PHYSICS 715 / Mathematical Introduction to Fluid Mechanics

1.5 unit(s)

(same as Part I of MATH *749)

We derive the Euler and Navier-Stokes equations from the first principles of continuum mechanics. Mathematical properties of these systems of equations are discussed, such as the boundary conditions, potential and rotational flow and representation of the equations in different coordinate systems. We also briefly consider shocks, boundary layers and turbulence as well as the limits of small and large Reynolds number. Finally, we survey analytical solutions of the Euler and Navier-Stokes equations.