Differential and Integral Equations
- Differential Integral Equations
- Volume 14, Number 1 (2001), 19-36.
Studies on the linear equations of melt-spinning of viscous fluids
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.
Differential Integral Equations, Volume 14, Number 1 (2001), 19-36.
First available in Project Euclid: 21 December 2012
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Primary: 76A99: None of the above, but in this section
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