Global $BV$ Solutions for the P -System with Frictional Damping
We construct global $BV$ solutions to the Cauchy problem for the damped $p$-system, under initial data with distinct end-states. The solution will be realized as a perturbation of its asymptotic profile, in which the specific volume satisfies the porous media equation and the velocity obeys the clas...
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| Veröffentlicht in: | SIAM journal on mathematical analysis 2009-01, Vol.41 (3), p.1190-1205 |
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| container_title | SIAM journal on mathematical analysis |
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| creator | Dafermos, Constantine M. Pan, Ronghua |
| description | We construct global $BV$ solutions to the Cauchy problem for the damped $p$-system, under initial data with distinct end-states. The solution will be realized as a perturbation of its asymptotic profile, in which the specific volume satisfies the porous media equation and the velocity obeys the classical Darcy law for gas flow through a porous medium. |
| doi_str_mv | 10.1137/080735126 |
| format | Article |
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| identifier | ISSN: 0036-1410 |
| ispartof | SIAM journal on mathematical analysis, 2009-01, Vol.41 (3), p.1190-1205 |
| issn | 0036-1410 1095-7154 |
| language | eng |
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| source | SIAM Journals Archive |
| subjects | Applied mathematics Asymptotic properties Cauchy problem Cauchy problems Damping Density Gas flow Gases Law Mathematical analysis Perturbation methods Velocity |
| title | Global $BV$ Solutions for the P -System with Frictional Damping |
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