Email this article CAUCHY PROBLEM SOLUTION FOR A HYPERBOLIC SYSTEM OF THE HOMOGENEOUS 2-DIMENSIONAL QUASILINEAR EQUATIONS
- Authors: Senashov SI1, Yakhno A1
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- Issue: Vol 10, No 4 (2009)
- Pages: 26-28
- Section: Articles
- URL: https://journals.eco-vector.com/2712-8970/article/view/508511
- ID: 508511
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Abstract
The method of solving the boundary-value problems for hyperbolic system of the homogeneous quasilinear equations of two independent variables with the help of conservation laws is presented. This method is applied to basic boundary problems for the system of two-dimensional plasticity equations under Sent-Venan-Mises yield criterion, as well for the system under Coulomb's criterion.
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References
- Symmetries and conservation laws for differentiale quations o f mathe matical physics : мonograph / A. V . Bocharov , V . N. C hetve rikov , S . V . Duzhin, et al. Amer . Math. S oc ., 1999.
- Senashov, S. I. The solving of the main boundary problems of plasticity by means of conservation laws. Modern Group Analysis VII, Developments in Theory, Computation and Application / S . I. S enas ho v , A. N . Yakhno . Norway : MARS Publishers, 1999. P . 149-154.
- Senashov , S. I. Simmetries and conservation laws of 2-dimensional ide als plastic ity / S. I. Senashov , A . M. Vinogradov // Proc. Edinburg Math. Soc. 1988. V ol. 31. P . 415-439.
- Kiriakov, P. P. Applications of symmeties and conservation laws for solution of differential equations / P . P . Kiriakov , S. I. Senashov , A. N. Yakhno // Publ. of Siberian Branch of Russian Academy of Science. 2001. (In Russian).
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