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It may be noted that if X and X∗are diffusible (assumed to have the same diffusivity), then it is found that X + X∗ satisfies a homogeneous diffusion equation, and since X + X∗ = X tot holds good initially everywhere, this continues to hold good for all time.
Compression of cartoon-like images with homogeneous diffusion has been analyzed by Mainberger et al. [39].
Let us briefly recall the mechanisms of inpainting with homogeneous diffusion (IHD).
For this aim, a homogeneous diffusion solid model (HDSM) was used, which does take the adsorbent shape into account.
Based on continuum mechanics and thermodynamics, we develop the theory of the fast homogeneous diffusion of hydrogel.
In this study, we initiate the theoretical kinetic study of the fast homogeneous diffusion of hydrogel under different stimuli.
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It is important to notice that the same method is completely erroneous when applied to non-homogeneous diffusion coefficients.
At the same time the values are calculated which characterize the deviation of the concentration distribution in a porous medium from the gaussian one obtained as a solution of the quasi-homogeneous diffusion equation.
The present work develops the film-homogeneous diffusion model for multicomponent batch adsorption and applies to it two binary mixtures of basic dyes, namely (Basic Red 22 + Basic Yellow 21) and (Basic Red 22 + Basic Blue 69), onto activated carbon F400.
By assuming a non-homogeneous diffusion, we could generate non-symmetrical structures.
Process dynamics were described successfully using a homogeneous surface diffusion model with external mass transfer and a surface diffusion coefficient that increases with surface coverage.
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