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SUMMARY:Visualising fluid mechanics phenomena via quasi-bases - Catherine 
 Drysdale\, University of Birmingham
DTSTART:20231124T160000Z
DTEND:20231124T170000Z
UID:TALK206692@talks.cam.ac.uk
CONTACT:Professor Grae Worster
DESCRIPTION:We consider the Real non-self-adjoint Ginzburg Landau (RnsaGL)
  equation where the linear operator gives rise to a quasi-basis structure.
  This quasi-basis structure allows us to look at the transfer of energy be
 tween eigenmodes in a system that is both non-normal and nonlinear. The im
 portance of non-normality versus nonlinearity has been a topic of debate c
 oncerning where difficulty modelling Fluid Mechanics systems lies. Althoug
 h only a toy model\, the quasi-basis structure allows us to illustrate the
  ramifications of non-normality and nonlinearity contemporaneously in cont
 rast to tools such as the plotting of pseudospectra that only illuminates 
 the linear phenomena. There are also consequences of quasi-basis structure
  for computing pseudospectra and higher order terms via weakly nonlinear e
 xpansions.
LOCATION:MR2
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