Asymptotic Analysis of the Generalized Convection Problem


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Authors

  • Natalya S. Ivleva
  • Valeriy B. Levenshtam

Keywords:

generalized convection problem, quickly oscillating in time terms, complete asymptotics of periodic in time solution

Abstract

The averaging method is justified and the complete asymptotics of a solution periodic in time is constructed and justified for an evolutional system of partial differential equations with quickly oscillating in time junior terms, some of which are proportional to the frequency of oscillations. The considered system generalizes the well-known thermal liquid convection problem (in Oberdeck-Boussinesc approach) when a vessel with a liquid vibrates with high frequency.

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Published

2015-03-30

How to Cite

Ivleva, N. S., & Levenshtam, V. B. (2015). Asymptotic Analysis of the Generalized Convection Problem. Eurasian Mathematical Journal, 6(1), 41–55. Retrieved from https://emj.enu.kz/index.php/main/article/view/596

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