Abstract
We prove in this chapter the global existence and uniqueness of smooth solutions to the two dimensional inhomogeneous incompressible Navier-Stokes equations with the viscous coefficient depending on the density of the fluid. Furthermore, the \(L^2\) decay rate of the velocity field is obtained.
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Gui, G. (2013). Global Smooth Solutions to the 2-D Inhomogeneous Navier–Stokes Equations with Variable Viscosity. In: Stability to the Incompressible Navier-Stokes Equations. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36028-2_3
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DOI: https://doi.org/10.1007/978-3-642-36028-2_3
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Print ISBN: 978-3-642-36027-5
Online ISBN: 978-3-642-36028-2
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