Application of Conformal Mapping in Physics

[hoalacanhdk]

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.

 

[FactChecker]

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.

 

[hoalacanhdk]

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.

Can you tell more about applications to higher dimensions?

 

[ZapperZ]

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.

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

Zz.

 

[FactChecker]

Can you tell more about applications to higher dimensions?

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.