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

In: Applied Nonlinear Analysis

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  • Mariarosaria Padula

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.

Suggested Citation

  • Mariarosaria Padula, 2002. "On the Decay to Zero of the L2-Norms of Perturbations to a Viscous Compressible Fluid Motion Exterior to a Compact Obstacle," Springer Books, in: Adélia Sequeira & Hugo Beirão da Veiga & Juha Hans Videman (ed.), Applied Nonlinear Analysis, pages 417-426, Springer.
    • Handle: RePEc:spr:sprchp:978-0-306-47096-7_28
    DOI: 10.1007/0-306-47096-9_28
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