Diffusion of Zinc in Doped NaCl Crystals
Viera Paulíny-Tothová (1966)
Matematicko-fyzikálny časopis
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Viera Paulíny-Tothová (1966)
Matematicko-fyzikálny časopis
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Kůs, Pavel, Dolejší, Vít
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Hrabě, Jan
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An improved version of the Integrative Optical Imaging (IOI) method for diffusion measurements in a geometrically complex environment of the brain extracellular space has been developed. We present a theory for this Fast Optical Tracking Of Diffusion (FOTOD) which incorporates a time-dependent effective diffusion coefficient in homogeneous anisotropic media with time-dependent nonspecific linear clearance. FOTOD can be used to measure rapid changes in extracellular diffusion permeability...
Xavier Cabré, Joana Terra (2009)
Journal of the European Mathematical Society
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Thierry Goudon, Antoine Mellet (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We investigate the diffusion limit for general conservative Boltzmann equations with oscillating coefficients. Oscillations have a frequency of the same order as the inverse of the mean free path, and the coefficients may depend on both slow and fast variables. Passing to the limit, we are led to an effective drift-diffusion equation. We also describe the diffusive behaviour when the equilibrium function has a non-vanishing flux.