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arXiv · 1802.06606

A variational approach to Navier-Stokes

Michael Ortiz·Bernd Schmidt·Ulisse Stefanelli
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Abstract

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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Michael Ortiz, Bernd Schmidt, Ulisse Stefanelli. 2018-02-19. A variational approach to Navier-Stokes. https://doi.org/10.1088/1361-6544/aae722

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