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Existence and uniqueness of solution for fluid-plate interaction problem


Ćurković, Andrijana; Marušić-Paloka, Eduard
Existence and uniqueness of solution for fluid-plate interaction problem // Applicable analysis, 95 (2016), 4; 715-730 doi:10.1080/00036811.2015.1027695 (međunarodna recenzija, članak, znanstveni)


Naslov
Existence and uniqueness of solution for fluid-plate interaction problem

Autori
Ćurković, Andrijana ; Marušić-Paloka, Eduard

Izvornik
Applicable analysis (0003-6811) 95 (2016), 4; 715-730

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Fluid-structure interaction ; existence and uniqueness of the solution ; viscous fluid ; elastic plate

Sažetak
In this paper, we study the interaction of an incompressible viscous fluid occupying two-dimensional channel with an elastic plate located on one part of fluid boundary. We assume that the deformation of the boundary is small enough and consider the fluid flow equations in the initial configuration. Non-steady Stokes equations are used to model the flow, and the pressure boundary conditions are prescribed on the channel’s ends. The results on existence, uniqueness, and regularity of solution are proved.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-3955 - Matematičko modeliranje i numeričke simulacije procesa u tankim i poroznim sredinama (Eduard Marušić-Paloka, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Split

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


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