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Robustness of strong solutions to the compressible Navier-Stokes system

We consider the Navier-Stokes system describing the time evolution of a compressible barotropic fluid confined to a bounded spatial domain in the 3-D physical space, supplemented with the Navier's slip boundary conditions. It is shown that the class of global in time strong solutions is robust with respect to small perturbations of the initial data. Explicit qualitative estimates are given also in terms of the shape of the underlying physical domain, with applications to problems posed on thin cylinders.

preprint2014arXivOpen access
Peter BellaEduard FeireislBum Ja JinAntonin Novotny
math.AP
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Open access4 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Peter BellaEduard FeireislBum Ja JinAntonin Novotny

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