𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Dilation of a non-quasifree dissipative evolution

✍ Scribed by Joseph C. Varilly

Publisher
Springer
Year
1981
Tongue
English
Weight
183 KB
Volume
5
Category
Article
ISSN
0377-9017

No coin nor oath required. For personal study only.

✦ Synopsis

A semigroup evolution for the 89 which admits a conservative dilation is known to be governed by a Bloch equation in a standard form. Here we construct a conservative dilation directly from the Bloch equation, thus yielding an example of a dilation scheme for an evolution which is not quasifree. Moreover, we show that this conservative evolution is never ergodic in the non-quasifree case.

πŸ“œ SIMILAR VOLUMES

Asymptotic profile of solutions to a non
Asymptotic profile of solutions to a non-linear dissipative evolution system with conservation
✍ Zhian Wang; Hong Sang πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 503 KB

## Abstract We investigate the asymptotic profile to the Cauchy problem for a non‐linear dissipative evolution system with conservational form provided that the initial data are small, where constants Ξ±, Ξ½ are positive satisfying Ξ½^2^<4Ξ±(1 βˆ’ Ξ±), Ξ±<1. In (__J. Phys. A__ 2005; **38**:10955–10969),