Logarithmic viscoelastic wave equation in three-dimensional space
Sign Up to like & getrecommendations! Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2019.1679790
Abstract: ABSTRACT The initial-boundary value problem of logarithmic viscoelastic wave equation in three space dimensions is studied. The existence of local and global solutions for this problem are proved by means of the contraction mapping criterion… read more here.
Keywords: logarithmic viscoelastic; viscoelastic wave; equation three; wave equation ... See more keywords
Viscoelastic wave propagation analysis of axially motivated double-layered graphene sheets via nonlocal strain gradient theory
Sign Up to like & getrecommendations! Published in 2020 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2018.1490505
Abstract: ABSTRACT This paper contains a nonlocal strain gradient-based theory to survey viscoelastic wave dispersion characteristics of axially loaded double-layered graphene sheets (DLGSs) resting on the viscoelastic substrate. Actually, a comprehensive size-dependent analysis is performed in… read more here.
Keywords: strain gradient; theory; double layered; nonlocal strain ... See more keywords
Blow-Up and Global Existence Analysis for the Viscoelastic Wave Equation with a Frictional and a Kelvin-Voigt Damping
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Mathematical Physics"
DOI: 10.1155/2018/8931856
Abstract: We are concerned in this paper with the initial boundary value problem for a quasilinear viscoelastic wave equation which is subject to a nonlinear action, to a nonlinear frictional damping, and to a Kelvin-Voigt damping,… read more here.
Keywords: kelvin voigt; viscoelastic wave; wave equation; voigt damping ... See more keywords
An optimized finite element extrapolating method for 2D viscoelastic wave equation
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1496-7
Abstract: In this study, we first present a classical finite element (FE) method for a two-dimensional (2D) viscoelastic wave equation and analyze the existence, stability, and convergence of the FE solutions. Then we establish an optimized… read more here.
Keywords: finite element; method; viscoelastic wave; wave equation ... See more keywords
Viscoelastic Wave Propagation Simulation Using New Spatial Variable-Order Fractional Laplacians
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of the Seismological Society of America"
DOI: 10.1785/0120210099
Abstract: Time-domain constant-Q (CQ) viscoelastic wave equations have been derived to efficiently model Q, but are known to break down in accuracy in describing CQ attenuation at low Q. In view of this, a new time-domain… read more here.
Keywords: order; wave; viscoelastic wave; domain ... See more keywords
Uniform decay for a viscoelastic wave equation with density and time-varying delay in Rn
Sign Up to like & getrecommendations! Published in 2019 at "Filomat"
DOI: 10.2298/fil1903961z
Abstract: A linear viscoelastic wave equation with density and a time-varying delay term in the internal feedback is considered. Under suitable assumptions on the relaxation function, we establish a decay result of solution for by using… read more here.
Keywords: time varying; density time; varying delay; equation density ... See more keywords