On the Geophysical Green-Naghdi System
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-021-09773-7
Abstract: In this paper, a modified Green-Naghdi system with the effect of the Coriolis force is derived, which is a model in the equatorial oceanography to describe the propagation of large amplitude surface waves. The effects… read more here.
Keywords: traveling wave; system; wave solutions; naghdi system ... See more keywords
Diffusion effect on plane harmonic waves through thermoelastic microstretch medium in context of Green–Naghdi theory
Sign Up to like & getrecommendations! Published in 2019 at "Indian Journal of Physics"
DOI: 10.1007/s12648-019-01545-0
Abstract: In this article, wave propagation phenomena are studied in a diffusive microstretch thermoelastic medium. Thermal signals moving in the medium are studied by a generalized thermoelastic theory presented by Green and Naghdi. The effect of… read more here.
Keywords: medium; diffusion effect; green naghdi; effect ... See more keywords
Derivation and well-posedness of the extended Green-Naghdi equations for flat bottoms with surface tension
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5020601
Abstract: In this paper, we will derive the two-dimensional extended Green-Naghdi system {see Matsuno [Proc. R. Soc. A 472, 20160127 (2016)] for determination in a various way} for flat bottoms of order three with respect to… read more here.
Keywords: naghdi equations; green naghdi; well posedness; flat bottoms ... See more keywords
Energy decay in Green–Naghdi thermoelasticity with diffusion and dissipative boundary controls
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Thermal Stresses"
DOI: 10.1080/01495739.2016.1261262
Abstract: ABSTRACT We study the asymptotic behavior of the solutions of a three-dimensional hyperbolic system arising in the Green–Naghdi models of thermoelasticity with diffusion of type-II and III, in the presence of dissipative boundary controls and… read more here.
Keywords: dissipative boundary; thermoelasticity diffusion; boundary controls; green naghdi ... See more keywords
On thermo-electro-viscoelastic relaxation functions in a Green–Naghdi type theory
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DOI: 10.1080/01495739.2020.1782293
Abstract: Abstract We find restrictions on the relaxation functions of thermo-electro-viscoelastic materials. This is achieved within an extension of the Green–Naghdi theory for thermoelasticity, which uses the energy equation to exploit constitutive equations. These restrictions extend… read more here.
Keywords: electro viscoelastic; thermo electro; theory; green naghdi ... See more keywords
Electro–magneto interaction in fractional Green-Naghdi thermoelastic solid with a cylindrical cavity
Sign Up to like & getrecommendations! Published in 2018 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2017.1332798
Abstract: Abstract A unified mathematical model of Green–Naghdi’s thermoelasticty theories (GN), based on fractional time-derivative of heat transfer is constructed. The model is applied to solve a one-dimensional problem of a perfect conducting unbounded body with… read more here.
Keywords: electro magneto; cylindrical cavity; green naghdi; interaction fractional ... See more keywords
Fractional Green–Naghdi theory for thermoelectric MHD
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DOI: 10.1080/17455030.2018.1459061
Abstract: ABSTRACT In this work, we use the Green–Naghdi theory of thermomechanics of continua to derive a linear theory of MHD thermoelectric fluid with fractional order of heat transfer. This theory permits propagation of thermal waves… read more here.
Keywords: mhd; theory; green naghdi; naghdi theory ... See more keywords
Refined dual-phase-lag Green–Naghdi models for thermoelastic diffusion in an infinite medium
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DOI: 10.1080/17455030.2020.1807073
Abstract: This article has been devoted to investigating the thermoelastic diffusion problem of an infinite medium. The simple and refined single/dual-phase-lag Green–Naghdi models with and without energy di... read more here.
Keywords: infinite medium; phase lag; green naghdi; thermoelastic diffusion ... See more keywords