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Exponential stability result for the wave equation with Kelvin–Voigt damping and past history subject to Wentzell boundary condition and delay term.
- Source :
-
Mathematical Methods in the Applied Sciences . Feb2024, Vol. 47 Issue 3, p1546-1576. 31p. - Publication Year :
- 2024
-
Abstract
- In this paper, we present an analysis of stability of solutions corresponding to a variable coefficient's wave equation subject to a locally Kelvin–Voigt damping and distributed effect driven by a nonnegative function b(x)≥0$$ b(x)\ge 0 $$ with dynamic Wentzell boundary conditions and delay term. By using frequency domain approach method, we show that under a suitable assumption between the internal damping function c$$ c $$ and the boundary delay feedback, considering some geometrical assumptions on the boundary of Ω$$ \Omega $$, supposing that the relaxation function h$$ h $$ decay exponentially to zero, that the energies of the problem decay exponentially to zero. [ABSTRACT FROM AUTHOR]
- Subjects :
- *WAVE equation
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 174780799
- Full Text :
- https://doi.org/10.1002/mma.9708