Blowing-up solutions for the Moorea–Gibson–Thompson equation with a viscoelastic memory and an external force

Mokhtar Kirane; Ala Eddine Draifia; Lotfi Jlali

doi:10.1002/mma.10094

Blowing-up solutions for the Moorea–Gibson–Thompson equation with a viscoelastic memory and an external force

Mokhtar Kirane, Ala Eddine Draifia, Lotfi Jlali

Research output: Contribution to journal › Article › peer-review

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 a positive initial energy experience blowing-up due to the nonlinear forcing term.

Original language	British English
Journal	Mathematical Methods in the Applied Sciences
DOIs	https://doi.org/10.1002/mma.10094
State	Accepted/In press - 2024

Keywords

blow-up
Faedo–Galerkin's method
Moore–Gibson–Thompson equation
viscoelastic memory

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10.1002/mma.10094

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title = "Blowing-up solutions for the Moorea–Gibson–Thompson equation with a viscoelastic memory and an external force",

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 a positive initial energy experience blowing-up due to the nonlinear forcing term.",

keywords = "blow-up, Faedo–Galerkin's method, Moore–Gibson–Thompson equation, viscoelastic memory",

author = "Mokhtar Kirane and Draifia, {Ala Eddine} and Lotfi Jlali",

note = "Publisher Copyright: {\textcopyright} 2024 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons Ltd.",

year = "2024",

doi = "10.1002/mma.10094",

language = "British English",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

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T1 - Blowing-up solutions for the Moorea–Gibson–Thompson equation with a viscoelastic memory and an external force

AU - Kirane, Mokhtar

AU - Draifia, Ala Eddine

AU - Jlali, Lotfi

PY - 2024

Y1 - 2024

N2 - 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 a positive initial energy experience blowing-up due to the nonlinear forcing term.

AB - 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 a positive initial energy experience blowing-up due to the nonlinear forcing term.

KW - blow-up

KW - Faedo–Galerkin's method

KW - Moore–Gibson–Thompson equation

KW - viscoelastic memory

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U2 - 10.1002/mma.10094

DO - 10.1002/mma.10094

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SN - 0170-4214

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

ER -

Blowing-up solutions for the Moorea–Gibson–Thompson equation with a viscoelastic memory and an external force

Abstract

Keywords

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