Curvature properties of the slowness surface of the system of crystal acoustics for cubic crystals
Liess, Otto
Osaka J. Math., Tome 45 (2008) no. 1, p. 173-210 / Harvested from Project Euclid
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In this paper we study geometric properties of the slowness surface of the system of crystal acoustics for cubic crystals. In particular we shall study curvature properties of the surface and the behaviour of the surface near singular points. The main result is that in the generic nearly isotropic case there are no planes which are tangent to the surface along entire curves. This is in contrast with what happens for the slowness surface of the system of crystal optics for bi-axial crystals. Geometric information of the type we shall obtain is needed to understand the long-time behaviour of global solutions of the system of crystal acoustics.
Publié le : 2008-03-15
Classification:  53A05,  35Q72 
@article{1205503564,
     author = {Liess, Otto},
     title = {Curvature properties of the slowness surface of the system of crystal acoustics for cubic crystals},
     journal = {Osaka J. Math.},
     volume = {45},
     number = {1},
     year = {2008},
     pages = { 173-210},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1205503564}
}

Liess, Otto. Curvature properties of the slowness surface of the system of crystal acoustics for cubic crystals. Osaka J. Math., Tome 45 (2008) no. 1, pp.  173-210. http://gdmltest.u-ga.fr/item/1205503564/