Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2023; 38(4): 1091-1100

Online first article October 11, 2023      Printed October 31, 2023

https://doi.org/10.4134/CKMS.c220362

Copyright © The Korean Mathematical Society.

Remarks on the gradient flow of $\alpha$ energy potential on the line

Hyojun An, Hyungjin Huh

Chung-Ang University; Chung-Ang University

Abstract

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We are interested in the gradient flow of $\alpha$ energy potential. We provide basic estimates and study asymptotic behaviors for the case $N=2, \ldots, 5$.

Keywords: Gradient flow of $\alpha$ energy potential, asymptotic behaviors

MSC numbers: 34D05, 34D23, 34E10

Supported by: H. Huh was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (2020R1F1A1A01072197).

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