Interfacial Dynamics of Abelian Domains: Differential Geometric Methods
Robert Owczarek, Hanna Makaruk · University of North Texas Digital Library (University of North Texas) · 1997
The equation: ReF`(T,Z)ZF`(T,Z) = 1 for conformal maps f(t,z) is important in interfacial dynamics. We extend the results by Gustafsson on existence and uniqueness of solutions of this equation from the case when f(t,z) is a rational function of z to the case when the spatial derivative f`(t,z) is rational.