By Jian-Jun Xu
The steadiness mechanisms of a curved entrance and the choice of development formation in dendrite development and viscous fingering were long-standing primary topics within the components of condensed topic physics, fabric technology, crystal progress and fluid mechanics. This e-book reports the interfacial balance and development formation in dynamic structures clear of the equilibrium nation. particularly, it bargains with the 2 renowned prototype structures: dendrite progress in solidification and viscous fingering in Hele--Shaw circulate. It elucidates the main difficulties step-by-step and systematically derives their mathematical options at the foundation of the newly validated interfacial wave concept. ultimately, it conscientiously examines those effects via comparisons with the to be had experimental effects.