Symmetric hyperbolic equations in the nonlinear elasticity theory |
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| Authors: | S K Godunov I M Peshkov |
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| Institution: | (1) Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090, Russia |
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| Abstract: | 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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| Keywords: | nonlinear elasticity theory symmetric hyperbolic equations equations in Eulerian and Lagrangian coordinates review |
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