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Exact Solutions of a Nonlinear Equation Describing Blow-Up Instability in Self-Oscillatory Systems
- Authors: Aristov A.I.1,2
-
Affiliations:
- Faculty of Computational Mathematics and Cybernetics, Moscow State University
- Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
- Issue: Vol 63, No 11 (2023)
- Pages: 1850-1858
- Section: Partial Differential Equations
- URL: https://rjonco.com/0044-4669/article/view/664949
- DOI: https://doi.org/10.31857/S0044466923110042
- EDN: https://elibrary.ru/CIMCNK
- ID: 664949
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Abstract
A nonclassical fourth-order partial differential equation describing blow-up instability in self-oscillatory systems is studied. Several classes of exact solutions of this equation are constructed. It is shown that these solutions include ones growing to infinity in a finite time, ones bounded globally in time, and ones bounded on any finite time interval, but not globally.
About the authors
A. I. Aristov
Faculty of Computational Mathematics and Cybernetics, Moscow State University; Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
Author for correspondence.
Email: ai_aristov@mail.ru
119992, Moscow, Russia; 119333, Moscow, Russia
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