Differential and Integral Equations

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

Thomas Hagen and Michael Renardy

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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.

Article information

Source
Differential Integral Equations, Volume 14, Number 1 (2001), 19-36.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356123372

Mathematical Reviews number (MathSciNet)
MR1797929

Zentralblatt MATH identifier
1161.35334

Subjects
Primary: 76A99: None of the above, but in this section

Citation

Hagen, Thomas; Renardy, Michael. Studies on the linear equations of melt-spinning of viscous fluids. Differential Integral Equations 14 (2001), no. 1, 19--36. https://projecteuclid.org/euclid.die/1356123372


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