RELAXATION OF EULER EQUATIONS AND HYDRODYNAMIC INSTABILITIES
We present a relaxed version of incompressible Euler equations that permits foliated flows involving two velocities. These relaxed equations allow a two-phase evolution of some vortex sheets as an alternative to discontinuous solutions of Euler equations. In the case of two perfect fluids of differe...
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| Veröffentlicht in: | Quarterly of applied mathematics 1992-06, Vol.50 (2), p.235-255 |
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| container_title | Quarterly of applied mathematics |
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| creator | DUCHON, JEAN ROBERT, RAOUL |
| description | We present a relaxed version of incompressible Euler equations that permits foliated flows involving two velocities. These relaxed equations allow a two-phase evolution of some vortex sheets as an alternative to discontinuous solutions of Euler equations. In the case of two perfect fluids of different densities superposed one over the other, we show that this relaxation process yields a linearly well-posed two-phase solution. |
| doi_str_mv | 10.1090/qam/1162274 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0033-569X |
| ispartof | Quarterly of applied mathematics, 1992-06, Vol.50 (2), p.235-255 |
| issn | 0033-569X 1552-4485 |
| language | eng |
| recordid | cdi_crossref_primary_10_1090_qam_1162274 |
| source | American Mathematical Society Publications (Freely Accessible); JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; American Mathematical Society Journals; EZB-FREE-00999 freely available EZB journals |
| subjects | Analytics Cauchy problem Conservation equations Curl Euler equations Exact sciences and technology Flow velocity Fluid dynamics Fundamental areas of phenomenology (including applications) General theory Kinetic energy Mathematics Physics Velocity distribution Vortex sheets |
| title | RELAXATION OF EULER EQUATIONS AND HYDRODYNAMIC INSTABILITIES |
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