Abstract
A system of equations of isentropic gas motion with n ⩾ 2 is classified in terms of zero-order conservation laws with the use of the method of A-operators. New conservation laws are found to be valid only for potential isentropic motion of the Chaplygin gas. In this case, the greatest number of nontrivial conservation laws is obtained, with n scalar conservation laws being nonlocal. Additional properties of symmetry of the considered equations associated with these conservation laws are indicated.
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References
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Yu. A. Chirkunov, “Method of A-operators and conservation laws for the4 equations of gas dynamics,” J. Appl. Mech. Tech. Phys., 50, No. 2, 213–219 (2009).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 51, No. 1, pp. 3–6, January–February, 2010.
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Chirkunov, Y.A. Conservation laws and group properties of equations of isentropic gas motion. J Appl Mech Tech Phy 51, 1–3 (2010). https://doi.org/10.1007/s10808-010-0001-6
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DOI: https://doi.org/10.1007/s10808-010-0001-6