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Preprint 2015-017

Shadow waves for pressureless gas balance laws

Dalal Abdulsalam Elmabruk Daw and Marko Nedeljkov

Abstract: The procedure used for finding delta shock type solutions to some conservation laws known as Shadow Waves are now used for finding a solution to pressureless gas dynamics model with body force added as a source. The obtained solution in this paper resembles the one to pressureless gas dynamics model without a source. If the body force interpreted as the acceleration constant multiplied by the density the solution obtained here look physically reasonable since the velocities of waves are shifted accordingly with that acceleration.

Paper:
Available as PDF (111 Kbytes).
Author(s):
Dalal Abdulsalam Elmabruk Daw
Marko Nedeljkov
Submitted by:
; 2015-06-05.