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Russian Academy of Sciences
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IssuesArchive of Issues2015-3pp.264-269

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A.I. Rylov, "Additional conservation laws, functional relations between conservation laws, and potentials of divergent gas dynamics equations," J. Appl. Math. Mech. 79 (3), 264-269 (2015)
Year 2015 Volume 79 Issue 3 Pages 264-269
DOI 10.1016/j.jappmathmech.2015.09.006
Title Additional conservation laws, functional relations between conservation laws, and potentials of divergent gas dynamics equations
Author(s) A.I. Rylov (Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia, rylov@math.nsc.ru)
Abstract The problems of constructing and revealing the functional relations between conservation laws, and constructing and finding additional conservation laws for the conservation laws previously obtained for three-dimensional unsteady flows (Terent'ev and Shmyglevskii, 1975), and for an infinite set of conservation laws for plane potential flows (Rylov, 2002), are considered. A functional relation means here that the sum of three or more left-hand sides of the divergent equations, with variable coefficients to be determined, is equal to zero.
Received 7 October 2013
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892815001082
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