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Concept information

mathematical technique > equation solving > similarity solution

Preferred term

similarity solution  

Definition(s)

  • In the study of partial differential equations, particularly in fluid dynamics, a self-similar solution is a form of solution which is similar to itself if the independent and dependent variables are appropriately scaled. Self-similar solutions appear whenever the problem lacks a characteristic length or time scale (for example, the Blasius boundary layer of an infinite plate, but not of a finite-length plate). These include, for example, the Blasius boundary layer or the Sedov–Taylor shell. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Self-similar_solution)

Broader concept(s)

Synonym(s)

  • self-similar solution
  • selfsimilar solution

In other languages

URI

http://data.loterre.fr/ark:/67375/MDL-MT3Q1SXP-M

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