On the essential spectrum of the linearized Navier-Stokes operator

Authors
Faierman, M Fries, RJ Mennicken, R Moller, M
Citation
M. Faierman et al., On the essential spectrum of the linearized Navier-Stokes operator, INTEG EQ OP, 38(1), 2000, pp. 9-27
Citations number
7
Categorie Soggetti
Mathematics
Journal title
INTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN journal
0378620X → ACNP
Volume
38
Issue
1
Year of publication
2000
Pages
9 - 27
Database
ISI
SICI code
0378-620X(200009)38:1<9:OTESOT>2.0.ZU;2-3
Abstract
We determine the essential spectrum of the linearized Navier-Stokes operato r with physical boundary conditions. In contrast to other approaches we do not make use of pseudodifferential operators. We establish a direct proof u sing only some fundamental results for matrix operators.