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Note on evolutionary free piston problem for Stokes equations with slip boundary conditions


Muha, Boris; Tutek, Zvonimir
Note on evolutionary free piston problem for Stokes equations with slip boundary conditions // Communications on pure and applied analysis, 13 (2014), 4; 1629-1639 doi:10.3934/cpaa.2014.13.1629 (međunarodna recenzija, članak, znanstveni)


Naslov
Note on evolutionary free piston problem for Stokes equations with slip boundary conditions

Autori
Muha, Boris ; Tutek, Zvonimir

Izvornik
Communications on pure and applied analysis (1534-0392) 13 (2014), 4; 1629-1639

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

Ključne riječi
fluid-rigid body interaction; moving boundary; Navier-Stokes equations; weak solution

Sažetak
In this paper we study a free boundary fluid-rigid body interaction problem, the free piston problem. We consider an evolutionary incompressible viscous fluid flow through a junction of two pipes. Inside the "vertical" pipe there is a heavy piston which can freely slide along the pipe. On the lateral boundary of the "vertical" pipe we prescribe Navier's slip boundary conditions. We prove the existence of a local in time weak solution. Furthermore, we show that the obtained solution is a strong solution.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0693014-2765 - Matematička analiza kompozitnih i tankih struktura (Zvonimir Tutek, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Boris Muha (autor)

Avatar Url Zvonimir Tutek (autor)

Citiraj ovu publikaciju

Muha, Boris; Tutek, Zvonimir
Note on evolutionary free piston problem for Stokes equations with slip boundary conditions // Communications on pure and applied analysis, 13 (2014), 4; 1629-1639 doi:10.3934/cpaa.2014.13.1629 (međunarodna recenzija, članak, znanstveni)
Muha, B. & Tutek, Z. (2014) Note on evolutionary free piston problem for Stokes equations with slip boundary conditions. Communications on pure and applied analysis, 13 (4), 1629-1639 doi:10.3934/cpaa.2014.13.1629.
@article{article, year = {2014}, pages = {1629-1639}, DOI = {10.3934/cpaa.2014.13.1629}, keywords = {fluid-rigid body interaction, moving boundary, Navier-Stokes equations, weak solution}, journal = {Communications on pure and applied analysis}, doi = {10.3934/cpaa.2014.13.1629}, volume = {13}, number = {4}, issn = {1534-0392}, title = {Note on evolutionary free piston problem for Stokes equations with slip boundary conditions}, keyword = {fluid-rigid body interaction, moving boundary, Navier-Stokes equations, weak solution} }

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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