Pregled bibliografske jedinice broj: 597609
Note on evolutionary free piston problem for Stokes equations with slip boundary conditions
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)
CROSBI ID: 597609 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
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
Projekti:
037-0693014-2765 - Matematička analiza kompozitnih i tankih struktura (Tutek, Zvonimir, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Citiraj ovu publikaciju:
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
