Geodesic
Absence of Diffusion Through the Fractal Boundary of Two Media
Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 2, pp. 309-320

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We consider ideal gas diffusion through a fractal boundary between two homogeneous media. This boundary is modeled by a spatially self-similar system of folds of the interface surface between the media. This surface can have a finite volume, which is then identified with the physical volume of the boundary layer. We show that the effective diffusion coefficient of ideal molecules vanishes in this layer. 
@article{TMF_2001_128_2_a10,
     author = {G. B. Andreev and V. V. Maksimenko},
     title = {Absence of {Diffusion} {Through} the {Fractal} {Boundary} of {Two} {Media}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {309--320},
     publisher = {mathdoc},
     volume = {128},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_128_2_a10/}
}
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G. B. Andreev; V. V. Maksimenko. Absence of Diffusion Through the Fractal Boundary of Two Media. Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 2, pp. 309-320. http://geodesic.mathdoc.fr/item/TMF_2001_128_2_a10/