This chapter discusses the theoretical and experimental work on the dynamics of skyrmions in chiral magnets. A skyrmion is a stable particle-like emergent spin texture in magnets in the mesoscale. The experimental observations of skyrmions in B20 single crystal in 2009 have triggered enormous interest. Skyrmions have been found in a variety of systems, such as single crystals including metals, semiconductors, insulators, and artificial multilayer systems. Because of their efficient response to various external stimuli including electric current, magnetic field, thermal gradient, etc., skyrmions are deemed prime candidates for applications in the next generation spintronic devices. For this purpose, controlled creation, removal, and manipulation of skyrmions are crucial, and understanding their dynamics is essential. Recently, much progress has been made in understanding the interaction between conduction electrons and skyrmions in metal, the response of skyrmions to external drive, and the dynamics of skyrmions in insulators in the presence of a thermal gradient. In this chapter, we survey the recent progress in understanding the dynamics of skyrmion in chiral magnets. Vast information derived from these studies is shown to highlight unusual and unique dynamical properties of skyrmions in magnets, to reveal the challenges and opportunities in the research on skyrmion dynamics, and to demonstrate the huge potential for applications of skyrmions.
