Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895681 | Journal of Geometry and Physics | 2014 | 13 Pages |
Abstract
In this paper, we investigate the formation and propagation of singularities for the system for one-dimensional Chaplygin gas, which is described by a quasilinear hyperbolic system with linearly degenerate characteristic fields. The phenomena of concentration and the formation of “δδ-shock” waves are identified and analyzed systematically for this system under suitably large initial data. In contrast to the Rankine–Hugoniot conditions for classical shock, the generalized Rankine–Hugoniot conditions for “δδ-shock” waves are established. Finally, it is shown that the total mass and momentum related to the solution are independent of time.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
De-Xing Kong, Changhua Wei,