Pressure, Intermittency, Singularity
Peter Constantin
TL;DR
This paper establishes conditions involving pressure and structure functions that ensure the regularity of solutions to the three-dimensional incompressible Navier-Stokes equations.
Contribution
It introduces new criteria based on pressure and structure functions for the regularity of Navier-Stokes solutions, advancing understanding of fluid dynamics.
Findings
Identified pressure-based regularity conditions
Linked structure functions to solution smoothness
Provided theoretical criteria for solution regularity
Abstract
We give conditions for regularity of solutions of three dimensional incompressible Navier-Stokes equations based on the pressure and on structure functions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNavier-Stokes equation solutions · Stability and Controllability of Differential Equations · Gas Dynamics and Kinetic Theory