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For the sake of simplification of the stability design procedure, the overall problem in general is decomposed into two separate parts that exclude the other instability phenomena.
In a recent paper we examined the loss of ellipticity and its interpretation in terms of fiber kinking and other instability phenomena in respect of a fiber-reinforced incompressible elastic material.
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Other instabilities are related to different periodicities in particle motion.
He said: "While the threat from Russia, together with the risk it brings of a miscalculation resulting in a slide into strategic conflict, however unlikely we see that as being right now, represents an obvious existential threat to our whole being, we of course face threats from Isis and other instabilities to our way of life and the security of our loved ones".
The derivation can also be adapted to study various other instabilities in magnetosphere of Uranus.
These equations differ from the basic concept underpinning most of the other instabilities, the so-called strength curves.
One of the limitations is that in a 2D system, any possible couplings between a tearing mode and other instabilities cannot be modeled properly.
A fixed time-step Euler algorithm was used to integrate the equations: we used (Delta t = 0.1mbox{ ms}) for saddle-node analysis; 0.005 ms for other instabilities.
However, these techniques only can account for sample drift between frames, leaving the other instabilities still present in STEM images and limiting the image precision.
Importantly, we show that there is no period-doubling or other instabilities common to thermal cracking when the gradient is small.
Other instabilities, e.g., Kelvin-Helmholtz instability, which has no directional preference, may play a key role in the formation of small-scale QP structures observed in the present study.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com