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Mathematics Department
REU Program

Elementary Fluid Dynamics
This is a short, two week, introduction to fluid mechanics and dynamics as part of the University of Chicago Mathematics REU Program. For the eager student, this can be easily extended into an independent investigation of a special topic in applications of fluid mechanics. Questions revolving around the dynamics and mechanics of fluids arise very naturally from physical
observation. Substances which range from the very air we breath to the oceans which cover seventy percent of the earth
behave as fluids. Shockingly, the behavior of such grand continuum as the ocean (or the syrup you put on your pancakes
this morning) can often be packaged into intuitive and compact equations. We will develop the basic concepts of fluid
dynamics following the general procedure of D. J. Acheson. Topics Covered will include:
Ideal Fluids
Vorticity
Elementary Viscous Flows
Applications to Biology
No previous experience with differential equations or vector
calculus will be assumed.
Schedule (TBA)
DATE

DAY

TIME

PLACE

TOPIC

Jun. xx

TBA

TBA

TBA

Introduction to Fluids


