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113,553
Heavytraffic asymptotic expansions for the asymptotic decay rates
 in the BMAP/G/1 queue. Stochastic Models
, 1994
"... versatile Markovian point process, tail probabilities in queues, asymptotic decay rate, PerronFrobenius eigenvalue, asymptotic expansion, caudal characteristic curve, heavy traffic In great generality, the basic steadystate distributions in the BMAP / G /1 queue have asymptotically exponential tai ..."
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Cited by 18 (11 self)
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versatile Markovian point process, tail probabilities in queues, asymptotic decay rate, PerronFrobenius eigenvalue, asymptotic expansion, caudal characteristic curve, heavy traffic In great generality, the basic steadystate distributions in the BMAP / G /1 queue have asymptotically exponential
Asymptotic Decay to Relaxation Shock Fronts in Two Dimensions
"... We prove nonlinear stability of planar shock fronts for certain relaxation system in two spatial dimensions. If the subcharacteristic condition is assumed and the initial perturbation is sufficiently small, the mass carried by perturbations is not necessarily finite, then the solution converges to a ..."
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Cited by 1 (0 self)
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to a shifted planar shock front solution as time t " 1. The asymptotic phase shift of shock fronts is in general nonzero and governed by a similarity solution to heat equation. The asymptotic decay rate to the shock front is proved to be t \Gamma1=4 in L 1 (IR 2 ) without imposing extra
Asymptotic decay for some differential systems with fading memory
"... We study the large time behavior of the solution u to an initial and boundary value problem related to the following integrodifferential equation utt = G0∆u + ∫ t 0 G ′ (t − s)∆u(x, s)ds − aut (0.1) where G0, a are real constant coefficients, G0> 0, a ≥ 0 and G ′ ∈ L1 (R+) ∩ L2 (R+), G ′ ≤ 0. ..."
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Cited by 8 (1 self)
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. It is known that, when G ′ ≡ 0 and a> 0, the solution u of (0.1) exponentially decays. Here we prove that, for any nonnegative a and for any G ′ ̸ ≡ 0, the solution u of the equation (0.1) exponentially decays only if the relaxation kernel G ′ does. In other words, the introduction of the dissipative
Asymptotic Decay Estimates for the Repulsive SchrödingerPoisson System
, 2003
"... In this paper the time decay rates for the solutions to the SchrödingerPoisson system in the repulsive case are improved in the context of semiconductor theory. Upper and lower estimates are obtained by using a norm involving the potential energy and the dispersion equation. ..."
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Cited by 5 (2 self)
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In this paper the time decay rates for the solutions to the SchrödingerPoisson system in the repulsive case are improved in the context of semiconductor theory. Upper and lower estimates are obtained by using a norm involving the potential energy and the dispersion equation.
HOMOGENIZATION LIMIT AND ASYMPTOTIC DECAY FOR ELECTRICAL CONDUCTION IN BIOLOGICAL TISSUES IN THE HIGH
"... Abstract. We derive a macroscopic model of electrical conduction in biological tissues in the high radiofrequency range, which is relevant in applications like electric impedance tomography. This model is derived via a homogenization limit by a microscopic formulation, based on Maxwell’s equations, ..."
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Cited by 1 (0 self)
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, taking into account the periodic geometry of the microstructure. We also study the asymptotic behavior of the solution for large times. Our results imply that periodic boundary data lead to an asymptotically periodic solution. 1.
A HeavyTraffic Expansion For Asymptotic Decay Rates Of Tail Probabilities In MultiChannel Queues
 RES. LETTERS
, 1992
"... We establish a heavytraffic asymptotic expansion (in powers of one minus the traffic intensity) for the asymptotic decay rates of queuelength and workload tail probabilities in stable infinitecapacity multichannel queues. The specific model has multiple independent heterogeneous servers, each wi ..."
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Cited by 11 (7 self)
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We establish a heavytraffic asymptotic expansion (in powers of one minus the traffic intensity) for the asymptotic decay rates of queuelength and workload tail probabilities in stable infinitecapacity multichannel queues. The specific model has multiple independent heterogeneous servers, each
Maximizing the closed loop asymptotic decay rate for the twomassspring control problem
 http://homepages.laas.fr/henrion/Papers/massspring.pdf. April
, 2006
"... We consider the following problem: find a fixedorder linear controller that maximizes the closedloop asymptotic decay rate for the classical twomassspring system. This can be formulated as the problem of minimizing the abscissa (maximum of the real parts of the roots) of a polynomial whose coeff ..."
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Cited by 6 (5 self)
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We consider the following problem: find a fixedorder linear controller that maximizes the closedloop asymptotic decay rate for the classical twomassspring system. This can be formulated as the problem of minimizing the abscissa (maximum of the real parts of the roots) of a polynomial whose
Results 1  10
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113,553