SOLVABILITY OF THE MOORE–GIBSON–THOMPSON EQUATION WITH VISCOELASTIC MEMORY TERM AND INTEGRAL CONDITION VIA GALERKIN METHOD

Salah Boulaaras
Additional contact information
Salah Boulaaras: Department of Mathematics, College of Sciences and Arts, Ar-Rass, Qassim University, Kingdom of Saudi Arabia2Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Algeria

FRACTALS (fractals), 2021, vol. 29, issue 05, 1-18

Abstract: We consider the following abstract version of the Moore–Gibson–Thompson (MGT) equation: auttt + βutt + c2Δu + bΔu t +∫0th(t − s)Δu(s)ds = 0, depending on the parameters a, β, b > 0, and h is a convex and nonnegative memory kernel. The related energy has been shown to decay exponentially by Boulaaras et al., Math. Meth. Appl. Sci. 42 (2019) 2664–2679; Lasiecka et al., Z. Angew. Math. Phys. 67 (2016) 17. Here, in this original work, the solvability of the abstract version of nonlocal mixed boundary value problem for the MGT equation via Galerkin’s method is discussed.

Keywords: Moore–Gibson–Thompson Equation; Nonlocal Condition; Approximate Solution; Galerkin’s Method (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X21400211
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:05:n:s0218348x21400211

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X21400211

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().