Информационная система "Конференции"

All-Russian Conference "New mathematical models of continuum mechanics: Construction and investigation" devoted to 90-years anniversary of academician L. V. Ovsyannikov

Novosibirsk, April 23-28, 2009

Abstracts

Media with Geometrical Constrains

Golubiatnikov A.N.

Moscow M.V. Lomonosov State University (Moscow)

Application of the affine symmetry to the construction of models of continuum mechanics with geometrical constrains is done. The theory is based on the classification of models in continual subgroups of general group of linear three-dimensional transformations with the calculations of their invariants [1]. Symmetry selection by hyperbolicity condition of motion equations is fulfilled. The plane problems with two constrains are resolved. The models of magnetic media and relaxation materials are discussed.

Bibliography

1. Golubiatnikov A.N. Symmetries of continua. Uspehi mehaniki. 2003. V. 2. No. 1. P. 126-183.

Note. Abstracts are published in author's edition

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