In recent years flows in networks have attracted the interest of many researchers from
different areas e.g. applied mathematicians engineers physicists economists. The main
reason for this ubiquity is the wide and diverse range of applications such as vehicular
traffic supply chains blood flow irrigation channels data networks and others. This book
presents an extensive set of notes by world leaders on the main mathematical techniques used to
address such problems together with investigations into specific applications. The main focus
is on partial differential equations in networks but ordinary differential equations and
optimal transport are also included. Moreover the modeling is completed by analysis numerics
control and optimization of flows in networks. The book will be a valuable resource for every
researcher or student interested in the subject.
