Local dynamics of two-component singularly perturbed parabolic systems
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I. S. Kashchenko and S. A. Kashchenko
Translated by: E. Khukhro - Trans. Moscow Math. Soc. 2016, 55-68
- DOI: https://doi.org/10.1090/mosc/252
- Published electronically: November 28, 2016
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Abstract:
We consider the local dynamics in a neighbourhood of a stationary state of a two-component system of parabolic equations with periodic boundary conditions. In the critical cases we construct families of special equations—quasinormal forms whose solutions in principle give asymptotic solutions, up to the residual, of the original singularly perturbed system.References
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Bibliographic Information
- I. S. Kashchenko
- Affiliation: Yaroslavl’ State University
- Email: iliyask@uniyar.ac.ru
- S. A. Kashchenko
- Affiliation: Yaroslavl’ State University, National Research Nuclear University (Moscow Engineering Physics Institute)
- Email: kasch@uniyar.ac.ru
- Published electronically: November 28, 2016
- Additional Notes: This research was supported by project no. 984 within the framework of the basic part of the state programme for scientific research of Yaroslavl’ State University and a grant from the President of the Russian Federation (contract no. 14.124.13.5948-MK)
- © Copyright 2016 American Mathematical Society
- Journal: Trans. Moscow Math. Soc. 2016, 55-68
- MSC (2010): Primary 35K67; Secondary 35B10, 35B25, 35C20, 35K40
- DOI: https://doi.org/10.1090/mosc/252
- MathSciNet review: 3643964