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A variational approach to Navier-Stokes

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arxiv 1802.06606 v2 pith:3SN3ANMY submitted 2018-02-19 math.AP cond-mat.other

A variational approach to Navier-Stokes

Michael Ortiz , Bernd Schmidt , Ulisse Stefanelli This is my paper
classification math.AP cond-mat.other
keywords functionalsnavier-stokesregularizationsystemvariationalwidealongapproach
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We present a variational resolution of the incompressible Navier-Stokes system by means of stabilized Weighted-Inertia-Dissipation-Energy (WIDE) functionals. The minimization of these parameter-dependent functionals corresponds to an elliptic-in-time regularization of the system. By passing to the limit in the regularization parameter along subsequences of WIDE minimizers one recovers a classical Leray-Hopf weak solution.

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