Well-posedness for the Chern-Simons-Schrödinger equations

AIMS Mathematics

article

Jishan Fan¹  Tohru Ozawa² 

[1] Department of Applied Mathematics, Nanjing Forestry University;Department of Applied Physics, Waseda University

关键词: Chern-Simons-Schrödinger;    Coulomb gauge;    well-posedness;   

DOI  :  10.3934/math.2022955

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

First, we prove uniform-in-$ \epsilon $ regularity estimates of local strong solutions to the Chern-Simons-Schrödinger equations in $ \mathbb{R}^2 $. Here $ \epsilon $ is the dispersion coefficient. Then we prove the global well-posedness of strong solutions to the limit problem $ (\epsilon = 0) $.

【 授权许可】

CC BY