Title: Scaling Limit of Particle Systems, Incompressible Navier-Stokes Equation and Boltzmann Equation

We review recent work on derivations of the Euler, incompressible Navier-Stokes and Boltzmann equations from scaling limits of microscopic dynamics.

1991 Mathematics Subject Classification: Primary 82C22; Secondary 60K35,82C05, 82C10.

Keywords and Phrases: Euler equations, incompressible Navier-Stokes equations, Boltzmann equation, Hamiltonian dynamics, stochastic dynamics, Schr\"odinger equation.

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