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MiS Preprint
51/2013

Dimension reduction for compressible viscous fluids

Peter Bella, Eduard Feireisl and Antonín Novotný

Abstract

We consider the barotropic Navier-Stokes system describing the motion of a compressible viscous fluid confined to a cavity shaped as a thin rod $\Omega_\epsilon = \epsilon Q \times (0,1)$, $Q \subset \mathbb{R}^2$. We show that the weak solutions in the 3D domain converge to (strong) solutions of the limit 1D Navier-Stokes system as $\epsilon \to 0$.

Received:
May 17, 2013
Published:
May 23, 2013
Keywords:
Compressible Navier-Stokes system, dimension reduction, thin rod

Related publications

inJournal
2014 Repository Open Access
Peter Bella, Eduard Feireisl and Antonín Novotný

Dimension reduction for compressible viscous fluids

In: Acta applicandae mathematicae, 134 (2014) 1, pp. 111-121