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SUMMARY:Analysis on the Orr-Sommerfeld Equations for MHD - Tong Yang (City
  University of Hong Kong)
DTSTART:20220114T133000Z
DTEND:20220114T143000Z
UID:TALK166714@talks.cam.ac.uk
DESCRIPTION:It is a classical problem in fluid dynamics about the stabilit
 y and instability of hydrodynamic patterns in various physical settings\, 
 in particular the inviscid limit of laminar flow and boundary layer. The s
 tudy can be traced back to the early work by Lord Rayleigh and Heisenberg 
 among many others. On the other hand\, one of the powerful analytic tools 
 initiated by Sommerfeld and Orr is the spectral analysis by studying the F
 ourier normal mode behavior through the famous Orr-Sommerfeld equation der
 ived from the linearization of the incompressible Navier-Stokes equations.
  In this talk\, we will present some recent study on the Orr-Sommerfeld sy
 stem derived from the linearization of the MHD system around a shear flow 
 profile in different physical regimes and then investigate some different 
 or similar stability and instability phenomena compared with the Navier-St
 okes equations. The study also reveals the effect of the magnetic field on
  stability in different situations.
LOCATION:Seminar Room 1\, Newton Institute
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