Application of topological methods to estimate the number of longitudinal elastic waves in crystals

DOI10.1007/BF01016990zbMath0812.58021OpenAlexW2077657708WikidataQ121816712 ScholiaQ121816712MaRDI QIDQ1326824

Yu. G. Borisovich, O. V. Kunakovskaya, Boris M. Darinskii

Publication date: 13 July 1994

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01016990

zbMATH Keywords

Morse theorytopological invariantscrystalslongitudinal elastic wavesLyusternik- Shnirel'man category

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Optimization of other properties in solid mechanics (74P10) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Wave equation (35L05) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Geophysical solid mechanics (74L05)

Related Items (4)

Extreme conditions of elastic constants and principal axes of anisotropy ⋮ Longitudinal normals and the existence of acoustic axes in crystals ⋮ On harmonic polynomials invariant under unitary transformations ⋮ On some topological characteristics of harmonic polynomials

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