Long waves at the free surface of an inviscid fluid are known to have many interesting properties. In this review the existence or nonexistence of conservation laws is explored. While it is known that there are an infinite number of moment type conservation laws in two spatial dimensions, this does not appear to be true in three and higher dimensions. (c) 2005 Elsevier B.V. All rights reserved.
机构:
Delaware State Univ, Dept Math Sci, Dover, DE 19901 USAUniv Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa
Razborova, Polina
Biswas, Anjan
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机构:
Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA
King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi ArabiaUniv Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa