Asymptotic decay for the Chern-Simons-Higgs equations

D Wei, S Yang - arXiv preprint arXiv:2401.13949, 2024 - arxiv.org
In this paper, we study the long time asymptotic behaviors for solutions to the Chern-Simons-
Higgs equation with a pure power defocusing nonlinearity. We obtain quantitative inverse …

Local and global solutions of Chern-Simons gauged O (3) sigma equations in one space dimension

H Huh, G Jin - Journal of Mathematical Physics, 2016 - pubs.aip.org
We study an initial value problem of the Chern-Simons gauged O (3) sigma model in one
space dimension. The global existence of solutions to the model is proved for high regularity …

1+1中中Maxwell-Chern-Simons-Higgs 模型解的L 估计.

金广辉, 周羽 - Journal of Jilin University (Science Edition) …, 2024 - search.ebscohost.com
ℝ1+1 中Maxwell-Chern-Simons-Higgs 模型解的L∞ 估计 Page 1 第62卷第1期 吉林大学学报(理学
版) Vol.62 No.1 2024年1月 JournalofJilinUniversity(ScienceEdition) Jan 2024 doi:10.13413/j.cnki.jdxblxb.2023125 …

Finite difference methods for the one-dimensional Chern-Simons gauged models.

J Kim, B Moon - … & Continuous Dynamical Systems-Series B, 2022 - search.ebscohost.com
We present finite difference schemes for the one-dimensional Chern-Simons gauged
Schrödinger and Dirac equations. We provide two numerical schemes for the Chern-Simons …

L∞ bounds for Chern–Simons gauged equations in R1+ 1 and their applications

H Huh, J Yim - Journal of Mathematical Physics, 2021 - pubs.aip.org
We estimate the L∞ norm of the first derivative of the solution to the Chern–Simons gauged
O (3) sigma model in R 1+ 1 by using local energy conservation and observing the transport …

Local and global solutions to the O (3)-sigma model with the Maxwell and the Chern-Simons gauges in R1+ 1

G Jin, B Moon - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
In this paper we study the well-posedness of the (1+ 1)-dimensional Maxwell-Chern-Simons
gauged O (3)-sigma model with the Lorenz gauge condition. First, we provide the global well …

Reduction of Chern‐Simons‐Schrödinger Systems in One Space Dimension

H Huh - Journal of Applied Mathematics, 2013 - Wiley Online Library
We study Chern‐Simons‐Schrödinger systems in one space dimension. We show that
Chern‐Simons‐Schrödinger and 𝒩= 2 supersymmetric Chern‐Simons‐Schrödinger …

Remarks on Chern-Simons gauged O (3) sigma model in one space dimension

G Jin, H Huh - Journal of Mathematical Physics, 2019 - pubs.aip.org
We find the stationary solutions of the Chern-Simons gauged O (3) sigma model in one
space dimension and study an initial value problem under the gauge condition A 1= 0. We …

[PDF][PDF] Remarks on Chern-Simons-Higgs Equations in

H Huh, G Jin - Advances in Mathematical Physics, 2016 - inspirehep.net
Research Article Remarks on Chern-Simons-Higgs Equations in R1+1 Page 1 Research Article
Remarks on Chern-Simons-Higgs Equations in R1+1 Hyungjin Huh and Guanghui Jin …

LOCAL EXISTENCE OF CHERN-SIMONS GAUGED O (3) SIGMA EQUATIONS

X Zheng - East Asian mathematical journal, 2021 - koreascience.kr
LOCAL EXISTENCE OF CHERN-SIMONS GAUGED O(3) SIGMA EQUATIONS -East Asian
mathematical journal | Korea Science 042)869-1760 koreascience@kisti.re.kr Login English …