On the Equations of Melt-Spinning in Viscous Flow 1

In this paper we provide an expository discussion of the equations of melt-spinning in the viscous regime. In particular, we shall address the issues of existence, uniqueness and regularity of solutions. To this end, we derive energy estimates for the solutions of certain boundary-initial value problems for hyperbolic equations of the first order. By virtue of weak^∗ compactness arguments, these estimates enable the use of the Contraction Mapping Principle in suitable Banach spaces.