Studies on the linear equations of melt-spinning of viscous fluids

Abstract

We discuss the linearized equations of fiber spinning in the nonisothermal viscous regime. We prove that the solutions of the governing equations are generated by an eventually compact semigroup of bounded linear operators. This result gives us the justification to relate the stability of the semigroup to the numerical resolution of the spectrum of its generator. We report several numerical findings, confirming prior results on the stability of solutions for the equations of melt-spinning.