Finite-Time Blow-Up

- Natural & Formal Sciences -
Mathematics & Logic Dictionary
A failure mode in which a solution norm or a field quantity becomes unbounded in finite time, meaning that certain norms of the solution diverge as time approaches a finite blow-up time and classical solution existence breaks down.

Finite-Time Blow-Up

- Mathematics & Logic -
Pure Mathematics Dictionary
A dynamical failure mode in which a solution's norm or a related observable becomes unbounded in finite time, indicating breakdown of classical continuation and loss of regularity.