Published December 2018
| Submitted
Journal Article
Open
A variational approach to Navier-Stokes
Chicago
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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.
Additional Information
© 2018 IOP Publishing Ltd & London Mathematical Society. Received 19 February 2018; Accepted 10 October 2018; Published 15 November 2018. U.S. is partly funded by the Vienna Science and Technology Fund (WWTF) through Project MA14-009 and by the Austrian Science Fund (FWF) projects F 65, P 27052, and I 2375.Attached Files
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Additional details
- Eprint ID
- 85051
- Resolver ID
- CaltechAUTHORS:20180302-070321462
- Vienna Science and Technology Fund (WWTF)
- MA14-009
- FWF Der Wissenschaftsfonds
- F 65
- FWF Der Wissenschaftsfonds
- P 27052
- FWF Der Wissenschaftsfonds
- I 2375
- Created
-
2018-03-02Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
- Caltech groups
- GALCIT