Well-posedness and general decay for Moore–Gibson–Thompson equation in viscoelasticity with delay term
Sign Up to like & getrecommendations! Published in 2021 at "Ricerche Di Matematica"
DOI: 10.1007/s11587-021-00561-9
Abstract: The problem of Moore–Gibson–Thompson equation with infinite memory and time delay terms is considered. Under suitable Lyapunov functionals with an appropriate assumptions on the kernel function and on the weight of the delay, we prove… read more here.
Keywords: gibson thompson; well posedness; moore gibson; thompson equation ... See more keywords
Controllability results for the Moore–Gibson–Thompson equation arising in nonlinear acoustics
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.12.017
Abstract: Abstract We show that the Moore–Gibson–Thomson equation τ ∂ t t t y + α ∂ t t y − c 2 Δ y − b Δ ∂ t y = k ∂ t t… read more here.
Keywords: results moore; controllability results; moore gibson; equation ... See more keywords
New general decay results for a Moore–Gibson–Thompson equation with memory
Sign Up to like & getrecommendations! Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2019.1577390
Abstract: In this paper, we consider the Moore–Gibson–Thompson equation with a memory term in the subcritical case, which arises in high-frequency ultrasound applications accounting for thermal flux and molecular relaxation times. For a class of relaxation… read more here.
Keywords: gibson thompson; thompson equation; moore gibson; equation memory ... See more keywords
Solution of Moore–Gibson–Thompson Equation of an Unbounded Medium with a Cylindrical Hole
Sign Up to like & getrecommendations! Published in 2021 at "Mathematics"
DOI: 10.3390/math9131536
Abstract: In the current article, in the presence of thermal and diffusion processes, the equations governing elastic materials through thermodiffusion are obtained. The Moore–Gibson–Thompson (MGT) equation modifies and defines the equations for thermal conduction and mass… read more here.
Keywords: diffusion; moore gibson; cylindrical hole; unbounded medium ... See more keywords