Results 171 to 180 of about 3,078 (202)

Macroscale Nonlocal Dispersion

1997
In the previous chapter, we employed hybrid mixture theory to “upscale” classical continuum equations to various higher scales. To do so we required a discrete scale separation between the “pore scale” and one or more higher scales. In this chapter we make no such assumptions on scale separation.
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A dispersion series for nonlocal potentials

Journal of Mathematical Physics, 1975
For a class of short−range nonlocal potentials, and for the energy variable E in a certain part of the complex plane, we obtain a generalized subtracted dispersion relation which relates the forward scattering amplitude to contributions from negative energy pole terms, a usual dispersion integral along the positive real axis of the complex energy plane,
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NMR Measurement of Nonlocal Dispersion in Complex Flows

Physical Review Letters, 2007
The flow and diffusion driven separation of initially adjacent liquid molecules is known as dispersion. The primary physical quantity describing this process, the nonlocal dispersion tensor, provides insight regarding both the spatial and temporal correlations of molecular velocity fluctuations in complex flows.
M W, Hunter, P T, Callaghan
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Positive eigenfunctions for nonlocal dispersal problems

Applied Mathematics Letters, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Relative Dispersion: Local and Nonlocal Dynamics

Journal of the Atmospheric Sciences, 1984
Abstract Observations of relative dispersion statistics for stratospheric balloons, including velocity structure functions, relative diffusivities and separation kurtoses, are shown to be consistent with nonlocal dynamics rather than local, self-similar dynamics.
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Lower bounds for some nonlocal dispersal equations

Journal of Mathematical Analysis and Applications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonclassical Nature of Nonlocal Dispersion Cancellation

Conference on Lasers and Electro-Optics 2010, 2010
Shapiro recently suggested that nonlocal dispersion cancellation is essentially classical in nature. It is shown that his classical model gives identical dispersion in two beams of light and is not analogous to nonlocal dispersion cancellation.
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Dispersive Shock Waves in Nonlocal Nonlinear Media

Bragg Gratings, Photosensitivity, and Poling in Glass Waveguides, 2007
We present numerical and initial experimental results of dispersive optical shock waves in nonlocal nonlinear media. The behavior of shocks and shock collisions is characterized as a function of the extent of the nonlocality.
Christopher Barsi, Can Sun, Wenjie Wan, Jason W. Fleischer   +3 more
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Nonlocal dispersion in porous media: Nonmechanical effects

Chemical Engineering Science, 1987
Abstract Nonmechanical dispersion mechanisms at high Peclet number in porous media give rise to persistent transients that cannot be predicted by a local Fickian macrotransport equation. Instead, a nonlocal macrotransport equation is derived, which relates the average mass flux to a convolution integral in space and time between the average ...
Donald L. Koch, John F. Brady
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Extremal solutions for nonlocal dispersal equations

Analysis and Applications
This paper is devoted to the study of the extremal (global maximal or minimal) solutions for some nonlocal dispersal equations. We investigate sufficient conditions for the existence of extremal solutions. In addition, we establish the uniqueness of positive solution and obtain various uniqueness results when the nonlinearity satisfies specific ...
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