The Kuramoto–Sivashinsky Equation (Part 4)

Here is some more work by Cheyne Weis. Last time I explained that Cheyne and Steve Huntsman were solving the ‘derivative form’ of the Kuramoto–Sivashinsky equation, namely this:

u_t + u_{xx} + u_{xxxx} + u u_x = 0

Above is one of Steve’s pictures of a typical solution with its characteristic ‘stripes’. Cheyne started trying to identify these stripes as locations where du/dx \le c for some cutoff c, for example c = -0.7. He made some nice 3d views of du/dx illustrating the problems with this. As he explains:



So there is the tradeoff that if I ...

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Published on October 23, 2021 13:10
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