Invariant Manifolds for the Burgers Equation Defined on a Semiaxis
- Authors: Gorshkov A.V.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 58, No 1 (2018)
- Pages: 90-101
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/179973
- DOI: https://doi.org/10.1134/S0965542518010062
- ID: 179973
Cite item
Abstract
Stable nonlocal invariant manifolds for the Burgers equation defined on R+ are constructed. One problem of a boundary control stabilizing the solution of this equation to zero is also studied. Results of numerical experiments are presented.
About the authors
A. V. Gorshkov
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: alexey.gorshkov.msu@gmail.com
Russian Federation, Moscow, 119991
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