|
Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
MATHEMATICS
Asymptotic analysis of thin viscous plate model
I. F. Melikhov, I. Yu. Popov ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia
Аннотация:
A cell membrane is a very complex medium, which is difficult to study. One of the simplest approaches is to assume it purely elastic or purely viscous. In this paper, we follow the second assumption and derive mathematical model of nearly-planar viscous plate evolving under action of applied forces. The obtained model is non-linear and covers both stretching and bending of the membrane. In contrast to analogous works on viscous sheets, we use a unique scale for velocity components and take a few first terms in asymptotic expansion. The developed approach can be used for description of the cell membrane with nanoparticles inserted.
Ключевые слова:
viscous plate, asymptotics.
Поступила в редакцию: 15.06.2018 Исправленный вариант: 05.07.2018
Образец цитирования:
I. F. Melikhov, I. Yu. Popov, “Asymptotic analysis of thin viscous plate model”, Наносистемы: физика, химия, математика, 9:4 (2018), 447–456
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nano328 https://www.mathnet.ru/rus/nano/v9/i4/p447
|
Статистика просмотров: |
Страница аннотации: | 84 | PDF полного текста: | 18 |
|