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SOME PROBLEMS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS IN FIELD THEORY
Boling Guo,Fangfang Li
(Institute of Applied Physics and Computational Math., China Academy of Engineering Physics, Beijing 100088, PR China;Institute of Applied Math., Academy of Math. and Systems Science, Chinese Academy of Sciences, Beijing 100190, PR China)
DOI:
Abstract:
This paper is a brief introduction to Yang-Mills-Higgs model, Maxwell-Higgs model, Einstein's vacuum model, Yang-Baxter model, Chern-Simons-Higgs model and a discussion of the associated partial differential equation problems.
Key words:  field theory; nonlinear analysis; partial differential equations; topological invariants