Email this article The Existence and Behavior of Global Solutions to a Mixed Problem with Acoustic Transmission Conditions for Nonlinear Hyperbolic Equations with Nonlinear Dissipation
- Authors: Aliev A.B.1,2, Isayeva S.E.3
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Affiliations:
- Institute of Mathematics and Mechanics
- Azerbaijan Technical University
- Baku State University
- Issue: Vol 98, No 3 (2018)
- Pages: 555-558
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225580
- DOI: https://doi.org/10.1134/S1064562418070062
- ID: 225580
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Abstract
A mixed problem with acoustic transmission conditions for nonlinear hyperbolic equations with nonlinear dissipation is considered. The existence, uniqueness, and exponential decay of global solutions to this problem with focusing nonlinear sources are proved Additionally, the existence of global solutions and the solution blow-up in a finite time are proved for the case of defocusing nonlinear sources.
About the authors
A. B. Aliev
Institute of Mathematics and Mechanics; Azerbaijan Technical University
Author for correspondence.
Email: alievakbar@gmail.com
Azerbaijan, Baku, AZ 1141; Baku, AZ 1073
S. E. Isayeva
Baku State University
Email: alievakbar@gmail.com
Azerbaijan, Baku, AZ 1148
