The Analysis of Harmonic Maps and Their Heat Flows

Introduction to Harmonic Maps Regularity Theory of Harmonic Maps Heat Flow of Harmonic Maps into Manifolds of Non-positive Curvatures Bubbling Analysis in Dimension Two Partially Smooth Weak Solutions in High Dimensions Blow up Analysis of Heat Flow of Harmonic Maps in Higher Dimensions Rectifiability of Defect Measures and Generalized Varifold Flows.