Jump to ContentJump to Main Navigation
Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time$
Users without a subscription are not able to see the full content.

Philip Isett

Print publication date: 2017

Print ISBN-13: 9780691174822

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691174822.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 28 June 2022

Constructing the Correction

Constructing the Correction

(p.30) 7 Constructing the Correction
Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time

Philip Isett

Princeton University Press

This chapter explains how the correction is constructed, first by considering the transportation of the phase functions. A solution (v, p, R) to the Euler-Reynolds equations is fixed and a correction v₁ = v + V, p₁ = p + P is presented. Here v is an approximation to the “coarse scale velocity” since the solution ultimately achieved by the process will resemble v at a sufficiently coarse scale. The next step is to eliminate the Transport term. A time cutoff function is also introduced, where the time cutoff itself is differentiated in the Transport term. Finally, the chapter describes the High–High Interference term and Beltrami flows, how to construct the corrections Vsubscript I, P₀ in such a way that the Stress term can be reduced to a new stress, and the Stress equation and initial phase directions.

Keywords:   correction, phase function, Euler-Reynolds equations, coarse scale velocity, Transport term, time cutoff function, High–High Interference term, Beltrami flows, Stress term, Stress equation

Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.