Results 231 to 240 of about 1,065,619 (287)

Impedance-Controlled Molecular Transport Across Multilayer Skin Membranes. [PDF]

open access: yesMembranes (Basel)
Galovic S, Radenkovic MC, Suljovrujic E.
europepmc   +1 more source

Equations with Singular Diffusivity

Journal of Statistical Physics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kobayashi, R., Giga, Y.
openaire   +3 more sources

Diffusive instabilities in hyperbolic reaction-diffusion equations

Physical Review E, 2016
We investigate two-variable reaction-diffusion systems of the hyperbolic type. A linear stability analysis is performed, and the conditions for diffusion-driven instabilities are derived. Two basic types of eigenvalues, real and complex, are described. Dispersion curves for both types of eigenvalues are plotted and their behavior is analyzed.
Evgeny P, Zemskov, Werner, Horsthemke
openaire   +2 more sources

Generalized diffusion equation for anisotropic anomalous diffusion

Physical Review E, 2006
Motivated by studies of comblike structures, we present a generalization of the classical diffusion equation to model anisotropic, anomalous diffusion. We assume that the diffusive flux is given by a diffusion tensor acting on the gradient of the probability density, where each component of the diffusion tensor can have its own scaling law.
Sellers, S., Barker, J.A.
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Stochastic Nonlinear Diffusion Equations with Singular Diffusivity

SIAM Journal on Mathematical Analysis, 2009
This paper is concerned with the stochastic diffusion equation \(dX(t)=\text{div}[\text{sgn}(\nabla(X(t)))]dt+\sqrt{Q}dW(t)\) in \((0,\infty) \times \mathcal{O}\), where \(\mathcal{O}\) is a bounded open subset of \(\mathbb{R}^d, d=1,2, W(t)\) is a cylindrical Wiener process on \(L^2(\mathcal{O})\), and \(\text{sgn}(\nabla X)=\nabla X/|\nabla X|_d\) if
Barbu, Viorel   +2 more
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Diffusion equation

Abstract Diffusion is ubiquitous in Earth and planetary sciences and occurs over a wide range of spatial and temporal scales. In this chapter, the diffusion equation is discretized according to three methods: explicitly, implicitly, and with the Crank–Nicolson method.
openaire   +1 more source

Hyperbolic diffusion equation

AIP Conference Proceedings, 2012
The introduction of the relaxation time into classical constitutive relations yields the hyperbolic modification of the reaction-diffusion-convection equation. Conditions under which all global solutions are uniformly globally oscillatory are shown.
openaire   +1 more source

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