Email this article Estimation of Decay of the Solutions of Initial-Boundary-Value Problem for the System of Semilinear Equations of Magnetoelasticity in Exterior Domains
- Authors: Botsenyuk O.M.1
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Affiliations:
- Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 220, No 1 (2017)
- Pages: 38-49
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/238777
- DOI: https://doi.org/10.1007/s10958-016-3166-6
- ID: 238777
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Abstract
We study the behavior as t → ∞ of strong solutions of the initial-boundary-value problem for the system of semilinear equations of magnetoelasticity in exterior domains. For the vectors of magnetic induction and displacements, the estimates of decay are obtained in L∞ and in the Sobolev spaces of fractional order, respectively.
About the authors
O. M. Botsenyuk
Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Lviv
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