Eksempler på blow up

• 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.

• Total wave collapse will take place provided the blow-up singularity does not occur at times earlier than the collapse predicted by the virial theorem.

• This estimate corresponds to the asymptotic analysis of blow-up patterns we are going to perform in the next sections.

• This would lead to gradient blow-up of the solution of the graph equation.

• We are not in this paper primarily concerned with blow-up, but rather with the underlying mathematical structure of the free boundary problems.

• A local linear stability analysis shows that this regularization successfully penalises the short wavelength growth which is usually associated with blow-up [13].

• The inset in panel (a) is a blow-up of the first peak in the trace of panel (a).

• We assume that the conditions (1.7) hold (as in the blow-up case [11]).