A variational approach to Navier-Stokes
Analysis of PDEs
2018-12-05 v2 Other Condensed Matter
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.
Cite
@article{arxiv.1802.06606,
title = {A variational approach to Navier-Stokes},
author = {Michael Ortiz and Bernd Schmidt and Ulisse Stefanelli},
journal= {arXiv preprint arXiv:1802.06606},
year = {2018}
}