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

View as HTML     View as gif image

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