Formation of singularities in one-dimensional Chaplygin gas (Q2929927)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Formation of singularities in one-dimensional Chaplygin gas |
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Formation of singularities in one-dimensional Chaplygin gas (English)
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17 November 2014
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linearly degenerate characteristics
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delta-type singularity
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isentropic Chaplygin gas
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cusp-type singularities
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The authors consider the one-dimensional quasilinear Euler system with degenerate characteristics for isentropic Chaplygin gas and describe formation and propagation of singularities. Formation of cusp-type singularities is studied in detail. The delta-type solution is introduced and a few examples are constructed: in a delta-type solution the density becomes infinite in the blowup point. The behaviour of solution near the blowup point is described.
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