Correction to: A Geometric View on the Generalized Proudman-Johnson and r-Hunter-Saxton Equations. A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations (Journal of Nonlinear Science, (2022), 32, 1, (17), 10.1007/s00332-021-09775-5)

Martin Bauer*, Yuxiu Lu, Cy Maor

*Corresponding author for this work

Research output: Contribution to journalComment/debate

Abstract

The article “A geometric view on the generalized Proudman-Johnson and r-Hunter-Saxton equations” Bauer et al. (2022) concerns the study of two families of equations: the generalized inviscid Proudman-Johnson equation, and the r-Hunter-Saxton equation. There, we investigate these equations both on the real line and the circle and claim that they are equivalent for both cases. This statement was wrong, as the equations are only equivalent when considered on the real line. As a consequence the results on the circle (Section 3) are only valid for the r-Hunter-Saxton equations and do not hold for the generalized inviscid Proudman-Johnson equations. The results on the real line (Section 2) are valid as written.

Original languageAmerican English
Article number77
Number of pages1
JournalJournal of Nonlinear Science
Volume33
Issue number5
DOIs
StatePublished - Oct 2023

Bibliographical note

Publisher Copyright:
© 2023, Springer Science+Business Media, LLC, part of Springer Nature.

Fingerprint

Dive into the research topics of 'Correction to: A Geometric View on the Generalized Proudman-Johnson and r-Hunter-Saxton Equations. A Geometric View on the Generalized Proudman–Johnson and r-Hunter–Saxton Equations (Journal of Nonlinear Science, (2022), 32, 1, (17), 10.1007/s00332-021-09775-5)'. Together they form a unique fingerprint.

Cite this