Stability for the damped wave equation with neutral delay
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201600229
Abstract: Of concern is a wave equation with a distributed neutral delay. We prove that, despite the destructive nature of delays in general, solutions may go back to the equilibrium state in an exponential manner as… read more here.
Keywords: neutral delay; stability damped; delay; damped wave ... See more keywords
Indirect stability of the wave equation with a dynamic boundary control
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DOI: 10.1002/mana.201700021
Abstract: In this paper, we consider a damped wave equation with a dynamic boundary control. First, combining a general criteria of Arendt and Batty with Holmgren's theorem we show the strong stability of our system. Next,… read more here.
Keywords: decay; system; control; polynomial decay ... See more keywords
A new analysis for fractional model of regularized long‐wave equation arising in ion acoustic plasma waves
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4414
Abstract: The key purpose of the present work is to constitute a numerical scheme based on q-homotopy analysis transform method to examine the fractional model of regularized long-wave equation. The regularized long-wave equation explains the shallow… read more here.
Keywords: analysis; fractional model; regularized long; long wave ... See more keywords
Stabilization of a one-dimensional wave equation with variable coefficient under non-collocated control and delayed observation
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DOI: 10.1002/mma.4654
Abstract: In this paper, we consider stabilization of a 1-dimensional wave equation with variable coefficient where non-collocated boundary observation suffers from an arbitrary time delay. Since input and output are non-collocated with each other, it is… read more here.
Keywords: equation variable; observation; non collocated; equation ... See more keywords
A general decay result of a wave equation with a dynamic boundary control of diffusive type
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DOI: 10.1002/mma.5544
Abstract: We study a wave equation with a dynamic boundary control of diffusive type. We establish optimal and explicit energy decay formula by using resolvent estimates. Our new result generalizes and improves the earlier related results… read more here.
Keywords: boundary control; wave equation; dynamic boundary; diffusive type ... See more keywords
Analysis and numerical computations of the fractional regularized long‐wave equation with damping term
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DOI: 10.1002/mma.6343
Abstract: This study explores the fractional damped generalized regularized long‐wave equation in the sense of Caputo, Atangana‐Baleanu, and Caputo‐Fabrizio fractional derivatives. With the aid of fixed‐point theorem in the Atangana‐Baleanu fractional derivative with Mittag‐Leffler–type kernel, we… read more here.
Keywords: wave equation; long wave; regularized long; atangana baleanu ... See more keywords
Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation
Sign Up to like & getrecommendations! Published in 2022 at "Numerische Mathematik"
DOI: 10.1007/s00211-021-01259-8
Abstract: Time-domain Boundary Element Methods (BEM) have been successfully used in acoustics, optics and elastodynamics to solve transient problems numerically. However, the storage requirements are immense, since the fully populated system matrices have to be computed… read more here.
Keywords: boundary element; wave equation; cross approximation; approximation ... See more keywords
A Non-degenerate Scattering Theory for the Wave Equation on Extremal Reissner–Nordström
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DOI: 10.1007/s00220-020-03857-3
Abstract: It is known that sub-extremal black hole backgrounds do not admit a (bijective) non-degenerate scattering theory in the exterior region due to the fact that the redshift effect at the event horizon acts as an… read more here.
Keywords: theory wave; equation extremal; non degenerate; wave equation ... See more keywords
Fractional Burgers wave equation
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DOI: 10.1007/s00707-019-02500-0
Abstract: Thermodynamically consistent fractional Burgers constitutive models for viscoelastic media, divided into two classes according to model behavior in stress relaxation and creep tests near the initial time instant, are coupled with the equation of motion… read more here.
Keywords: fractional burgers; solution; wave equation; burgers wave ... See more keywords
Pullback Attractors for a Damped Semilinear Wave Equation with Delays
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DOI: 10.1007/s10114-018-7420-3
Abstract: In this paper, we consider the weakly damped wave equations with hereditary effects, and the nonlinearity f satisfies critical growth. The delay term g(t, ut) may be driven by a function with very weak assumptions,… read more here.
Keywords: semilinear wave; pullback attractors; attractors damped; damped semilinear ... See more keywords
Transportation Cost-Information Inequality for Stochastic Wave Equation
Sign Up to like & getrecommendations! Published in 2019 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-019-00292-y
Abstract: In this paper, we prove a Talagrand’s \(T_{2}\) transportation cost-information inequality for the law of stochastic wave equation in spatial dimension \(d=3\) driven by the Gaussian random field, white in time and correlated in space,… read more here.
Keywords: cost information; transportation cost; information inequality; stochastic wave ... See more keywords