Talk:Well-posed problem: Difference between revisions

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imported>Peter Schmitt
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imported>Paul Wormer
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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?--[[User:Paul Wormer|Paul Wormer]] 13:47, 19 March 2010 (UTC)

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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)

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