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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Strict type-II blowup in harmonic map flow
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by Alex Waldron
Proc. Amer. Math. Soc. 151 (2023), 4893-4907
DOI: https://doi.org/10.1090/proc/16511
Published electronically: July 28, 2023

Abstract:

A finite-time singularity of 2D harmonic map flow will be called “strictly type-II” if the outer energy scale satisfies \begin{equation*} \lambda (t) = O (T-t)^{\frac {1 + \alpha }{2} }. \end{equation*} We prove that the body map at a strict type-II blowup is Hölder continuous. This is relevant to a conjecture of Topping.
References
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Bibliographic Information
  • Alex Waldron
  • Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
  • MR Author ID: 1179061
  • Email: waldron@math.wisc.edu
  • Received by editor(s): February 17, 2022
  • Received by editor(s) in revised form: June 23, 2022
  • Published electronically: July 28, 2023
  • Additional Notes: The author was partially supported by NSF DMS-2004661
  • Communicated by: Lu Wang
  • © Copyright 2023 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 151 (2023), 4893-4907
  • MSC (2020): Primary 53E99; Secondary 53C43
  • DOI: https://doi.org/10.1090/proc/16511
  • MathSciNet review: 4634891