diffusion-driven instability conditions

ol98

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Jul 30, 2020
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Is anyone able to help with a diffusion-driven instability condition question I've got:

1596468505703.png

I think I've got the DDI's:

So DDI 1 = -pi^2
DDI 2 = 6pi^2
DDI 3= 7pi^2
DDI4 = 49^4

Which I believe satisfies the DDI conditions, however I'm not sure what it means by calculate the range of unstable wavenumbers, anyone able to help out?
 
Hi, it will be very difficult to help you here. A lot of information is missing. You should provide us with more details like parts a and b of the problem. What have you tried so far?
 
Hi, it will be very difficult to help you here. A lot of information is missing. You should provide us with more details like parts a and b of the problem. What have you tried so far?
Hi, I think I've managed to work it out:

1596470538044.png

I used this formula, and substituted the values of D1, D2, fu, fv, gu and gv that were given
 
1596470652201.png

Those are parts a and b to the previous question, but I don't think you need them to calculate part c
 
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