[2302.12557] Time evolution of the Navier-Stokes flow in far-field Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Analysis of PDEs arXiv:2302.12557 (math) [Submitted on 24 Feb 2023] Title: Time evolution of the Navier-Stokes flow in far-field Authors: Masakazu Yamamoto View a PDF of the paper titled Time evolution of the Navier-Stokes flow in far-field, by Masakazu Yamamoto View PDF HTML (experimental) Abstract: Asymptotic expansion in far-field for the incompressive Navier-Stokes flow are established. Under moment conditions on the initial vorticity, technique of renormalization together with Biot-Savard law derives an asymptotic expansion for the velocity with high-order. Especially scalings and large-time behaviors of the expansions are clarified. By employing them, time evolution of velocity in far-field is drawn. As an appendix, asymptotic behavior of solutions as time variable tends to infinity is given. Comments: 18 pages Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph) MSC classes: 35Q30, 35B40, 35C20, 76C05 Cite as: arXiv:2302.12557 [math.AP] (or arXiv:2302.12557v1 [math.AP] for this version) https://doi.org/10.48550/arXiv.2302.12557 Focus to learn more arXiv-issued DOI via DataCite Journal reference: J. Math. Fluid Mech. 26 (2024), 67 Related DOI : https://doi.org/10.1007/s00021-024-00904-0 Focus to learn more DOI(s) linking to related resources Submission history From: Masakazu Yamamoto [ view email ] [v1] Fri, 24 Feb 2023 10:16:28 UTC (18 KB) Full-text links: Access Paper: View a PDF of the paper titled Time evolution of the Navier-Stokes flow in far-field, by Masakazu Yamamoto View PDF HTML (experimental) TeX Source view license Current browse context: math.AP < prev | next > new | recent | 2023-02 Change to browse by: math math-ph math.MP References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from