Uniqueness of the Leray-Hopf solution for a dyadic model
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- by N. D. Filonov PDF
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Abstract:
The dyadic problem $\dot u_n + \lambda ^{2n} u_n - \lambda ^{\beta n} u_{n-1}^2 + \lambda ^{\beta (n+1)} u_n u_{n+1} = 0$ with “smooth” initial data is considered. The uniqueness of the Leray-Hopf solution is proved.References
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Additional Information
- N. D. Filonov
- Affiliation: St. Petersburg Department of Steklov Mathematical Institute, 27 Fontanka, St. Petersburg 191023, Russia — and — Department of Physics, St. Petersburg State University, Ulyanovskaya 1, Petrodvorets, St. Petersburg 198504, Russia
- MR Author ID: 609754
- Email: filonov@pdmi.ras.ru
- Received by editor(s): February 13, 2016
- Published electronically: March 31, 2017
- Additional Notes: The author was supported by grant RFBR 14-01-00306
- © Copyright 2017 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 369 (2017), 8663-8684
- MSC (2010): Primary 34G20; Secondary 35Q30
- DOI: https://doi.org/10.1090/tran/6996
- MathSciNet review: 3710639