On the semigroup of linearized forced elongation

In this note we analyze the linearized equations of forced elongation. We prove that solutions of these equations are given by a quasicontraction C0-semigroup on the physically correct state space L1 (0, 1) and that the semigroup is eventually differentiable. Key words and phrases: C0-semigroup; regularity; spectral properties; equations arising in fluid mechanics

• Type: Journal
• Year: 2005
• Where: APPML
• Authors: Thomas Hagen
• Keywords: APPML 2005, Correct State Space, Equations, Quasicontraction C0-semigroup