Results 231 to 240 of about 12,289 (264)

Polynomial stability without polynomial decay of the relaxation function

Mathematical Methods in the Applied Sciences, 2008
AbstractWe consider a linear viscoelastic problem and prove polynomial asymptotic stability of the steady state. This work improves previous works where it is proved that polynomial decay of solutions to the equilibrium state occurs provided that the relaxation function itself is polynomially decaying to zero. In this paper we will not assume any decay
Nasser-Eddine Tatar
exaly   +3 more sources

Uniform rates of decay in nonlinear viscoelasticity for polynomial decaying kernels

Applicable Analysis, 1996
We prove a global existence theorem for the nonlinear viscoelastic equation for small data in and that the solution decays algebraically to zero when the kernel decays also algebraically as t goes to infinity. That is, if the kernel g satisfies with p > 2, then the firts and second order energy decay as .
Jaime E Muñoz Rivera
exaly   +2 more sources

Subdivision schemes with polynomially decaying masks

Advances in Computational Mathematics, 2009
The \(L_2\)-solutions of vector refinement equations with polynomially decaying masks and a general dilation matrix, which plays a vital role for characterizations of wavelets and biorthogonal wavelets with infinite support are studied here [cf. \textit{B. Han} and \textit{R.-Q. Jia}, Appl. Comput. Harmon. Anal.
Song Li, Yali Pan
openaire   +1 more source

On the Decay of Infinite Products of Trigonometric Polynomials [PDF]

Mathematical Notes, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +6 more sources

Polynomial Decay for the Timoshenko System with Dynamical Boundary Conditions

Bulletin of the Malaysian Mathematical Sciences Society, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ammar Khemmoudj, Naouel Kechiche
openaire   +2 more sources

Billiards with polynomial decay of correlations

Ergodic Theory and Dynamical Systems, 2004
The author proves that the billiard map in a Bunimovich stadium has polynomial decay of correlations of the order of \(n^{-1}\). Ergodic Bunimovich-type billiards (two arcs not bigger than half a circle) that do not have trajectories with infinitely many consecutive bounces on straight lines satisfy the same property.
openaire   +1 more source

Polynomial and Exponential Spatial Decay Estimates in Elasticity

Journal of Elasticity, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Stabilisation and polynomial decay estimate for distributed semilinear systems

International Journal of Control, 2012
In this article, we propose a family of feedback controls that guarantee weak and strong stabilisability for distributed semilinear systems. In the case of strong stabilisation, an optimal decay of the state is estimated. Applications to wave equations are provided.
Mohamed Ouzahra, Azzeddine Tsouli, Ali Boutoulout   +2 more
openaire   +1 more source

Polynomial decay of correlations for almost Anosov diffeomorphisms

Ergodic Theory and Dynamical Systems, 2017
We investigate the polynomial lower and upper bounds for decay of correlations of a class of two-dimensional almost Anosov diffeomorphisms with respect to their Sinai–Ruelle–Bowen (SRB) measures. The degrees of the bounds are determined by the expansion and contraction rates as the orbits approach the indifferent fixed point, and are expressed by using
Zhang, Xu, Hu, Huyi
openaire   +2 more sources