4.3 Article

Incompressible 3D Navier-Stokes Equations as a Limit of a Nonlinear Parabolic System

Journal

JOURNAL OF MATHEMATICAL FLUID MECHANICS
Volume 14, Issue 2, Pages 383-405

Publisher

BIRKHAUSER VERLAG AG
DOI: 10.1007/s00021-011-0074-x

Keywords

Navier-Stokes equations; Mild solutions; Weak solutions; Parabolic systems

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In this paper, we consider the Cauchy problem for a nonlinear parabolic system in with initial data in Lebesgue spaces or . We analyze the convergence of its solutions to a solution of the incompressible Navier-Stokes system as .

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