Blowup solutions: Difference between revisions
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A '''blowup solution''' is a solution whose norm (typically a Sobolev norm) goes to infinity either in finite time (finite time blowup) or in infinite time (infinite time blowup). The former case is incompatible with global [[well-posedness]]. The latter is not | A '''blowup solution''' is a solution whose norm (typically a Sobolev norm) goes to infinity either in finite time (finite time blowup) or in infinite time (infinite time blowup). The former case is incompatible with global [[well-posedness]]. The latter is not incompatible with global well-posedness, but does rule out [[scattering]] behaviour. | ||
[[Category:Concept]] | [[Category:Concept]] | ||
Revision as of 19:04, 25 August 2006
A blowup solution is a solution whose norm (typically a Sobolev norm) goes to infinity either in finite time (finite time blowup) or in infinite time (infinite time blowup). The former case is incompatible with global well-posedness. The latter is not incompatible with global well-posedness, but does rule out scattering behaviour.
