Математическое обоснование модели диффузии с обратимым захватом и динамическими граничными условиями
Problemy analiza, no. 3 (1996), pp. 137-171
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Mathematical justification of diffusion model with reversible trapping and dynamical boundary conditions is given. The dynamical boundary conditions are determined taking into account adsorption-desorption processes on surface. Solvability problem of model equations is reduced to consideratoin of some class of functional-differentional equations similar to neutral type systems. The model is a. significant example of semidynamical system in Hilbert spaces.
@article{PA_1996_3_a13,
author = {Yu. V. Zaika},
title = {{\CYRM}{\cyra}{\cyrt}{\cyre}{\cyrm}{\cyra}{\cyrt}{\cyri}{\cyrch}{\cyre}{\cyrs}{\cyrk}{\cyro}{\cyre} {\cyro}{\cyrb}{\cyro}{\cyrs}{\cyrn}{\cyro}{\cyrv}{\cyra}{\cyrn}{\cyri}{\cyre} {\cyrm}{\cyro}{\cyrd}{\cyre}{\cyrl}{\cyri} {\cyrd}{\cyri}{\cyrf}{\cyrf}{\cyru}{\cyrz}{\cyri}{\cyri} {\cyrs} {\cyro}{\cyrb}{\cyrr}{\cyra}{\cyrt}{\cyri}{\cyrm}{\cyrery}{\cyrm} {\cyrz}{\cyra}{\cyrh}{\cyrv}{\cyra}{\cyrt}{\cyro}{\cyrm} {\cyri} {\cyrd}{\cyri}{\cyrn}{\cyra}{\cyrm}{\cyri}{\cyrch}{\cyre}{\cyrs}{\cyrk}{\cyri}{\cyrm}{\cyri} {\cyrg}{\cyrr}{\cyra}{\cyrn}{\cyri}{\cyrch}{\cyrn}{\cyrery}{\cyrm}{\cyri} {\cyru}{\cyrs}{\cyrl}{\cyro}{\cyrv}{\cyri}{\cyrya}{\cyrm}{\cyri}},
journal = {Problemy analiza},
pages = {137--171},
year = {1996},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PA_1996_3_a13/}
}
Yu. V. Zaika. Математическое обоснование модели диффузии с обратимым захватом и динамическими граничными условиями. Problemy analiza, no. 3 (1996), pp. 137-171. http://geodesic.mathdoc.fr/item/PA_1996_3_a13/