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Stefan problem
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== Historical note == The problem is named after [[Josef Stefan]] (Jožef Stefan), the Slovenian [[physicist]] who introduced the general class of such problems around 1890 in a series of four papers concerning the freezing of the ground and the formation of sea [[ice]].<ref>{{harv|Vuik|1993|p=157}}.</ref> However, some 60 years earlier, in 1831, an equivalent problem, concerning the formation of the Earth's crust, had been studied by [[Gabriel Lamé|Lamé]] and [[Benoît Paul Émile Clapeyron|Clapeyron]]. Stefan's problem admits a [[Self-similar solution|similarity solution]], this is often termed the [[Franz Ernst Neumann|Neumann]] solution, which was allegedly presented in a series of lectures in the early 1860s. A comprehensive description of the history of Stefan problems may be found in Rubinstein.<ref>{{Cite book|last=RUBINSTEIN, L. I.|title=STEFAN PROBLEM.|date=2016|publisher=American Mathematical Society|isbn=978-1-4704-2850-1|location=[Place of publication not identified]|oclc=973324855}}</ref>
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