This
lecture notes has the following topics explained : Introduction, . 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 ,
Euler’s equations for incompressible ideal fluids , Potential flows for ideal
fluids, Real fluids and Navier-Stokes 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
Heavy-Ions collisions.
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.
These lecture notes provide a introduction to fluid mechanics, aimed
at undergraduates. The contents in this page are as follows : Introduction and
Inviscid Flows, The Navier-Stokes Equation, Waves, Instabilities, Turbulence.