About one model of some natural processes

Authors

  • Babeshko V.A. Kuban State University, Krasnodar, Российская Федерация
  • Evdokimova O.V. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация
  • Babeshko O.M. Kuban State University, Krasnodar, Российская Федерация

UDC

539.3

Abstract

The mathematical problem of possibility of localization of some natural processes, which are described approximately by boundary-value problems for parabolic equations of type of transfer equations, equations of heat propagation, is studied in this article. The localization of a model process, which simulates seasonal weather changes, is suggested. The properties of the solutions are found out. We can class them as an explanation of certain laws of famous natural phenomena, the causes of which are not studied. Guided by mathematical results, the authors say some analogies based themselves upon famous natural facts.

Keywords:

boundary-value problems, parabolic equations, anomaly process, integral equations, localization

Acknowledgement

Отдельные фрагменты работы выполнены при поддержке грантов РФФИ (12-01-00330, 12-01-00332, 14-08-00404, 13-01-96502, 13-01-96505, 13-01-96508, 13-01-12003-м), гранта Президента РФ (НШ-1245.2014.1), программ отделения ЭММПУ и Президиума РАН, выполняемых Южным научным центром РАН.

Author Infos

Vladimir A. Babeshko

академик РАН, д-р физ.-мат. наук, зав. кафедрой математического моделирования Кубанского государственного университета, директор Научно-исследовательского центра прогнозирования и предупреждения геоэкологических и техногенных катастроф Кубанского государственного университета

e-mail: babeshko41@mail.ru

Olga V. Evdokimova

д-р физ.-мат. наук, главный научный сотрудник Южного научного центра РАН

e-mail: evdokimova.olga@mail.ru

Olga M. Babeshko

д-р физ.-мат. наук, главный научный сотрудник Научно-исследовательского центра прогнозирования и предупреждения геоэкологических и техногенных катастроф Кубанского государственного университета

e-mail: babeshko49@mail.ru

References

  1. Babeshko V.A., Evdokimova O.V., Babeshko O.M. O "virusnoy" teorii nekotorykh anomal'nykh prirodnykh yavleniy [About the "virus" theory some anomalous natural phenomena]. Dokl. akad. nauk [Proc. of RAS], 2012, vol. 447, no. 1, pp. 33-37. (In Russian)
  2. Babeshko V.A., Evdokimova O.V., Babeshko O.M. "Virusnaya teoriya" nekotorykh prirodnykh anomaliy ["Virus theory" of some natural anomalies]. Dokl. akad. nauk [Proc. of RAS], 2012, vol. 447, no. 6, pp. 624-628. (In Russian)
  3. Babeshko V.A., Rittser D., Evdokimova O.V., Babeshko O.M. O lokalizatsii energii prirodnykh protsessov i prirodnye virusy [On the localization of the energy of natural processes and natural viruses]. Dokl. akad. nauk [Proc. of RAS], 2013, vol. 448, no. 4, pp. 406-409. (In Russian)
  4. Kochin N.E., Kibel' I.A., Roze N.V. Teoreticheskaya gidromekhanika. Ch. 2 [Theoretical Hydromechanics. Pt. 2]. Moscow, Fizmatlit Publ., 1963, 728 p. (In Russian)
  5. Babeshko V.A., Evdokimova O.V., Babeshko O.M. O lokalizatsii, rezonansakh i nekotorykh anomal'nykh yavleniyakh [Localization, resonances and some anomalous phenomena]. Ekologicheskiy vestnik nauchnykh tsentrov Chernomorskogo ekonomicheskogo sotrudnichestva [Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation], 2014, no. 1, p. 5-10. (In Russian)
  6. Vorovich I.I., Babeshko V.A. Dinamicheskie smeshannye zadachi teorii uprugosti dlya neklassicheskikh oblastey [Dynamic mixed problem of elasticity theory for nonclassical areas]. Moscow, Nauka Publ., 1979, 320 p. (In Russian)
  7. Babeshko V.A. Ob integral'nom uravnenii nekotorykh dinamicheskikh smeshannykh zadach teorii uprugosti i matematicheskoy fiziki [An integral equation of some dynamic mixed problems of elasticity theory and mathematical physics]. Prikladnaya matematika i mekhanika [Applied Mathematics and Mechanics], 1969, vol. 33, iss. 1, pp. 52-60. (In Russian)
  8. Babeshko V.A., Babeshko O.M. Metod faktorizatsii v kraevykh zadachakh v neogranichennykh oblastyakh [Factorization method in boundary value problems in unbounded domains]. Dokl. akad. nauk [Proc. of RAS], 2003, vol. 392, no. 6, pp. 767-770. (In Russian)
  9. Nobl B. Metod Vinera-Khopfa [Wiener-Hopf method]. Moscow, Inostrannaya literatura Publ., 1962, 280 p. (In Russian)
  10. Vorovich I.I., Aleksandrov V.M., Babeshko V.A. Neklassicheskie smeshannye zadachi teorii uprugosti [Non-classical mixed problem of elasticity theory]. Moscow, Nauka Pub., 1974, 456 p. (In Russian)
  11. Babeshko V.A. "Virusy" vibroprochnosti ["Viruses" vibration strength]. Izvestiya vuzov. Sev.-Kavkaz. region [Proc. of the Universities. North-Caucasus region], 1994, Spec. Iss., pp. 90-91. (In Russian)
  12. Babeshko V.A., Vorovich I.I., Obraztsov I.F. Yavlenie vysokochastotnogo rezonansa v poluogranichennykh telakh s neodnorodnostyami [The phenomenon of high-frequency resonance in semi-infinite bodies with inhomogeneities]. Izvestiya AN SSSR. Mekhanika tverdogo tela [Proc. of the Academy of Sciences of the USSR. Mechanics of Solids], 1990, no. 3, pp. 74-83. (In Russian)
  13. Babeshko V.A. O nekotorykh osobennostyakh kolebaniya poluogranichennykh tel [On some peculiarities of fluctuations in semi-infinite bodies]. Pis'ma v zhurnal tekhnicheskoy fiziki [Letters Technical Physics], 1988, vol. 14, iss. 8, pp. 716-720. (In Russian)
  14. Babeshko V.A., Evdokimova O.V., Babeshko O.M. Blochnye elementy i analiticheskie resheniya granichnykh zadach dlya sistem differentsial'nykh uravneniy [Block elements and analytical solutions of boundary value problems for systems of differential equations]. Dokl. akad. nauk [Proc. of RAS], 2014, vol. 454, no. 2, pp. 163-167. (In Russian)
  15. Babeshko V.A., Babeshko O.M. Formuly faktorizatsii nekotorykh meromorfnykh matrits-funktsiy [Factorization formulas of some meromorphic matrix functions]. Dokl. akad. nauk [Proc. of RAS], 2004, vol. 399, no. 1, pp. 163-167. (In Russian)

Issue

Pages

15-23

Submitted

2014-09-05

Published

2014-09-29

How to Cite

Babeshko V.A., Evdokimova O.V., Babeshko O.M. About one model of some natural processes. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2014, no. 3, pp. 15-23. (In Russian)