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Wave-wave regular interactions of a gasdynamic type

DOI: 10.13111/2066-8201.2011.3.4.5

Keywords: geometrical approach , two-dimensional solutions , quantifiable “amount” of genuine nonlinearity , regular interaction vs. irregular interaction: heuristic details

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Abstract:

Two gas dynamic analytic approaches [of a Burnat type / Martin type] are respectively used in order to construct two analogous and significant pairs of classes of solutions [isentropic pair / anisentropic (of a particular type) pair]. Each mentioned pair puts together a class of “wave” elements and a class of “wave-wave regular interaction” elements. A classifying parallel is finally constructed between the two analogous pairs of classes -- making evidence of some consonances and, concurrently, of some nontrivial contrasts.

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