Global Existence of Cylinder Symmetric Solutions for the Nonlinear Compressible Navier-Stokes Equations

We prove the global existence of cylinder symmetric solutions to the compressible Navier-Stokes equations with external forces and heat source in R3 for any large initial data. Some new ideas and more delicate estimates are used to prove this result.

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Bibliographic Details
Published in:Journal of Applied Mathematics 2011-01, Vol.2011 (1), p.470-487-029
Main Authors: Huang, Lan, Zhai, Fengxiao, Zhang, Beibei
Format: Article
Language:English
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Description
Summary:We prove the global existence of cylinder symmetric solutions to the compressible Navier-Stokes equations with external forces and heat source in R3 for any large initial data. Some new ideas and more delicate estimates are used to prove this result.
ISSN:1110-757X
1687-0042
DOI:10.1155/2011/264795