This book presents a comprehensive overview of recent advances in the study of the Ginzburg-Landau (GL) equations. Organized into five chapters, it introduces the physical background of the GL equations before discussing the existence of global solutions and their asymptotic behavior in one- and higher-dimensional settings. It further examines applications of the GL equations to superconductivity and explores the connections between the GL model and harmonic maps.

Serving as both an introduction and a research reference, the book is intended for researchers in mathematics, physics, mechanics, and related disciplines, as well as university teachers, advanced undergraduate students, and graduate students wishing to deepen their understanding of the theory and applications of the Ginzburg–Landau equations.