On the Decay to Zero of the L2-Norms of Perturbations to a Viscous Compressible Fluid Motion Exterior to a Compact Obstacle

Mariarosaria Padula

A chapter in Applied Nonlinear Analysis, 2002, pp 417-426 from Springer

Abstract: Abstract We prove that the rest state of a viscous isothermal fluid filling a region exterior to a compact rigid obstacle, is stable with respect a class of sufficiently weak perturbations σ, u to the density and velocity fields (provided they exist globally in time). Under hypothesis of summability for a weighted norm of perturbations at initial time we also prove the decay to zero for L2-norms of perturbations along infinitely many sequences of times.

Keywords: Nonlinear stability; energy methods; Navier-Stokes equations; compressible fluids; exterior domains; qualitative methods (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-306-47096-7_28

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DOI: 10.1007/0-306-47096-9_28

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