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Derivation of Reynolds equation for gas lubrication via asymptotic analysis of the compressible Navier–Stokes system


Marušić-Paloka, Eduard; Starčević, Maja
Derivation of Reynolds equation for gas lubrication via asymptotic analysis of the compressible Navier–Stokes system // Nonlinear Analysis: Real World Applications, 11 (2010), 6; 4565-4571 doi:10.1016/j.nonrwa.2008.11.022 (međunarodna recenzija, članak, znanstveni)


Naslov
Derivation of Reynolds equation for gas lubrication via asymptotic analysis of the compressible Navier–Stokes system

Autori
Marušić-Paloka, Eduard ; Starčević, Maja

Izvornik
Nonlinear Analysis: Real World Applications (1468-1218) 11 (2010), 6; 4565-4571

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

Ključne riječi
Compressible viscous flow ; compressible Stokes equations ; lubrication ; asymptotic analysis ; magnetic hard disc

Sažetak
In this paper we perform asymptotic analysis of the compressible viscous isothermal flow in a periodic domain. We start our analysis by studying the compressible Stokes system in a thin domain of thickness εmuch less-than1. As ε tends to zero we obtain the effective behavior of the flow, i.e. the Reynolds model, known from engineering literature, that describes the flow of a gas lubricant. Uniqueness of the solution to Reynolds equations is discussed as well.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0372787-2797 - Asimptotičke metode u mehanici kontinuuma (Eduard Marušić-Paloka, )
135-0372787-2819 - Matematički modeli u mehanici fluida (Božidar Ivanković, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Fakultet prometnih znanosti, Zagreb

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


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet


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