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Laplacian Growth, Elliptic Growth, and Singularities of the Schwarz Potential
Laplacian Growth Elliptic Growth Singularities Schwarz Potential
2010/12/13
The Schwarz function has played an elegant role in understanding and in generating new examples of exact solutions to the Laplacian growth (or \Hele-Shaw\) problem in the plane.
The large class of moving boundary processes in the plane modeled by the so-called Laplacian growth, which describes, e.g., solidification, electrodeposition, viscous fingering, bacterial growth, etc....