That is, if the strength of the destabilizing term is sufficient to overcome the regularizing influence of the fourth-order term, then blow-up can take place.
Inlining is also possible (with some risk of code blow-up) for sets with just a few constructors, although we have not implemented this.
This gives tw = 0.291812, showing that blow-up had almost been reached by the final calculation, as we expect.
There is a critical mass for blow-up and a rich set of dynamics including families of similarity solutions for finite-time blow-up and infinite-time spreading.
Numerics were tested under a variety of space and time discretisations to ensure (where applicable) consistency in, for example, blow-up time.
By reversal of the blow-up, they provide an approximation of the linearization when the multiplier is very close to a resonance.
However, in 6.4 we show that even in these cases, the dynamics leading up to the eventual blow-up may not be trivial.
As for the solid fuel model (1.1), the structure of such a blow-up singularity formation is of importance in the present higher-order model.
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