Non-topological Condensates for the Self-dual Maxwell-Chern-Simons Model

Citation:

Weiwei AO,Chao LIU.Non-topological Condensates for the Self-dual Maxwell-Chern-Simons Model[J].Chinese Annals of Mathematics B,2025,46(5):663~694
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Authors:

Weiwei AO; Chao LIU

Foundation:

the National Key Research and Development Program of China (No. 2022YFA1006800), the National Natural Science Foundation of China (Nos. 12471111, 12131017, 12221001) and the Fundamental Research Funds for the Central Universities (No. 2682025CX024).
Abstract: In this paper, the authors study the elliptic system arising from the study of Maxwell-Chern-Simons model. They show that there exists a family of non-topological solutions with magnetic field concentrated at some of the vortex points as the two physical parameters satisfying almost optimal conditions where the limiting profile is the singular Liouville equation.

Keywords:

Self-dual Maxwell-Chern-Simons model  Non-topological condensates  Vortex concentration

Classification:

35B40, 35J47
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