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Preprint 2006-057

Delta shock wave formation in the case of triangular hyperbolic system of conservation laws

V.G. Danilov and D. Mitrovic

Abstract: We describe δ shock wave arising from continuous initial data in the case of triangular conservation law system motivated by “generalized pressureless gas dynamics model”. We use the weak asymptotic method and provide explicit form of the approximate solution in rather general situation.

Paper:
Available as PDF (280 Kbytes).
Author(s):
V.G. Danilov,
D. Mitrovic,
Publishing information:
To appear in Journal of Differential Equations.
Comments:
Updated 2007-01-15, 2007-12-18, and 2008-03-24.
Submitted by:
; 2006-12-25.