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Stability of the essential spectrum for 2D-transport models with Maxwell boundary conditions

โœ Scribed by Bertrand Lods; Mohammed Sbihi

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
219 KB
Volume
29
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

We discuss the spectral properties of collisional semigroups associated to various models from transport theory by exploiting the links between the so-called resolvent approach and the semigroup approach. Precisely, we show that the essential spectrum of the full transport semigroup coincides with that of the collisionless transport semigroup in any L p -spaces (1ยกpยกโˆž) for three 2D-transport models with Maxwell-boundary conditions. Copyright ? 2005 John Wiley & Sons, Ltd.

๐Ÿ“œ SIMILAR VOLUMES

On the Spectrum of a One-Velocity Transp
On the Spectrum of a One-Velocity Transport Operator with Maxwell Boundary Condition
โœ Zhang Xianwen; Liang Benzhong ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 194 KB

The spectrum of a one-velocity transport operator with Maxwell boundary condition is discussed in L 1 space. First, it is proved that the spectrum of a streaming operator associated with the transport operator consists of infinitely isolated eigenvalues, each of which is simple; furthermore, a formu