This
note covers Derivation of mathematical models, Simplified models, Euler
equations, Vorticity, A dip on analysis and Biot Savarts law, Local in time well
posedness, Two dimensional case and one dimensional isentropic compressible
Euler equations.
This
note covers Derivation of mathematical models, Simplified models, Euler
equations, Vorticity, A dip on analysis and Biot Savarts law, Local in time well
posedness, Two dimensional case and one dimensional isentropic compressible
Euler equations.
The course
provides a survey of continuum fluid mechanics. Part I gives an extensive
development of the compressible Navier-Stokes equations. Part II focuses on
their solution in various limits: vorticity dynamics, compressible flow,
potential flow, and viscous laminar flow. The emphasis is on fluid physics and
the mathematics necessary to efficiently describe the physics.
Author(s): Joseph M. Powers, Department of
Aerospace and Mechanical Engineering, University of Notre Dame