Dynamics of Partial Differential Equations

Volume 5 (2008)

Number 4

Asymptotic analysis of three dimensional Navier-Stokes equations for compressible nonlinearly viscous fluids

Pages: 29 – 311

DOI: http://dx.doi.org/10.4310/DPDE.2008.v5.n4.a1


Rostislav Vodák (Department of Mathematical Analysis and Applications of Mathematics, Palacky University, Olomouc-Hejčín, Czech Republic)


In this paper, an asymptotic two dimensional model for compressible nonlinearly viscous fluids is rigorously derived as a limit of corresponding three dimensional models using asymptotic analysis with respect to the thickness of the respective three dimensional domains.


Navier-Stokes equations, Asymptotic analysis, viscous fluids

2010 Mathematics Subject Classification

35-xx, 76-xx

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