Nonstationary three-dimensional contrasting structures
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 64-66
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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.
@article{ZVMMF_2007_47_1_a6,
author = {A. A. Bykov and A. R. Maikov and V. Yu. Popov},
title = {Nonstationary three-dimensional contrasting structures},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {64--66},
publisher = {mathdoc},
volume = {47},
number = {1},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_1_a6/}
}
TY - JOUR AU - A. A. Bykov AU - A. R. Maikov AU - V. Yu. Popov TI - Nonstationary three-dimensional contrasting structures JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2007 SP - 64 EP - 66 VL - 47 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_1_a6/ LA - ru ID - ZVMMF_2007_47_1_a6 ER -
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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/