LOCAL EXISTENCE IN FREE INTERFACE PROBLEMS WITH UNDERLYING SECOND-ORDER STEFAN CONDITION
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BRAUNER, Claude-Michel | |
| dc.contributor.author | LORENZI, Luca | |
| dc.date.accessioned | 2024-04-04T02:55:24Z | |
| dc.date.available | 2024-04-04T02:55:24Z | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 0035-3965 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192360 | |
| dc.description.abstractEn | In this survey we consider free interface problems that do not fall within the class of Stefan problems, as there is no specific condition on the velocity of the interface. At least near some equilibrium, we are able to associate the velocity to a combination of spatial derivatives up to the second order that we define as a second-order Stefan condition. Then, we may reformulate the system as a fully nonlinear problem, for which it holds local in time existence and uniqueness. | |
| dc.language.iso | en | |
| dc.publisher | Editura Academiei Române | |
| dc.subject.en | AMS 2010 Subject Classification: 35R35 | |
| dc.subject.en | 35A01 | |
| dc.subject.en | 35R37 | |
| dc.subject.en | 80A22 | |
| dc.subject.en | 80A25 Key words: Free interface problems | |
| dc.subject.en | fully nonlinear problems | |
| dc.subject.en | combustion | |
| dc.subject.en | local in time existence and uniqueness | |
| dc.title.en | LOCAL EXISTENCE IN FREE INTERFACE PROBLEMS WITH UNDERLYING SECOND-ORDER STEFAN CONDITION | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Revue roumaine de mathématiques pures et appliquées | |
| bordeaux.page | 339-359 | |
| bordeaux.volume | 63 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02506763 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02506763v1 | |
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