Geodesic
Nonstationary three-dimensional contrasting structures
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 64-66 
A. A. Bykov; A. R. Maikov; V. Yu. Popov. Nonstationary three-dimensional contrasting structures. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 64-66. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_1_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Three-dimensional contrasting structures (CS) occurring in nonlinear diffusion problems with generation are considered assuming that the generation coefficient depends on the concentration. Conditions under which a CS occupying a nonconvex domain in the three-dimensional space disintegrates into several isolated parts in the course of evolution are formulated. This property distinguishes three-dimensional CSs from the two-dimensional ones; the surface of the latter does not change its connectivity until the structure completely disappears.

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