Reciprocal transformations of two-component hyperbolic systems and their invariants

[摘要] Criteria for the equivalence under reciprocal transformations of two-component hyperbolic systems are established in terms of reciprocal invariants. These results are applied to a 1+1-dimensional isentropic gasdynamics system to determine reciprocal equivalence to the canonical system with a polytropic gas law. The four-parameter model pressure-density relations for which this reciprocal equivalence holds are parameterized in terms of the Lagrangian signal speed. (C) 1998 Academic Press.

[发布日期] 1998-12-15