Results 31 to 40 of about 236,380 (319)
General decay for weak viscoelastic Kirchhoff plate equations with delay boundary conditions
We consider a weak viscoelastic Kirchhoff plate model with time-varying delay in the boundary. By using a suitable energy and Lyapunov function, we obtain a decay rate for the energy, which depends on the behavior of g and α.
Sun-Hye Park, Jum-Ran Kang
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Multiple scalar particle decays and perturbation generation
(v1) 22 pages, 4 figures, 2 tables; (v2) JHEP3 style, 24 pages, references added and typos corrected, to appear in ...
Choi, Ki-Young, Gong, Jinn-Ouk
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This article deals with a non-classical model, namely a thermoelastic laminated beam along with microtemperature effects, nonlinear delay, and nonlinear structural damping, where the last two terms both affect the equation which depicts the dynamics of ...
Hicham Saber +7 more
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In this paper, we investigate a von Karman plate system with general type of relaxation functions on the boundary. We derive the general decay rate result without requiring the assumption that the initial value $ w_0 \equiv 0 $ on the boundary, using the
Jum-Ran Kang
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This article concerns linear one-dimensional thermoelastic Timoshenko system with memory and distributed delay terms where the Cattaneo law governs the heat flux q(x,t)q\left(x,t).
Moumen Abdelkader +4 more
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This paper studies a one-dimensional thermoelastic Bresse beam model, in which thermal effects governed by the Green–Naghdi theory of heat conduction are coupled specifically with the longitudinal displacement.
Fayssal Djellali +3 more
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General decay in a Timoshenko-type system with thermoelasticity with second sound
In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory.
Ayadi Mohamed Ali +3 more
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On a Laminated Timoshenko Beam with Nonlinear Structural Damping
In the present work, we study a one-dimensional laminated Timoshenko beam with a single nonlinear structural damping due to interfacial slip. We use the multiplier method and some properties of convex functions to establish an explicit and general decay ...
Tijani A. Apalara +2 more
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Temporal decay bounds in generalized heat conduction
The authors consider the generalized Maxwell-Cattaneo model for heat conduction in \(\mathbb R^N\) \((N = 2, 3)\). By using a suitable change of variable for the temperature \(T\) and exploiting the multiplier method, they establish an exponential decay bounds for \(T\), as well as its first partial derivatives, in the \(L_2(\Omega)\) norm.
Payne, L.E., Song, J.C.
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Existence and stability results of a plate equation with nonlinear damping and source term
The main goal of this work is to investigate the following nonlinear plate equation $ u_{tt}+\Delta ^2 u +\alpha(t) g(u_t) = u \vert u\vert ^{\beta}, $ which models suspension bridges.
Mohammad M. Al-Gharabli +1 more
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