Files and links (1)
Published, Version of Record (VoR)Open Access via Drexel Libraries Read and Publish Program 2024CC BY V4.0, Open
Journal article
Improved regularity and analyticity of Cannone-Karch solutions of the three-dimensional Navier–Stokes equations on the torus
Monatshefte für Mathematik
30 Sep 2024
Featured in Collection : Research Supported by Drexel Libraries' OA Programs
Abstract
Abstract We consider the three-dimensional Navier–Stokes equations, with initial data having second derivatives in the space of pseudomeasures. Solutions of this system with such data have been shown to exist previously by Cannone and Karch. As the Navier–Stokes equations are a parabolic system, the solutions gain regularity at positive times. We demonstrate an improved gain of regularity at positive times as compared to that demonstrated by Cannone and Karch. We further demonstrate that the solutions are analytic at all positive times, with lower bounds given for the radius of analyticity.
Metrics
2 Record Views
Details
- Title
- Improved regularity and analyticity of Cannone-Karch solutions of the three-dimensional Navier–Stokes equations on the torus
- Creators
- David M. Ambrose (Corresponding Author)Milton C. Lopes FilhoHelena J. Nussenzveig Lopes
- Publication Details
- Monatshefte für Mathematik
- Publisher
- Springer Nature; Vienna
- Number of pages
- 15
- Grants
- 305309/2022-6, National Science Foundation (United States, Alexandria) - NSF
- Grant note
- Directorate for Mathematical and Physical Sciences: DMS-2307638 National Science Foundation: 305309/2022-6 CNPq: E-26/201.027/2022
DMA gratefully acknowledges support from the National Science Foundation through grant DMS-2307638. MCLF was partially supported by CNPq, through Grant # 304990/2022-1, and FAPERJ, through grant # E-26/201.209/2021. HJNL acknowledges the support of CNPq, through grant # 305309/2022-6, and of FAPERJ, through grant # E-26/201.027/2022.
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001322426300001
- Scopus ID
- 2-s2.0-105001059294
- Other Identifier
- 991021906084504721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics