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Course Details

Spring 2015-2016
AST 559 / APC 539   Graded A-F, P/D/F, Audit

Nonlinear Processes in Fluids and Plasmas

John A. Krommes

A comprehensive introduction to the theory of nonlinear phenomena in fluids and plasmas, with emphasis on turbulence and transport. Experimental phenomenology; fundamental equations, including Navier-Stokes, Vlasov, and gyrokinetic; numerical simulation techniques, including pseudo-spectral and particle-in-cell methods; coherent structures; transition to turbulence; statistical closures, including the wave kinetic equation and direct-interaction approximation; PDF methods and intermittency; variational techniques. Applications from neutral fluids, fusion plasmas, and astrophysics.

Sample reading list:
U. Frisch, (1995) Turbulence
S.A. Orszag, (1977) Lectures on the statistical theory of turbulence
W.D. McComb, (1990) The Physics of Fluid Turbulence
A.J. Lichtenberg and M.A. Lieberman, Regular and chaotic dynamics (2 ed 1992)
S.K. Friedlander & L. Topper (eds.), Turbulence: Classic Papers (1961)
B.B. Kadomtsev, (1965) Plasma Turbulence

Other (See Instructor) - 100%

Other Requirements:
Not Open to Freshmen.

Other information:
Assumes knowledge of elementary probability theory, including random walk and Fokker-Planck equations. A background equivalent to AST 554, "Irreversible Processes in Plasma," is useful but not essential. Intended for students interested in theory and applied math. This year, plasma applications will be emphasized. Nonplasma students should e-mail instructor ( before first day of class for further information.

Schedule/Classroom assignment:

Class numberSectionTimeDaysRoomEnrollmentStatus
43220 C01 10:30:00 am - 11:50:00 am M W   Forrestal Substation   T168   Enrolled:8 Limit:20