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

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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dc.contributor.author	Senashov, S.I.
dc.contributor.author	Yakhno, A.
dc.date.accessioned	2019-02-18T17:50:49Z
dc.date.available	2019-02-18T17:50:49Z
dc.date.issued	2012
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 35L65; 58J45; 74G10
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2012.071
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148678
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Geometrical Methods in Mathematical Physics”. The full collection is available at http://www.emis.de/journals/SIGMA/GMMP2012.html. We would like to express our gratitude to unknown referees for useful corrections. This work was partially supported by PRO-SNI (UdeG).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA