Results 181 to 190 of about 36,953 (196)
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Nonlocal Turbulent Diffusion Models
Journal of Mathematical Sciences, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonlocality of relative diffusion
Journal of Experimental and Theoretical Physics, 1997On the basis of numerical modeling, the hypothesis of the nonlocal character of Richardson relative diffusion is tested and confirmed.
O. V. Tel’kovskaya, K. V. Chukbar
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Nonlocal electrical diffusion equation
International Journal of Modern Physics C, 2016In this paper, we present an analysis and modeling of the electrical diffusion equation using the fractional calculus approach. This alternative representation for the current density is expressed in terms of the Caputo derivatives, the order for the space domain is [Formula: see text] and for the time domain is [Formula: see text].
J. F. Gómez-Aguilar +4 more
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Nonlocal reaction—diffusion equations and nucleation
IMA Journal of Applied Mathematics, 1992Summary: A nonlocal reaction-diffusion equation is presented and analysed using matched asymptotic expansions and multiple timescales. The problem models a binary mixture undergoing phase separation. The particular form of the equation is motivated by arguments from the calculus of variations, with the nonlocality arising from an enforcement of ...
Rubinstein, Jacob, Sternberg, Peter
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Nonlocal Reaction–Diffusion Equations in Biomedical Applications
Acta Biotheoretica, 2022Nonlocal reaction-diffusion equations describe various biological and biomedical applications. Their mathematical properties are essentially different in comparison with the local equations, and this difference can lead to important biological implications.
Banerjee, M. +3 more
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Nonlocal Diffusion in Fractured Rocks
SPE Reservoir Evaluation & Engineering, 2016Summary Space–time fractional diffusion in a linear, bounded region is considered. An analytical expression for the pressure distribution in the bounded region is derived in terms of the Mittag-Leffler function and the Laplace transformation. Comparisons with numerical solutions indicate excellent agreement.
R.. Raghavan, C.. Chen, J. J. DaCunha
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Nonlocal Reaction-diffusion Equations
2014We introduced nonlocal reaction-diffusion equations in Section 2.4 of Chapter 1 by means of the model of competition of species. It is also possible to view them in a different way. If individuals of some population consume resources in some area around their average position, then we need to take into account this nonlocal consumption of resources in ...
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Nonlinear Nonlocal Reaction-Diffusion Equations
2014Let \(\varOmega \subset \mathbb{R}^{N}\), and J be a nonnegative function defined in Ω ×Ω. We consider the problem $$\displaystyle\begin{array}{rcl} \left \{\begin{array}{ll} u_{t}(x,t)& =\int _{\varOmega }J(x,y)u(y,t)\mathit{dy} - h(x)u(x,t) + f(x,u(x,t)),\,x \in \varOmega,\;t > 0 \\ u(x,0) & = u_{0}(x),\quad x \in \varOmega,\end{array} \right.& &{
Aníbal Rodríguez-Bernal +1 more
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Nonlocal diffusivity: Impact on transient transport studies
Physics of Plasmas, 1995Nonlocal effects are observed in a number of transient transport studies in tokamaks and stellarators. In this paper some consequences of nonlocality are discussed on the basis of a heuristic model for the electron heat diffusivity (χe). The main consequence is the presence of an additional (‘‘missing’’) heating power term (p̃χ) in the heat transport ...
A Jacchia +4 more
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Nonlocal nonlinear advection-diffusion equations
Chinese Annals of Mathematics, Series B, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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