Lecture notes in fluid mechanics

Overview & Synopsis

This note contains below topics, Continuum hypothesis, Mathematical functions that define the fluid state, Limits of the continuum hypothesis, Closed set of equations for ideal fluids, Boundary conditions for ideal fluids, Introduction to nonlinear differential equations, Eulers equations for incompressible ideal fluids, Potential flows for ideal fluids, Real fluids and NavierStokes equations, Boundary conditions for real fluids, Reynolds number and related properties, The millennium problem of the Clay Institute, Bounds and partial proofs, Fluid mechanics in relativistic HeavyIons collisions.