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Application of Conformal Mapping in Physics

  1. Jan 13, 2018 #1
    Hi,
    I'm studying about Conformal Mapping in Complex Analysis and see its applications in Heat transfer, Fluid and Static Eletrocity. But it is said that this subject is very useful in many branches of Physics.
    Can you tell me about that?
    Thanks.
     
  2. jcsd
  3. Jan 13, 2018 #2

    FactChecker

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    You have already mentioned some important applications. In general, complex analysis conformal mappings are used to find solutions to planar potential flows. (see http://brennen.caltech.edu/fluidboo...ialflow/complexvariables/conformalmapping.pdf )
    Potentials are very important in physics.
    The basic ideas of complex analysis conformal mappings are extended to higher dimensions and have more applications than just planar flows.
     
  4. Jan 13, 2018 #3
    Can you tell more about applications to higher dimensions?
     
  5. Jan 13, 2018 #4

    ZapperZ

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    http://www.southampton.ac.uk/~evans/TS/Toolbox/confrml_map.pdf

    Zz.
     
  6. Jan 13, 2018 #5

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    I'm afraid that I was sloppy and too ambitious in my answer. The basics of mappings that locally map Rn into another space, preserving the local angles, is what I was referring to. I really don't have enough expertise to say more.
     
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