Mostrar el registro sencillo del ítem
A fully nonlinear equation for the flame front in a quasi-steady combustion model
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BRAUNER, Claude-Michel | |
| hal.structure.identifier | Department of Computer Science [Amsterdam] | |
| dc.contributor.author | HULSHOF, Josephus | |
| hal.structure.identifier | Dipartimento di Matematica | |
| dc.contributor.author | LORENZI, Luca | |
| hal.structure.identifier | School of Mathematical Sciences | |
| dc.contributor.author | SIVASHINSKY, G.I. | |
| dc.date.accessioned | 2024-04-04T02:32:54Z | |
| dc.date.available | 2024-04-04T02:32:54Z | |
| dc.date.created | 2009-10-28 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190424 | |
| dc.description.abstractEn | We revisit the Near Equidiffusional Flames (NEF) model introduced by Matkowsky and Sivashinsky in 1979 and consider a simplified, quasi-steady version of it. This simplification allows, near the planar front, an explicit derivation of the front equation. The latter is a pseudodifferential fully nonlinear parabolic equation of the fourth-order. First, we study the (orbital) stability of the null solution. Second, introducing a parameter $\varepsilon$, we rescale both the dependent and independent variables and prove rigourously the convergence to the solution of the Kuramoto-Sivashinsky equation as $\varepsilon \to 0$. | |
| dc.language.iso | en | |
| dc.subject.en | Front dynamics | |
| dc.subject.en | stability | |
| dc.subject.en | Kuramoto-Sivashinsky equation | |
| dc.subject.en | fully nonlinear equations | |
| dc.subject.en | pseudo-differential operators | |
| dc.title.en | A fully nonlinear equation for the flame front in a quasi-steady combustion model | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00426859 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00426859v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BRAUNER,%20Claude-Michel&HULSHOF,%20Josephus&LORENZI,%20Luca&SIVASHINSKY,%20G.I.&rft.genre=preprint |
Archivos en el ítem
| Archivos | Tamaño | Formato | Ver |
|---|---|---|---|
|
No hay archivos asociados a este ítem. |
|||