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Вестник Челябинского государственного университета. Математика. Механика. Информатика, 2008, выпуск 10, страницы 75–88
(Mi vchgu97)
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Дифференциальные уравнения
Dynamical system for BCF model describing crystal surface growth
H. Fujimura, A. Yagi Osaka University, Japan
Аннотация:
This paper treats the initial-boundary value problem for a nonlinear parabolic equation of forth order which was presented by Johnson — Orme — Hunt — Graff — Sudijono — Sauder — Orr [1] in order to describe the interesting phenomena of crystal surface growth under molecular beam epitaxy (MBE). First we construct unique local solutions in a suitable function space by applying the techniques of abstract parabolic evolution equations. Second we establish a priori estimates to obtain the global existence of solutions. Our goal is then to construct a dynamical system determined from the initial-boundary value problem of the model equation.
Ключевые слова:
Dynamical system, BCF model, semilinear parabolic equation, a priori estimate.
Образец цитирования:
H. Fujimura, A. Yagi, “Dynamical system for BCF model describing crystal surface growth”, Вестник ЧелГУ, 2008, no. 10, 75–88
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/vchgu97 https://www.mathnet.ru/rus/vchgu/y2008/i10/p75
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Страница аннотации: | 139 | PDF полного текста: | 36 | Список литературы: | 29 |
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