Pregled bibliografske jedinice broj: 1152749
A Review on Rigorous Derivation of Reduced Models for Fluid–Structure Interaction Systems
A Review on Rigorous Derivation of Reduced Models for Fluid–Structure Interaction Systems // Waves in Flows / Bodnár, Tomáš ; Galdi, Giovanni P. ; Nečasová, Šárka (ur.).
Cham: Springer, 2020. str. 203-237 doi:10.1007/978-3-030-68144-9_8
CROSBI ID: 1152749 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A Review on Rigorous Derivation of Reduced Models
for Fluid–Structure Interaction Systems
Autori
Bukal, Mario ; Muha, Boris
Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, pregledni
Knjiga
Waves in Flows
Urednik/ci
Bodnár, Tomáš ; Galdi, Giovanni P. ; Nečasová, Šárka
Izdavač
Springer
Grad
Cham
Godina
2020
Raspon stranica
203-237
ISBN
978-3-030-68143-2
ISSN
2297-0320
Ključne riječi
thin viscous fluids ; fluid - structure interaction problems ; reduced models ; sixth-order thin-film equations ; error estimates
Sažetak
In this paper we review and systematize the mathematical theory on justification of sixth- order thin-film equations as reduced models for various fluid–structure interaction systems in which fluids are lubricating underneath elastic structures. Justification is based on careful examination of energy estimates, weak convergence results of solutions of the original fluid– structure interaction systems to the solution of the sixth-order thin-film equation, and quantitative error estimates that provide even strong convergence results.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-3706 - Analiza problema interakcije fluida i strukture i primjene (FSIApp) (Muha, Boris, HRZZ - 2018-01) ( CroRIS)
HRZZ-UIP-2017-05-7249 - Matematička analiza i numeričke metode za višefazne sustave vođene difuzijom (MANDphy) (Bukal, Mario, HRZZ ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
