.M & Hartmann, 2005. J. Workshop on Interdisciplinary Aspects of Turbulence. Schlo_ Ringberg at Lake Tegernsee. Gotoh, T. & Fukayama, D. 2001. Phys. Rev. Lett., 86, 3775. Kolmogorov, A.N. 1941. Dokl. Akad. Nauk. SSSR, 30, 301. Hans C. Eggersa and Martin Greinerb, arXiv:hepph/0011291v1 Servidio, S. , Matthaeus, W. H. , & Dmitruk, P. 2008. Phys. Rev. Lett., 100, 095005.