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Dr Min-Chun Hong       Senior Lecturer  Publication 2000   Yi, Fang and Hong, MC (2000) Heat flow for Yang-Mills-Higgs fields, part I. Chinese Annals of Mathematics Series B, 21 4: 453-472. The Yang-Mills-Higgs field generalizes the Yang-Mills field. The authors establish the local existence and uniqueness of the weak solution to the heat flow for the Yang-Mills-Higgs field in a vector bundle over a compact Riemannian 4-manifold, and show that the weak solution is gauge-equivalent to a smooth solution and there are at most finite singularities at the maximum existing time.  Dr Min-Chun Hong eSpace Record:   http://espace.library.uq.edu.au/view/UQ:36955     Links:   Journal web site Keywords:   Mathematics, Vector Bundle, Yang-mills-higgs Field, Heat Flow, Singularity, Higher Dimensions, 4 Dimensions, Connections, Evolution, Surfaces   << Back to Publication List

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