Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Authors: Senashov, S.I., Yakhno, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148678
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity / S.I. Senashov, A. Yakhno // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 30 назв. — англ.

For the hyperbolic system of quasilinear first-order partial differential equations, linearizable by hodograph transformation, the conservation laws are used to solve the Cauchy problem. The equivalence of the initial problem for quasilinear system and the problem for conservation laws system permit...