Study of the linear ablation growth rate for the quasi isobaric model of Euler equations with thermal conductivity
| dc.creator | Lafitte, Olivier | |
| dc.date | 2007-07-01 | |
| dc.date.accessioned | 2026-07-07T08:13:17Z | |
| dc.date.available | 2026-07-07T08:13:17Z | |
| dc.description | In this paper, we study a linear system related to the 2d system of Euler equations with thermal conduction in the quasi-isobaric approximation of Kull-Anisimov [14]. This model is used for the study of the ablation front instability, which appears in the problem of inertial confinement fusion. This physical system contains a mixing region, in which the density of the gaz varies quickly, and one denotes by L0 an associated characteristic length. The system of equations is linearized around a stationary solution, and each perturbed quantity is written using the normal modes method. The resulting linear system is not self-adjoint, of order 5, with coefficients depending on x and on physical parameters $α, β$. We calculate Evans function associated with this linear system, using rigorous constructions of decreasing at $\pm \infty$ solutions of systems of ODE. We prove that for $α$ small, there is no bounded solution of the linearized system. | |
| dc.description | Indiana University Mathematical Journal (2007) in press | |
| dc.identifier | https://arxiv.org/abs/0707.0094 | |
| dc.identifier | http://arxiv.org/abs/0707.0094 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132749 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Study of the linear ablation growth rate for the quasi isobaric model of Euler equations with thermal conductivity | |
| dc.type | text |