The Generalized Caffarelli‐Kohn‐Nirenberg Theorem for the Hyperdissipative Navier‐Stokes System

By Maria Colombo, Camillo De Lellis, A. Massaccesi. Communications on Pure and Applied Mathematics, 2017

49 citations recorded by the source corpus.

We introduce a notion of suitable weak solutions of the hyperdissipative Navier‐Stokes equations, and we achieve a corresponding extension of the regularity theory of Caffarelli‐Kohn‐Nirenberg. © 2019 Wiley Periodicals, Inc.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/e1cfef8558d4cf963b7f341210bca06ed3e2f304

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In Applied Mathematics

1. Maria Colombo
2. Vlad Vicol
3. T. Buckmaster
4. Martina Hofmanov'a
5. Patrick Winkert
6. Xiangchan Zhu
7. Rongchan Zhu
8. Elia Brué

Citations in the corpus

• Wild solutions of the Navier–Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1 (2018, background): “For α ∈ [3/4, 1) and (1, 5/4) partial regularity results à la Caffarelli-Kohn-Nirenberg were established in [25, 44] and [8].”