Geodesic
The evolutionary equation for wave processes of the shift deformation
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 4, pp. 14-24

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One-dimensional process of formation and the subsequent motion of a flat cross shock wave is studied on the basis of solutions of the corresponding nonlinear evolutionary equation. This equation defines behaviour of the solution in front area of wave process and follows from interior lines of a method of matched asymptotic expansions. Comparative transient analysis of strains of a deformation and volume will be carried out and their basic differences are specified. In the capacity of model examples solutions of some concrete boundary value problems of a dynamic shift straining are observed. 
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     title = {The evolutionary equation for wave processes of the shift deformation},
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A. A. Burenin; V. E. Ragozina; Yu. E. Ivanova. The evolutionary equation for wave processes of the shift deformation. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 4, pp. 14-24. http://geodesic.mathdoc.fr/item/ISU_2009_9_4_a2/