- Introduction and application of the conformal mapping
*z*^{0.5}to fluid flow.- Flash animation showing step-by-step distortion of images and coordinates by several conformal mappings.
- Analysis of the transformation
*w*=*z*^{0.5}. - Analysis of
*w*=*z*^{2}. - Illustration of other flow patterns from the
*z*transform.^{n} - More on incompressible, irrotational flow.

- Conformal Mapping II.
- More on analytic functions.
- Derivation of the Cauchy-Riemann equations.
- Graphical interpretation of the Cauchy-Riemann equations.
- Comparison of complex derivatives with derivatives in a normal two dimensional space.
- 2D versus 3D space using conformal mapping.
- More on Laplace's equation boundary conditions and the uniqueness theorem.
- Examples of picking an analytic function suitable for a particular fluid flow problem.

- Fluid flow patterns handled by other functions.

- Conformal mapping of electric and magnetic fields.
- Starting electric and magnetic potentials and their fields.
- A case of matching potentials at the boundaries.
- Boundary conditions in electric fields.
- Boundary conditions in magnetic fields.
- Laplace's equation applied to resistive flow of charge and fluid.
- Laplace's equation applied to time varying electric and magnetic fields.

- Detailed conformal mappings.
- Introduction.
*w*=*z*^{0.5}*w*=*z*^{1.5}*w*=*z*^{2}*w*=*e*^{z}*w*= sin*z**w*= sin*z*, another domain.*w*= tan*z**w*=*z*+ 1/*z**w*= 1/*z*- Shifting and scaling
- Overview of conformal mapping.
- Links to more material on conformal mapping on the web.

- Listing of all physics postings by the author.

## Saturday, September 11, 2010

### Contents of postings on Conformal Mapping

Posted by P. Ceperley at 5:04 PM