Inverse problem on conservation laws
作者: Roman O. PopovychAlexander Bihlo
作者单位: 1Wolfgang Pauli Institute, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria
2Institute of Mathematics of NAS of Ukraine, 3 Tereshchenkivska Str., 01024 Kyiv, Ukraine
3Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s (NL), A1C 5S7, Canada
刊名: Physica D: Nonlinear Phenomena, 2020, Vol.401
来源数据库: Elsevier Journal
DOI: 10.1016/j.physd.2019.132175
关键词: Conservation laws of differential equationsConservation-law characteristicsExtended kovalevskaya formFirst integralsConservative parameterizationThe vorticity equation
原始语种摘要: Abstract(#br)The explicit formulation of the general inverse problem on conservation laws is presented for the first time. Within this problem, one aims to derive the general form of systems of differential equations that admit a prescribed set of conservation laws. The particular cases of the inverse problem on first integrals of ordinary differential equations and on conservation laws for evolution equations are studied. We also solve the inverse problem on conservation laws for differential equations admitting an infinite dimensional space of zeroth-order conservation-law characteristics. This particular case is further studied in the context of conservative first-order parameterization schemes for the two-dimensional incompressible Euler equations. We exhaustively classify...
全文获取路径: Elsevier  (合作)
影响因子:1.669 (2012)

  • problem 题目
  • conservation 保存
  • general 普遍的
  • inverse 逆的
  • admit 容许
  • momentum 动量
  • particular 细致的
  • vorticity 涡度
  • first 第一
  • conservative 保守