Transport and fluid systems

This course bridges classical fluid mechanics with advanced topics relevant to nonlinear transport and geophysical or energy-related flows. We begin with a theoretical foundation connecting statistical physics to continuum mechanics, deriving Navier–Stokes equations from Boltzmann kinetic theory and discussing the microscopic origin of transport coefficients. 

We then explore compressible flows and their analogies with interfacial waves, leading to insights on shock waves, solitons, and the nonlinear dynamics of surface and internal waves.