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Domain of stability

The theory indicates us that if $ \nu<(2 \pi)^2 \approx 39,5 $, the soution $ u(x,t)=0$ is stable for all pertubations. This behaviour is verified by the simulation. We test this behaviour by initialing the simulation with a kind of dirac. So all the modes are excited and it will be easy to verified if $ u(x,t)=0$ effectively stable for all perturbations. The animation below shows the begin of the simulation for $ \nu=39$.
 


Julien Delbove

2000-11-23