FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 6, PAGES 213-229

**The Rankine--Hugoniot conditions and balance laws for
$$d-shocks**

V. M. Shelkovich

Abstract

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New definitions of $$d-shock wave-type
solutions are introduced for two (one-dimensional) types of hyperbolic
systems of conservation laws.
Corresponding Rankine--Hugoniot conditions for $$d-shocks are derived,
and their geometrical interpretation is given.
Balance laws connected with "area," mass, and momentum transportation
for $$d-shocks are derived.

Location: http://mech.math.msu.su/~fpm/eng/k06/k066/k06613h.htm

Last modified: February 26, 2007