Energy decay of some multi-term nonlocal-in-time Moore-Gibson-Thompson equations (Q6635200)

scientific article; zbMATH DE number 7940987

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English	Energy decay of some multi-term nonlocal-in-time Moore-Gibson-Thompson equations	scientific article; zbMATH DE number 7940987

Statements

instance of

scholarly article

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title

Energy decay of some multi-term nonlocal-in-time Moore-Gibson-Thompson equations (English)

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Journal of Mathematical Analysis and Applications

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publication date

9 November 2024

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zbMATH Keywords

Moore-Gibson-Thompson equation

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fractional calculus

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wave equations

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energy decay

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Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations

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On the regularity of solutions to the Moore-Gibson-Thompson equation: a perspective via wave equations with memory

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The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case

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The generalized Cattaneo equation for the description of anomalous transport processes

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Decay rates of Volterra equations on \(\mathbb R^N\)

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Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature

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On the Moore-Gibson-Thompson equation and its relation to linear viscoelasticity

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Q5189317

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Equivalence between a time-fractional and an integer-order gradient flow: the memory effect reflected in the energy

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Exact controllability and boundary stabilization of torsional vibrations of an internally damped flexible space structure

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Q4692887

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Waves with Power-Law Attenuation

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A Model Equation for Viscoelasticity with a Strongly Singular Kernel

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Q5500898

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WELL-POSEDNESS AND EXPONENTIAL DECAY OF THE ENERGY IN THE NONLINEAR JORDAN–MOORE–GIBSON–THOMPSON EQUATION ARISING IN HIGH INTENSITY ULTRASOUND

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Limiting behavior of quasilinear wave equations with fractional-type dissipation

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Vanishing relaxation time limit of the Jordan--Moore--Gibson--Thompson wave equation with Neumann and absorbing boundary conditions

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Time-fractional Moore–Gibson–Thompson equations

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Global solvability of Moore-Gibson-Thompson equation with memory arising in nonlinear acoustics

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Moore-Gibson-Thompson equation with memory. II: General decay of energy.

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An abstract semigroup approach to the third‐order Moore–Gibson–Thompson partial differential equation arising in high‐intensity ultrasound: structural decomposition, spectral analysis, exponential stability

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A unified analysis framework for generalized fractional Moore--Gibson--Thompson equations: Well-posedness and singular limits

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Global existence and asymptotic behavior for a fractional differential equation

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Q5727512

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Decay rates of solutions of an anisotropic inhomogeneous \(n\)-dimensional viscoelastic equation with polynomially decaying kernels

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Nonlinear acoustic equations of fractional higher order at the singular limit

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Frequency domain methods for Volterra equations

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Wellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound

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On the Cauchy problem of the standard linear solid model with Fourier heat conduction

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Optimal scalar products in the Moore-Gibson-Thompson equation

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Moore–Gibson–Thompson thermoelasticity

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Q4340161

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Partial Differential Equations in Action

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An Inequality for Positive Definite Volterra Kernels

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Q5664922

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Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order

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Lyapunov functions and convergence to steady state for differential equations of fractional order

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Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods

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Identifiers

DOI

10.1016/j.jmaa.2024.128791

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6635200