Quasiconformal Mappings in Fluid Dynamics

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I know that conformal mappings can be used to study 2 dimensional fluid flows. But I was wondering how quasiconformal mapping have been applied in this respect?

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The connection that I know of is that the transformation from the flow plane to the hodograph plane is quasiconformal under some assumptions on the flow. Conformal maps correspond to incompressible flow; quasiconformal to compressible.

Some references:

Search for "quasiconformal hodograph flow" to find a few more.