The Cauchy–Dirichlet problem for the Moore–Gibson–thompson equation

F Bucci, M Eller - Comptes Rendus …, 2021 - comptes-rendus.academie-sciences …
The Cauchy–Dirichlet problem for the Moore–Gibson–Thompson equation is analyzed. With
the focus on non-homogeneous boundary data, two approaches are offered: one is based …

Inverse problem of recovering a time-dependent nonlinearity appearing in third-order nonlinear acoustic equations

SR Fu, PF Yao, Y Yu - Inverse Problems, 2024 - iopscience.iop.org
This paper is devoted to some inverse problems of recovering the nonlinearity for the Jordan–
Moore–Gibson–Thompson equation, which is a third order nonlinear acoustic equation. This …

Boundary controllability for the 1D Moore–Gibson–Thompson equation

C Lizama, S Zamorano - Meccanica, 2023 - Springer
This article addresses the boundary controllability problem for a class of third order in time
PDE, known as Moore–Gibson–Thompson equation, with a control supported on the …

Inverse coefficient problem for differential equation in partial derivatives of a fourth order in time with integral over-determination

MJ Huntul, I Tekin - Bulletin of the Karaganda University …, 2022 - mathematics-vestnik.ksu.kz
Derivatives in time of higher order (more than two) arise in various fields such as acoustics,
medical ultrasound, viscoelasticity and thermoelasticity. The inverse problems for higher …

Inverse problem for a nonlinear third order in time partial differential equation

I Tekin - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
Inverse problem for a nonlinear third order in time partial differential equation - Tekin - 2021 -
Mathematical Methods in the Applied Sciences - Wiley Online Library Skip to Article Content Skip …

Stability in Inverse Problem of Determining Two Parameters for the Moore-Gibson-Thompson Equation with Memory Terms

S Fu, L Chen, JF Zhang - Journal of Systems Science and Complexity, 2024 - Springer
In this paper, the authors consider the inverse problem for the Moore-Gibson-Thompson
equation with a memory term and variable diffusivity, which introduce a sort of delay in the …

Convolution kernel determination problem in the third order Moore–Gibson–Thompson equation

DK Durdiev, AA Boltaev, AA Rahmonov - Russian Mathematics, 2023 - Springer
This article is concerned with the study of the inverse problem of determining the difference
kernel in a Volterra type integral term function in the third-order Moore–Gibson–Thompson …

Задача определения ядра типа свертки в уравнении Мура–Гибсона–Томсона третьего порядка

ДК Дурдиев, АА Болтаев, АА Рахмонов - Известия высших учебных …, 2023 - mathnet.ru
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Identification of the time-dependent lowest term in a fourth order in time partial differential equation

İ Tekin - Communications Faculty of Sciences University of …, 2023 - dergipark.org.tr
IDENTIFICATION OF THE TIME-DEPENDENT LOWEST TERM IN A FOURTH ORDER IN
TIME PARTIAL DIFFERENTIAL EQUATION 1. Introduction Fourth Page 1 Commun.Fac.Sci.Univ.Ank.Ser …

Partial Data Inverse Problems of Determining Two Time-Dependent Coefficients for the Moore-Gibson-Thompson Equation∗

SR Fu, Y Yu, JF Zhang - Available at SSRN 4742882 - papers.ssrn.com
In this paper, we study the partial data inverse problems of determining the time-dependent
viscosity and potential terms appearing in the Moore-Gibson-Thompson (MGT) equation in …