Course Web Page:    https://www.ams.jhu.edu/~eyink/TurbulenceIII

Homework:   There will be weekly assignments.

Prerequisites:    Although 550.693-4 Turbulence Theory I-II are not a formal prerequisite for this course,
we will use make liberal use of material from those courses.

Overview of Topics Covered:

Two-Dimensional & Geophysical Turbulence: justification for 2D; Kraichnan-Batchelor theory of enstrophy
and energy cascades; geostrophic turbulence; turbulent transport of PV; wave-turbulence interactions/wave kinetics;
evidence from observations of the ocean and atmosphere.

Compressible Turbulence: compressible Navier-Stokes & MHD, linear waves, conservation laws, shocks;
Favre filtering method; cascades & their locality; Kovasny modal decompositions.

Magnetohydrodynamic Turbulence: basic properties of MHD - linear waves, conservation laws; cascade ranges
with fluxes of energy, magnetic helicity and cross-helicity; weak wave kinetics; strong turbulence theories of
Kraichnan-Iroshnikov, Goldreich-Sridhar, Boldyrev; regimes of high and low magnetic Prandtl numbers;
observations of the solar wind.

Grading:

Your final grade in this class will be determined by your scores on weekly homework assignments

Late Homework and Make-Up Exams:

Homework may be submitted after the due date only at the instructor's discretion, possibly for reduced credit.
Homework may not be accepted for credit after solutions have been posted on-line. If there is a valid excuse
for its being late, then it will be removed from the student's total grade for the course, and the remainder of
the homework assignments reweighted accordingly.

Guidelines for Ethical Conduct:

The strength of the university depends on academic and personal integrity. In this course, you must be honest
and truthful. Ethical violations include cheating on exams, plagiarism, reuse of assignments, improper use
of the Internet and electronic devices, unauthorized collaboration, alteration of graded assignments, forgery
and falsification, lying, facilitating academic dishonesty, and unfair competition.

In addition, specific ethics guidelines for this course are as follows: Students may discuss homework. However,
all solutions MUST be written up and submitted individually. The same rules apply to computer programs.
Basic ideas may be discussed but detailed codes should not be copied or shared. Finally, exams must
represent the result of individual effort and communication is permitted only with the instructor and TA.

Report any violations you witness to the instructor. You may consult the associate dean of student affairs
and/or the chairman of the Ethics Board beforehand. See the guide on ``Academic Ethics for Undergraduates''
and the Ethics Board Web site (http://ethics.jhu.edu) for more information.