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Curvature properties of the slowness surface of the system of crystal acoustics for cubic crystals II

Authors :
otto liess
Sonobe, T.
Source :
Osaka J. Math. 49, no. 2 (2012), 357-391, Scopus-Elsevier
Publication Year :
2012
Publisher :
Osaka University and Osaka City University, Departments of Mathematics, 2012.

Abstract

In this paper we study geometric properties of the slowness surface of the system of crystal acoustics for cubic crystals in the special case when the stiffness constants satisfy the condition $a = -2b$. The paper is a natural continuation of the paper [9] in which related properties were studied for general constants $a$ and $b$, but assuming that we were in the nearly isotropic case, in which case $a - b$ has to be small. We also take this opportunity to correct a statement made in [9]: see Remark 1.3.

Subjects

Subjects :
35Q72
53A05

Details

Language :
English
ISSN :
00306126
Volume :
49
Issue :
2
Database :
OpenAIRE
Journal :
Osaka Journal of Mathematics
Accession number :
edsair.dedup.wf.001..b5e18f295d889b3b73426b4cce12bf09