Applications of Differential Algebraic Equations: Examples and Benchmarks This volume encompasses prototypical innovative and emerging examples and benchmarks of Differential Algebraic Equations (DAEs) and their applications such as electrical networks chemical reactors multibody systems and multiphysics models to name but a few. Each article begins with an exposition of modelling explaining whether the model is prototypical and for which applications it is used. This is followed by a mathematical analysis and if appropriate a discussion of the numerical aspects including simulation. Additionally benchmark examples are included throughout the text. Mathematicians engineers and other scientists working in both academia and industry either on differential algebraic equations and systems or on problems where the tools and insight provided by differential algebraic equations could be useful would find this book resourceful General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example DAE Aspects in Vehicle Dynamics and Mobile Robotics Open loop Control of Underactuated Mechanical Systems Using Servo constraints: Analysis and Some Examples Systems of Differential Algebraic Equations in Computational Electromagnetics Gas Network Benchmark Models Topological Index Analysis Applied to Coupled Flow Networks Nonsmooth DAEs with Applications in Modeling Phase Changes Continuous Semi Discrete and Fully Discretized Navier Stokes Equations