Blowing‐up solutions for the Moore–Gibson–Thompson equation with a viscoelastic memory and an external force
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10094
Abstract: The Moore–Gibson–Thompson equation with a viscoelastic memory and a forcing term is considered. The existence and uniqueness of a local solution are obtained via Faedo–Galerkin's method. Furthermore, it is shown that solutions with or without… read more here.
Keywords: gibson thompson; moore gibson; equation viscoelastic; thompson equation ... See more keywords
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
Spatial Decay Estimates for the Moore-Gibson-Thompson Heat Equation
Sign Up to like & getrecommendations! Published in 2024 at "Wuhan University Journal of Natural Sciences"
DOI: 10.1051/wujns/2024295397
Abstract: In this article, the Moore-Gibson-Thompson heat equation in three-dimensional cylindrical domain are studied. Using a second order differential inequality, we obtain that the solution can decay exponentially as the distance from the entry section tends… read more here.
Keywords: gibson thompson; thompson heat; moore gibson; heat 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
Spatial Decay Estimates for the Moore-Gibson-Thompson Heat Equation Based on an Integral Differential Inequality
Sign Up to like & getrecommendations! Published in 2025 at "Axioms"
DOI: 10.3390/axioms14040265
Abstract: The present work investigates the spatial evolution characteristics of solutions to the Moore–Gibson–Thompson heat equation within a three-dimensional cylindrical geometry. By constructing an integral-differential inequality framework, we establish rigorous estimates demonstrating the exponential spatial decay… read more here.
Keywords: integral differential; gibson thompson; differential inequality; moore gibson ... 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