Work

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

Year: 2005

Type: article

Abstract: 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 Lp-spaces (1 <p < ∞) for three 2D-transport models with Maxwell-boundary conditions. Copyright © 2005 John Wiley & Sons, Ltd.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.684

Authors: Bertrand Lods, Mohammed Sbihi

Institutions: Politecnico di Torino, Centre National de la Recherche Scientifique, Laboratoire de Mathématiques de Besançon, Université de Franche-Comté

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2071186355

FWCI: 1.679

Cites: 38

Cited by: 15

Related to: 10