Haut PDF Decay rates for the damped wave equation on the torus
Decay rates for the damped wave equation on the torus
... [LR97] for a wave equation damped on a (small) part of the ...paper, the authors also make the following comment about the result they obtain: “Notons toutefois ...
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Exponential decay for the damped wave equation in unbounded domains
... manifold, the uniform positivity of hγi T (x, ξ) in Σ for some T > 0 implies that the exponential decay ...in the celebrated articles [30], [3] and [4] of Bardos, Lebeau, Rauch and ...
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Energy decay for the damped wave equation under a pressure condition
... establish the presence of a spectral gap near the real axis for the damped wave equation on a manifold with negative ...by the negativity of a topological pressure ...
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DECAY FOR THE KELVIN-VOIGT DAMPED WAVE EQUATION: PIECEWISE SMOOTH DAMPING
... implies the exponential stabilization, which holds for the wave equation with localized viscous damping a(x)∂ t u (see [ LR05 , Zh18 ] for results using the multiplier ...
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One-dimensional wave equation with set-valued boundary damping: well-posedness, asymptotic stability, and decay rates
... to the full X 2 by a density argument, ...to the damping one ...2 for every s ∈ R), and exponential stability is achieved, ...−µt for some positive constants C, µ, cf. [27] for ...
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QUANTITATIVE RATES OF CONVERGENCE TO EQUILIBRIUM FOR THE DEGENERATE LINEAR BOLTZMANN EQUATION ON THE TORUS
... An equation related to ( 1 ), the 1d Goldstein-Taylor type model, has been studied in [ 7 ] where the authors do get explicit rates via comparing this equation to a damped ...
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Well-posedness and optimal decay rates for the viscoelastic Kirchhoff equation
... regarding the Kirchhoff equation subject to a frictional damping, in contrast, there is just a few number of papers concerned with the Kirchhoff equation subject to a dissipation given by a ...
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Well-posedness and optimal decay rates for the viscoelastic Kirchhoff equation
... regarding the Kirchhoff equation subject to a frictional damping, in contrast, there is just a few number of papers concerned with the Kirchhoff equation subject to a dissipation given by a ...
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Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric
... of the most efficient approaches to the question of local en- ergy decay is the theory of ...to the frequencies and rates of dumping of signals emitted by the black hole ...
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Quantitative rates of convergence to equilibrium for the degenreate linear Boltzman equation on the Torus
... An equation related to ( 1 ), the 1d Goldstein-Taylor type model, has been studied in [7] where the authors do get explicit rates via comparing this equation to a damped ...
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Stabilisation of wave equations on the torus with rough dampings
... with the works by Laurent [ 30 , 31 ], Kashiwara-Kawai [ 28 ], Sjöstrand [ 47 ], Lebeau [ 33 ] in the analytic context, (see also Bony-Lerner [ 7 ] in the C ∞ framework and Sjöstrand-Zworski [ 49 ] ...
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Exponential decay for the Schrödinger equation on a dissipative waveguide
... For the dissipative equations, this non-trapping assumption can be replaced by the same damping condition (geometric control condition) on bounded trajectories as in the compact case (where ...
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CONCENTRATION OF LAPLACE EIGENFUNCTIONS AND STABILIZATION OF WEAKLY DAMPED WAVE EQUATION
... as the damping b ≥ 0 is non trivial, the energy of every solution converge to 0 as t tends to ...On the other hand the rate of decay is uniform (and hence exponential) in energy space ...
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NULL CONTROLLABILITY OF THE STRUCTURALLY DAMPED WAVE EQUATION ON THE TWO-DIMENSIONAL TORUS
... establish the observability inequality ( ...estimates for the backward heat equation ( 1.34 ) and for the transport equation ( ...with the same weights functions. ...
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Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
... particular, the existence of a spectral gap was established for all α 6= α ∗ = (2 − d)/2, but its value was not stated for all values of ...linearized the fast diffusion flow (considered as a ...
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Global infinite energy solutions for the cubic wave equation
... In the case d = 4 one may expect to get uniqueness by combining the analysis of [8] with the critical H 1 theory for ...include the case s = 0 by elaborating on the arguments ...
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1-D non-periodic homogenization for the seismic wave equation
... In the static case, this kind of problem has been studied for a long time and a large number of results have been obtained us- ing the so-called homogenization theory applied to media showing rapid ...
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Decay rates for radiative transitions in the Pr IV spectrum
... IV The ground state of Pr IV is [Xe]4f 2 3 H 4 . All of the term energies experimentally deduced so far are listed in the NIST compilation (Martin et al 1978 ) which contains 88 levels identified as ...
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Alfvén Wave Propagation in the Io Plasma Torus
... in the Io torus is close to rotating with Jupiter's 10 ‐hr spin ...that the sulfur and oxygen ions experience a considerable centrifugal force that tends to con fine them to the farthest point ...
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Unique continuation property and control for the Benjamin-Bona-Mahony equation on the torus
... is the trivial one u ≡ ...to the approximate controllability for linear PDE, and it is involved in the classical unique- ness/compactness approach in the proof of the stability ...
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