Eigenvalue asymptotics in isothermal forced elongation

DOI10.1006/jmaa.1999.6708zbMath0980.76016OpenAlexW2015719130MaRDI QIDQ1977812

Thomas Hagen

Publication date: 14 December 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6708

zbMATH Keywords

strongly continuous semigrouplinearizationlinear semigroupcomplex planespectral mapping theoremfiber spinningasymptotic behavior of eigenvaluesgeneralized sectorlubrication scalingcharacteristic integral equationaxisymmetric Navier-Stokes equationforced elongationisothermal regime

Mathematics Subject Classification ID

Lubrication theory (76D08) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

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Cites Work

• Unnamed Item
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• Semigroups of linear operators and applications to partial differential equations
• On the spectrum of evolution operators generated by hyperbolic systems
• On the linear stability of hyperbolic PDEs and viscoelastic flows
• Perturbation theory for linear operators.
• Eigenvalue asymptotics in non-isothermal elongational flow
• Studies on the linear equations of melt-spinning of viscous fluids.
• One‐Dimensional Liquid Fibers
• Wider horizons for fluid mechanics
• On the essential spectrum of a semigroup of thermoelasticity
• Non-adiabatic elongational flows of viscoelastic melts

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