Results 21 to 30 of about 11,715 (267)

Periodic damping gives polynomial energy decay [PDF]

open access: yesMathematical Research Letters, 2017
7 pages; final version takes into account referee ...
openaire   +2 more sources

General Decay for the Degenerate Equation with a Memory Condition at the Boundary

open access: yesAbstract and Applied Analysis, 2013
We consider a degenerate equation with a memory condition at the boundary. For a wider class of relaxation functions, we establish a more general decay result, from which the usual exponential and polynomial decay rates are only special cases.
Su-Young Shin, Jum-Ran Kang
doaj   +1 more source

Sharp polynomial energy decay for locally undamped waves [PDF]

open access: yesSéminaire Laurent Schwartz — EDP et applications, 2015
In this note, we present the results of the article [LL14], and provide a complete proof in a simple case. We study the decay rate for the energy of solutions of a damped wave equation in a situation where the Geometric Control Condition is violated. We assume that the set of undamped trajectories is a flat torus of positive codimension and that the ...
Léautaud, Matthieu, Lerner, Nicolas
openaire   +1 more source

Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases

open access: yesResults in Applied Mathematics
This paper presents a new approach to the L2(R) norm decay rates of the Fourier oscillatory integral operators for some classes of degenerate phases. In particular, the sharp norm decay rates of the Fourier oscillatory integral operators for homogeneous ...
Tuan Anh Pham   +2 more
doaj   +1 more source

Optimal Decay Rates for Kirchhoff Plates with Intermediate Damping

open access: yesTrends in Computational and Applied Mathematics, 2020
In this paper we study the asymptotic behavior of Kirchhoff plates with intermediate damping. The damping considered contemplates the frictional and the Kelvin-Voigt type dampings. We show that the semigroup those equations decays polynomially in time at
J. C. V. Bravo   +2 more
doaj   +1 more source

Polynomial decay to thermoelastic plates with memory [PDF]

open access: yesQuarterly of Applied Mathematics, 2009
We consider the linear model of thermoelastic plates with memory and we show that the solution decays polynomially with rates that depend on the regularity of the initial data.
openaire   +2 more sources

Polynomial Fourier decay for fractal measures and their pushforwards. [PDF]

open access: yesMath Ann
Abstract We prove that the pushforwards of a very general class of fractal measures $$\mu $$ μ on $$\mathbb {R}^d$$ R
Baker S, Banaji A.
europepmc   +5 more sources

Surface Tension Measurement of Ti‐6Al‐4V by Falling Droplet Method in Oxygen‐Free Atmosphere

open access: yesAdvanced Engineering Materials, EarlyView.
In this article, the temperature‐dependent surface tension of free falling, oscillating Ti‐6Al‐4V droplets is investigated in both argon and monosilane doped, oxygen‐free atmosphere. Droplet temperature and oscillation are captured with one single high‐speed camera, and the surface tension is calculated with Rayleigh's formula.
Johannes May   +9 more
wiley   +1 more source

General stability for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions

open access: yesBoundary Value Problems, 2017
In this paper we consider the existence and general energy decay rate of global solution to the mixed problem for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions.
Jum-Ran Kang
doaj   +1 more source

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