Energy Decay of Solutions of Porous‐Elastic System With Kelvin–Voigt Damping and Infinite Memory
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.11037
Abstract: This paper examines a one‐dimensional porous‐elastic system that incorporates Kelvin–Voigt damping and viscoelastic damping of infinite memory type in the volume fraction equation. We investigate the asymptotic behavior of solutions of the system and establish… read more here.
Keywords: porous elastic; kelvin voigt; damping infinite; elastic system ... See more keywords
Porous elastic system with nonlinear damping and sources terms
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.11.006
Abstract: Abstract We study the long-time behavior of porous-elastic system, focusing on the interplay between nonlinear damping and source terms. The sources may represent restoring forces, but may also be focusing thus potentially amplifying the total… read more here.
Keywords: system; porous elastic; system nonlinear; elastic system ... See more keywords
Reduced order modelling in stochastically parametered acousto-elastic system using arbitrary PCE based SEREP
Sign Up to like & getrecommendations! Published in 2018 at "Probabilistic Engineering Mechanics"
DOI: 10.1016/j.probengmech.2018.02.002
Abstract: Abstract This study focusses on developing a novel reduced order model for dynamic analysis of an acousto-elastic system, such as an impeller housed in a pressurised incompressible fluid filled chamber. Resolving the coupled dynamics of… read more here.
Keywords: acousto elastic; reduced order; arbitrary pce; order ... See more keywords
On the exponential stability of a truncated porous elastic system with second sound thermoelasticity
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DOI: 10.1080/01495739.2025.2558182
Abstract: Abstract This study investigates the well-posedness and the long-time behavior of the solution to a truncated porous thermoelastic system, in which the thermal disturbance is modeled using Cattaneo’s law of heat conduction. The system is… read more here.
Keywords: system; exponential stability; truncated porous; porous elastic ... See more keywords
Surface plasmon resonance of nanoparticles in two-dimensional elastic system
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DOI: 10.1088/1402-4896/acd88c
Abstract: In this paper we demonstrate the surface plasmon resonance of nanoparticles in a two-dimensional elastic system. We use the layer potential technique related to the elastic equations and make an asymptotic expansion of the disturbed… read more here.
Keywords: surface plasmon; plasmon resonance; elastic system;