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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 071, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.071 (Mi sigma748) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Conservation laws, hodograph transformation and boundary value problems of plane plasticity

Sergey I. Senashova, Alexander Yakhnob

a Siberian State Aerospace University, Krasnoyarsk, Russia
b Departamento de Matemáticas, CUCEI, Universidad de Guadalajara, 44430, Mexico
Full-text PDF (534 kB) Citations (15)
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DOI: https://doi.org/10.3842/SIGMA.2012.071
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.
Keywords: conservation laws; hodograph transformation; Riemann method; plane plasticity; boundary value problem.
Received: April 18, 2012; in final form September 29, 2012; Published online October 13, 2012
Bibliographic databases:
Document Type: Article
MSC: 35L65; 58J45; 74G10
Language: English
Citation: Sergey I. Senashov, Alexander Yakhno, “Conservation laws, hodograph transformation and boundary value problems of plane plasticity”, SIGMA, 8 (2012), 071, 16 pp.
Citation in format AMSBIB
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\paper Conservation laws, hodograph transformation and boundary value problems of plane plasticity
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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