МАТЕМАТИЧЕСКОЕ ОБОСНОВАНИЕ МОДЕЛИ ДИФФУЗИИ С ОБРАТИМЫМ ЗАХВАТОМ И ДИНАМИЧЕСКИМИ ГРАНИЧНЫМИ УСЛОВИЯМИ
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...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2014-08-01
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| Series: | Проблемы анализа |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=1911 |
| Summary: | 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. |
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| ISSN: | 2306-3424 2306-3432 |