Publication:
Stability of an aneurysm in a membrane tube filled with an ideal fluid

Дата
2022
Авторы
Il'ichev, A. T.
Shargatov, V. A.
Journal Title
Journal ISSN
Volume Title
Издатель
Научные группы
Организационные подразделения
OrgUnit Logo
Организационная единица
Институт лазерных и плазменных технологий
Стратегическая цель Института ЛаПлаз – стать ведущей научной школой и ядром развития инноваций по лазерным, плазменным, радиационным и ускорительным технологиям, с уникальными образовательными программами, востребованными на российском и мировом рынке образовательных услуг.
Выпуск журнала
Аннотация
© 2022, Pleiades Publishing, Ltd.Abstract: The stability of standing localized structures formed in an axisymmetric membrane tube filled with fluid is studied. It is assumed that the tube wall is heterogeneous and is subjected to localized thinning. Because the problem has no translational invariance in the case of an inhomogeneous wall the stability of a standing localized structure located in the center of the inhomogeneity of the tube wall is understood as the usual, and not the orbital stability up to a shift. The spectral stability of localized elevation waves is considered in the context of aneurysm formation on human vessels. The fluid flowing inside the tube is assumed to be ideal and incompressible and its longitudinal velocity profile is assumed constant along the vertical section of the tube. Spectral stability is established by the proof of the absence of eigenvalues with a positive real part corresponding to exponentially time-increasing perturbations that are solutions of the linearized equations of the problem. The stability analysis is carried out by constructing the Evans function, which depends only on the spectral parameter and is analytic in the right complex half-plane Ω+. The zeros of the Evans function in Ω+ coincide with the unstable eigenvalues of the problem. The absence of zeros in Ω+ is proved by applying the argument principle from complex analysis.
Описание
Ключевые слова
Цитирование
Il'ichev, A. T. Stability of an aneurysm in a membrane tube filled with an ideal fluid / Il'ichev, A.T., Shargatov, V.A. // Theoretical and Mathematical Physics(Russian Federation). - 2022. - 211. - № 2. - P. 642-652. - 10.1134/S0040577922050051
URI
https://www.doi.org/10.1134/S0040577922050051
 https://www.scopus.com/record/display.uri?eid=2-s2.0-85130701638&origin=resultslist
 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000801228400005
 https://openrepository.mephi.ru/handle/123456789/27940
Коллекции
Публикации