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.