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Basic Concepts and Technologies.- Governing Equations and Slip Models.- Shear-Driven Flows.- Pressure-Driven Flows.- Thermal Effects in Microscales.- Prototype Applications of Gas Flows.- Electrokinetic Flows.- Surface Tension-Driven Flows.- Mixers and Chaotic Advection.- Simple Fluids in Nanochannels.- Water in Nanochannels.- Electroosmotic Flow in Nanochannels.- Functional Fluids and Functionalized Nanotubes.- Numerical Methods for Continuous Simulation.- Multiscale Modeling of Gas Flows.- Multiscale Modeling of Liquid Flows.- Reduced-Order Modeling.- Reduced-Order Simulation.- Bibliography.