On a 2D transmission problem with singularity at the interface modeling autoignition of reactive jets
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BRAUNER, Claude-Michel | |
| hal.structure.identifier | Tongji University | |
| dc.contributor.author | SHANG, Peipei | |
| hal.structure.identifier | Tongji University | |
| dc.contributor.author | ZHANG, Linwan | |
| dc.date.accessioned | 2024-04-04T02:30:38Z | |
| dc.date.available | 2024-04-04T02:30:38Z | |
| dc.date.created | 2023-08-26 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190261 | |
| dc.description.abstractEn | We consider a traveling wave solution of a 2D transmission problem across the y− axis modeling autoignition of reactive jets, a limiting version corresponding to large heat loss of a model discussed in [6]. A jump of the normal derivative generates a singularity at the origin. We construct an explicit solution to a problem in distributional sense that verifies the transmission system and closely examine the properties of the solution near the singularity. Using the Implicit Function Theorem, we study the level sets, especially the one through the origin. Numerical computations show consistency with our theoretical results. | |
| dc.language.iso | en | |
| dc.subject.en | Transmission problem | |
| dc.subject.en | Fixed interface | |
| dc.subject.en | Traveling waves | |
| dc.subject.en | Singularity | |
| dc.subject.en | Fundamental solution | |
| dc.subject.en | Bessel functions | |
| dc.subject.en | Autoignition | |
| dc.title.en | On a 2D transmission problem with singularity at the interface modeling autoignition of reactive jets | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math] | |
| 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-04188716 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04188716v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BRAUNER,%20Claude-Michel&SHANG,%20Peipei&ZHANG,%20Linwan&rft.genre=preprint |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||