Talk:Well-posed problem

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 Definition:  A system of mathematical equations with a unique solution that depends continuously of the data. [d] [e]
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I don't know anything about chaos, but I'm told that non-linear partial differential equations can have "chaotic" solutions. A very small change in initial conditions can give very large effects later (the famous flapping of a butterfly wing in Brazil causing a hurricane in Texas). Are problems with chaotic solutions well-posed?--Paul Wormer 13:47, 19 March 2010 (UTC)

These chaotic systems are deterministic and also continuous, but ill-conditioned (not stable). Therefore well-posed. It seems that a few authors include stable into well-posed, but most do not and the canonical definition seems to demand continuity only. --Peter Schmitt 23:51, 20 March 2010 (UTC)
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