Email this article Averaging of Parabolic Initial-Boundary Value Problems with Rapidly Oscillating Principal Part
- Authors: Babich P.V.1, Levenshtam V.B.1,2
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Affiliations:
- Southern Federal University
- Southern Mathematical Institute of the Vladikavkaz Scientific Center of the RAS and the Government of the Republic Northern Ossetia-Alania
- Issue: Vol 219, No 1 (2016)
- Pages: 27-34
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/238447
- DOI: https://doi.org/10.1007/s10958-016-3080-y
- ID: 238447
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Abstract
We justify the Krylov–Bogolyubov averaging method for linear and quasilinear parabolic second order initial-boundary value problems with rapidly time-oscillating principal terms.
About the authors
P. V. Babich
Southern Federal University
Email: vleven@math.rsu.ru
Russian Federation, 105/42 Sadovaya St., Rostov-on-Don, 344006
V. B. Levenshtam
Southern Federal University; Southern Mathematical Institute of the Vladikavkaz Scientific Center of the RAS and the Government of the Republic Northern Ossetia-Alania
Author for correspondence.
Email: vleven@math.rsu.ru
Russian Federation, 105/42 Sadovaya St., Rostov-on-Don, 344006; 22, Markusa St., Vladikavkaz, 362027
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