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The role of the pressure in the partial regularity theory for weak solutions of the Navier--Stokes equations
- Publication Year :
- 2016
-
Abstract
- We study the role of the pressure in the partial regularity theory for weak solutions of the Navier--Stokes equations. By introducing the notion of dissipative solutions, due to Duchon \& Robert, we will provide a generalization of the Caffarelli, Kohn and Nirenberg theory. Our approach gives a new enlightenment of the role of the pressure in this theory in connection to Serrin's local regularity criterion.
- Subjects :
- Mathematics - Analysis of PDEs
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1602.06137
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s00205-017-1191-3