We study the properties of a variable transformation for a 2x2 quasilinear hyperbolic nonhomogeneous system of first order, related to wave propgation. The considered variables transformation transforms characteristic curves of the original system, into characteristic curves of the transformed system. We make use of this property to study the propagation of weak discontinuities (acceleration waves) compatible with the quasilinear system (1.1). Finally a special class of rate-type media is considered and asymptotic solutions are investigated.
Wave features of a hodograph-like transformation for quasilinear hyperbolic systems
CURRO', Carmela
1990-01-01
Abstract
We study the properties of a variable transformation for a 2x2 quasilinear hyperbolic nonhomogeneous system of first order, related to wave propgation. The considered variables transformation transforms characteristic curves of the original system, into characteristic curves of the transformed system. We make use of this property to study the propagation of weak discontinuities (acceleration waves) compatible with the quasilinear system (1.1). Finally a special class of rate-type media is considered and asymptotic solutions are investigated.File in questo prodotto:
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