On the essential spectrum of a differentially rotating star in the axisymmetric case

被引：3

作者：

Faierman, M ^{[1
]}

Möller, M ^{[1
]}

机构：

[1] Univ Witwatersrand, Dept Math, ZA-2050 Johannesburg, South Africa

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2000年 / 130卷

关键词：

D O I：

10.1017/S0308210500000019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mixed-order system of singular partial differential equations occurring in the study of rotating stars is considered. It is shown that the associated operator L-0 is closable and that the essential spectrum of its closure L coincides with the essential spectrum of a bounded operator. Finally: some parts of the essential spectrum of L are determined explicitly.

引用

页码：1 / 23

页数：23

共 15 条

[1] Adams R. A., 1975, SOBOLEV SPACES
[2] THE ESSENTIAL SPECTRUM OF SOME MATRIX OPERATORS
ATKINSON, FV
LANGER, H
MENNICKEN, R
SHKALIKOV, AA
[J]. MATHEMATISCHE NACHRICHTEN, 1994, 167 : 5 - 20
[3] Dunford N., 1958, Linear Operators Part I
[4] ON STABILITY FOR SYMMETRIC HYPERBOLIC SYSTEMS .1.
ECKHOFF, KS
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1981, 40 (01) : 94 - 115
[5] Faierman M, 1999, Z ANGEW MATH MECH, V79, P739, DOI 10.1002/(SICI)1521-4001(199911)79:11<739::AID-ZAMM739>3.0.CO
[6] 2-V
[7] Kato T., 1980, PERTURBATION THEORY
[8] The essential spectrum of a non-elliptic boundary value problem
Langer, H
Moller, M
[J]. MATHEMATISCHE NACHRICHTEN, 1996, 178 : 233 - 248
[9] SHORT WAVELENGTH INSTABILITIES OF ROTATING, COMPRESSIBLE FLUID MASSES
LEBOVITZ, N
LIFSCHITZ, A
[J]. PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1992, 438 (1903): : 265 - 290
[10] INSTABILITIES OF IDEAL FLUIDS AND RELATED TOPICS
LIFSCHITZ, A
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1995, 75 (06): : 411 - 422

← 1 2 →