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- W3101975596 abstract "Cannone cite{Cannone} proved the global well-posedness of the incompressible Navier-Stokes equations for a class of highly oscillating data. In this paper, we prove the global well-posedness for the compressible Navier-Stokes equations in the critical functional framework with the initial data close to a stable equilibrium. Especially, this result allows us to construct global solutions for the highly oscillating initial velocity. The proof relies on a new estimate for the hyperbolic/parabolic system with convection terms." @default.
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- W3101975596 date "2010-01-01" @default.
- W3101975596 modified "2023-10-15" @default.
- W3101975596 title "Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity" @default.
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- W3101975596 doi "https://doi.org/10.1002/cpa.20325" @default.
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