Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2025 18 (1)
- Authors
- Senashov, Sergei I.; Savostyanova, Irina L.; Cherepanova, Olga N.
- Contact information
- Senashov, Sergei I. : Reshetnev Siberian State University of Science and Technology Krasnoyarsk, Russian Federation; ; Savostyanova, Irina L. : Reshetnev Siberian State University of Science and Technology Krasnoyarsk, Russian Federation; OCRID: 0000-0002-9675-7109; Cherepanova, Olga N. : Siberian Federal University Krasnoyarsk, Russian Federation;
- Keywords
- equations of elasticity in a plane dynamic case; Cauchy problem; onservation laws; exact solutions
- Abstract
Equations of elasticity in a plane dynamic case are considered in this paper. The system of equations is replaced by system of first-order differential equations with the same solution. The solution-equivalent system is group fibration of the original system of equations. It is a combination of the resolving and automorphic systems. Special classes of conservation laws are found for the resolving system of equations. These laws allow one to find the solution of the original equations in the form of surface integrals over the boundary of an elastic body
- Pages
- 71–80
- EDN
- JZZUNK
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/154254
Journal of Siberian Federal University. Mathematics & Physics / Solving Cauchy Problem for Elasticity Equations in a Plane Dynamic Case
Full text (.pdf)