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Weak and strong solutions for the incompressible Navier-Stokes equations with damping. (English) Zbl 1143.35349
Summary: We show that the Cauchy problem of the Navier-Stokes equations with damping α|u| β-1 u(α>0) has global weak solutions for any β1, global strong solution for any β7/2 and that the strong solution is unique for any 7/2β5.
MSC:
35Q30Stokes and Navier-Stokes equations
76D05Navier-Stokes equations (fluid dynamics)
76D03Existence, uniqueness, and regularity theory
References:
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