Geodesic
Symmetric hyperbolic equations in the nonlinear elasticity theory
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 1034-1055

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The basic results are overviewed concerning the formulation of nonlinear elasticity equations in the form of symmetric hyperbolic systems in long-time studies performed under the direction of the first author. The underlying principles developed in those studies are stated, and some inaccuracies and errors are corrected. Procedures are described for computing the coefficient matrices of the equations from a given equation of state. 
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     author = {S. K. Godunov and I. M. Peshkov},
     title = {Symmetric hyperbolic equations in the nonlinear elasticity theory},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1034--1055},
     publisher = {mathdoc},
     volume = {48},
     number = {6},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a8/}
}
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S. K. Godunov; I. M. Peshkov. Symmetric hyperbolic equations in the nonlinear elasticity theory. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 1034-1055. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a8/