Sentence examples for time of existence from inspiring English sources

As usual for this type of blow-up result similar in spirit to the classical Keller-Segel model for chemotaxis [26, 27], the proof only ensures that solutions for those initial data do not exist beyond a finite maximal time of existence.

Suppose (T^ge T_) is the maximal time of existence.

Assume that T ∗ > 0 is the maximal time of existence.

Some more important characteristics of such zones are space dimensions and time of existence (lifetime).

This proves that the maximal time of existence must be finite.

Assume that T ⋆ is the maximal time of existence of the solution to problem (1.4 - 1.5).

Assuming that one of the maximal times of existence is finite, we prove that the Sobolev norm of each of these solutions is bounded in an open neighborhood of it by using the I-method (see e.g. [4]).

By the maximum principle, it follows that u ( x, t ) ≥ 0 in the time interval of existence.

This unique existence of the work of art determined the history to which it was subject throughout the time of its existence.

"The NHS is at the most challenged time of its existence," they warn in a plea directed at David Cameron, Ed Miliband and Nick Clegg, none of whom has yet set out how they would ease the strains on the NHS after next year's election.

Within the short time of its existence, the Internet has developed certain patterns that can help users in the task of navigation.