[PDF] Top 20 On the physical interpretation of fractional diffusion
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On the physical interpretation of fractional diffusion
... 0, the integrals involved in Eq. (34) diverge. To apply now the space derivative involved in the balance equation (31), it suffices to consider the derivative of ...again the ... Voir le document complet
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Diffusion MRI Anisotropy: Modeling, Analysis and Interpretation
... imaging, diffusion anisotropy is a manifestation of tissues obstructing the otherwise free diffusion of water ...influence the diffusion differently [ Moseley et ... Voir le document complet
29
Physical interpretation of probability density functions of bubble-induced agitation
... for the probability density function (p.d.f.) of the liquid velocity fluctuations generated by high-Reynolds-number rising ...sources of fluctuations: the potential flow disturbance ... Voir le document complet
25
Physical interpretation of probability density functions of bubble-induced agitation
... p.d.f.s of liquid velocity fluctuations induced by bubbles rising at high Reynolds number thus possess three general properties: (i) exponential decay, (ii) partial self-similarity when varying the gas ... Voir le document complet
26
Short time diffusion properties of inhomogeneous kinetic equations with fractional collision kernel
... . The Boltzmann collision kernel B(v − v ∗ , σ) only depends on the relative velocity |v − v ∗ | and on the deviation angle θ through cos θ = hκ, σi where κ = (v − v ∗ )/ |v − v ∗ | and h·, ·i is ... Voir le document complet
38
Multiple-Relaxation-Time Lattice Boltzmann scheme for fractional advection–diffusion equation
... to the sample paths of X(t) [21, ...transform the sample paths of X(t) into the ones of a closely related random walk whose ...in the simple case of homogeneous ... Voir le document complet
24
Impulsive fractional differential inclusions involving the Caputo fractional derivative
... in the previous sections and g : P C(J, R) → R a given ...proved the existence and uniqueness of mild and classical solutions of nonlocal Cauchy ...12], the nonlocal condition can be ... Voir le document complet
24
Periodic Homogenization for Weakly Elliptic Hamilton-Jacobi-Bellman Equations with Critical Fractional Diffusion
... in the symmetric or the non-symmetric ...notation. The well-posedness of problem (17) is standard [6, 8, 29], except for few arguments due to the lack of ...that the ... Voir le document complet
36
The fractional diffusion limit of a kinetic model with biochemical pathway
... denotes the probability density function of bacteria at time t, position x ∈ R d , velocity v ∈ V with V the sphere (or the ball) with radius V 0 , and the intra-cellular molecular ... Voir le document complet
12
Fractional reaction-diffusion problems
... and the function u 0 is assumed to decay more slowly than any exponentially decaying function as x → +∞, in the sense that ∀ε > 0, ∃x ε ∈ R, u 0 (x) ≥ e −εx f or x ∈ [x ε , ∞) ...sets of ... Voir le document complet
98
Physical interpretation of the Mullins softening in a carbon-black filled SBR
... for the sample stored in the freezer. More interestingly, the sample exposed to heat shows complete recovery of the Mullins softening and significant ...on the sample after ... Voir le document complet
16
A singular limit in a fractional reaction-diffusion equation with periodic coefficients
... in the particular case of a homogeneous environment (µ = 1) and a standard diffusion (L α = −∆) which corresponds to the case α = 1 and β = ...for the case introduced by Fisher and ... Voir le document complet
24
The interpretation of the two thomistic definitions of certitude
... (47) Of. : "Ante inquisitionem critic an, non est prae supponenda tan- quam justificata ea certitudo quam homines naturaliter habent de %>titudine suae mentis ad objecta cognoscenda (I); dubi tatio autem ... Voir le document complet
230
The effect of timbre in clarinet interpretation
... Musical interpretation is an intricate concept which is hard to describe from a scientific point of ...on the description and understand- ing of the phenomena linked to expressive music ... Voir le document complet
5
Singularity functions for fractional processes : application to the fractional Brownian sheet
... In the first part of the paper the almost sure convergence of the generalized quadratic variations is obtained under general assumption on the correlation of ... Voir le document complet
24
The last fraction of a fractional conjecture
... use the following terminology [4]. Let H be a subgraph of a connected graph ...P of G is an H-path if both end-vertices of P belong to H but no internal vertex and no edge of P belongs ... Voir le document complet
13
Statistical aspects of the fractional stochastic calculus
... Proof of Theorem 4: strategy and outline. First note that since the probability measures P and ~ P are equivalent (see The- orem 1), almost sure statements under one measure are equivalent to ... Voir le document complet
55
Estimation of the drift of fractional Brownian motion
... [4] James, W., Stein, C., 1961. Estimation with quadratic loss. Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability. 1,361- 379. [5] Kolmogorov, A. N., 1940. Wienersche ... Voir le document complet
13
Avoiding fractional powers on the alphabet N
... E. Rowland, M. Stipulanti, Avoiding 5/4-powers on the alphabet of nonnegative integers, in preparation. N. Sloane et al., The On-Line Encyclopedia of Integer Sequences, http://oeis.org. A. ... Voir le document complet
41
Numerical simulation of the fractional flow reserve (FFR)
... in the case of two identic lesions, with different spacings according to the degree of ...with the fluid–structure interaction model. if the lesion is somehow ...similar. ... Voir le document complet
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