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Exponential stability of the nonlinear transmission acoustic problem
Author(s) -
Aliev Akbar B.,
Isayeva Sevda E.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5215
Subject(s) - uniqueness , mathematics , exponential stability , nonlinear system , stability (learning theory) , transmission (telecommunications) , exponential function , mathematical analysis , exponential growth , computer science , physics , telecommunications , quantum mechanics , machine learning
In this paper, we consider a mixed problem for the nonlinear wave equations with transmission acoustic conditions, that is, the wave propagation over bodies consisting of two physically different types of materials, one of which is clamped. We prove the existence, uniqueness, and exponential stability of global solutions for this problem.