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Compressible Navier–Stokes system in 1‐D
Author(s) -
Mucha Piotr Bogusław
Publication year - 2001
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.232
Subject(s) - barotropic fluid , mathematics , compressibility , boundary (topology) , mathematical analysis , neumann boundary condition , navier–stokes equations , mechanics , physics
The compressible barotropic Navier–Stokes system in monodimensional case with a Neumann boundary condition given on a free boundary is considered. The global existence with uniformly boundedness for large initial data and a positive force is proved. The result concerning an asymptotic behavior shows that the solutions tends to the stationary solution. Copyright © 2001 John Wiley & Sons, Ltd.
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