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## On a free piston problem for Stokes and Navier- Stokes equations

Muha, Boris; Tutek, Zvonimir
On a free piston problem for Stokes and Navier- Stokes equations // Glasnik Matematicki, 47 (2012), 2; 381-400 doi:10.3336/gm.47.2.12 (međunarodna recenzija, članak, znanstveni)

Naslov
On a free piston problem for Stokes and Navier- Stokes equations

Autori
Muha, Boris ; Tutek, Zvonimir

Izvornik
Glasnik Matematicki (0017-095X) 47 (2012), 2; 381-400

Ključne riječi
Navier-Stokes equations; free piston problem; fluid-rigid body interaction

Sažetak
Our goal is to model and analyze a stationary fluid flow through the junction of two pipes in the gravity field. Inside 'vertical' pipe there is a heavy piston which can freely move along the pipe. We are interested in the equilibrium position of the piston in dependence on geometry of junction. Fluid is modeled with the Navier- Stokes equations and the piston is modeled as a rigid body. We formulate corresponding boundary value problem and prove an existence result. The problem is nonlinear even in case of the Stokes equations for fluid flow ; we prove non-uniqueness of solutions and illustrate it with some numerical examples. Furthermore, derivation and analysis of the linearized problem are presented.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Zvonimir Tutek, (50933)
Boris Muha, (267374)

#### Citiraj ovu publikaciju

Muha, Boris; Tutek, Zvonimir
On a free piston problem for Stokes and Navier- Stokes equations // Glasnik Matematicki, 47 (2012), 2; 381-400 doi:10.3336/gm.47.2.12 (međunarodna recenzija, članak, znanstveni)
Muha, B. & Tutek, Z. (2012) On a free piston problem for Stokes and Navier- Stokes equations. Glasnik Matematicki, 47 (2), 381-400 doi:10.3336/gm.47.2.12.
@article{article, year = {2012}, pages = {381-400}, DOI = {10.3336/gm.47.2.12}, keywords = {Navier-Stokes equations, free piston problem, fluid-rigid body interaction}, journal = {Glasnik Matematicki}, doi = {10.3336/gm.47.2.12}, volume = {47}, number = {2}, issn = {0017-095X}, title = {On a free piston problem for Stokes and Navier- Stokes equations}, keyword = {Navier-Stokes equations, free piston problem, fluid-rigid body interaction} }

#### Časopis indeksira:

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