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71.
72.
Jean-Philippe Bartier Adrien Blanchet Jean Dolbeault Miguel Escobedo 《Applied Mathematics Letters》2011,24(1):76-81
This letter is devoted to results on intermediate asymptotics for the heat equation. We study the convergence towards a stationary solution in self-similar variables. By assuming the equality of some moments of the initial data and of the stationary solution, we get improved convergence rates using entropy/entropy-production methods. We establish the equivalence of the exponential decay of the entropies with new, improved functional inequalities in restricted classes of functions. This letter is the counterpart in a linear framework of a recent work on fast diffusion equations; see Bonforte et al. (2009) [18]. The results extend to the case of a Fokker–Planck equation with a general confining potential. 相似文献
73.
This article is devoted to various methods (optimal transport, fixed-point, ordinary differential equations) to obtain existence and/or uniqueness of Cournot–Nash equilibria for games with a continuum of players with both attractive and repulsive effects. We mainly address separable situations but for which the game does not have a potential, contrary to the variational framework of Blanchet and Carlier (Optimal transport and Cournot–Nash equilibria, 2012). We also present several numerical simulations which illustrate the applicability of our approach to compute Cournot–Nash equilibria. 相似文献
74.
75.
M. Vallet J.-M. Gagneux V. Blanchet B. Favre G. Labiale 《Journal of sound and vibration》1983,90(2):173-191
This contribution to the evaluation of the effects of traffic noise on sleep disturbance is focused on the responses of people living near a main road. Experiments were carried out in the homes of subjects who had habitually been exposed to noise for periods of more than four years. The chronic changes in overall sleep patterns and the temporary sleep responses to particular noise events caused by traffic are demonstrated. Young people show mainly stage 3 and 4 deficits whilst older people show REM sleep deficits. The cardiac response to noise during sleep was also examined. These results highlight that both long term average and peak levels are important in assessing sleep disturbance. The threshold levels, measured inside the bedroom and above which sleep quality starts to become impaired, are 37 Leq(A) and 45 dB (A)Lp max, respectively. For the type of traffic studied these two levels are coherent and it is therefore possible that a single noise index, Leq(A), is sufficient to scale sleep disturbance. 相似文献
76.
We show experimentally that parametric optical preamplification greatly improves the signal-to-noise ratio of an image if the detector has a poor quantum efficiency and/or a great level of readout noise. Results are fully consistent with the theory of quantum-noise-limited amplification. 相似文献
77.
Electron energy loss measurements of the vibrational modes of oxygen on W(110) as a function of coverage up to 0.5 monolayer are presented and analyzed. A single loss at 67 meV is observed initially; with increasing exposure this loss shifts to 72 meV and another loss appears at 47 meV. These data indicate coexistence of two species on the surface with a coverage-dependent conversion. Angular profiles of the specular elastic beam show a dramatic increase in width with initial oxygen coverage; this is possibly due to an oxygen-induced static disordering of the W surface layer. 相似文献
78.
Various reactions of the readily available adducts of bromotrichloromethane with maleic anhydride and dimethyl maleate and fumarate leading to halogenated derivatives of succinic, maleic, fumaric or malic acids and/or esters are described. 相似文献
79.
Luc Blanchet 《Pramana》2004,63(4):685-701
The equations of motion of two point masses in harmonic coordinates are derived through the third post-Newtonian (3PN) approximation.
The problem of selffield regularization (necessary for removing the divergent self-field of point particles) is dealt with
in two separate steps. In the first step the extended Hadamard regularization is applied, resulting in equations of motion
which are complete at the 3PN order, except for the occurrence of one and only one unknown parameter. In the second step the
dimensional regularization (ind dimensions) is used as a powerful argument for fixing the value of this parameter, thereby completing the 3-dimensional Hadamard-regularization
result. The complete equations of motion and associated energy at the 3PN order are given in the case of circular orbits. 相似文献
80.