Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity
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| Creator |
Senashov, S.I.
Yakhno, A. |
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| Description |
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 permits to construct the characteristic lines in domains, where Jacobian of hodograph transformations is equal to zero. Moreover, the conservation laws give all solutions of the linearized system. Some examples from the gas dynamics and theory of plasticity are considered.
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| Date |
2019-02-18T17:50:49Z
2019-02-18T17:50:49Z 2012 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 35L65; 58J45; 74G10 DOI: http://dx.doi.org/10.3842/SIGMA.2012.071 http://dspace.nbuv.gov.ua/handle/123456789/148678 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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