Shadow waves for pressureless gas balance laws |
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Affiliation: | Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovića 4, 21000 Novi Sad, Serbia |
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Abstract: | The pressureless gas dynamic model with body force as a source is considered. The problem is solved using the procedure used for finding delta shock type solutions to a special conservation laws known as Shadow Waves. If the body force is interpreted as the acceleration constant multiplied by the density, the solution obtained in this paper looks physically reasonable since the velocities of waves are changed accordingly with the acceleration. |
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Keywords: | Balance laws Delta shocks Shadow waves Pressureless gas dynamics |
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