Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity
| hal.structure.identifier | Academy of Mathematics and Systems Science [AMSS] | |
| dc.contributor.author | HUANG, Jingchi | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PAICU, Marius | |
| hal.structure.identifier | Academy of Mathematics and Systems Science [AMSS] | |
| dc.contributor.author | ZHANG, Ping | |
| dc.date.accessioned | 2024-04-04T02:17:25Z | |
| dc.date.available | 2024-04-04T02:17:25Z | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 0003-9527 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189227 | |
| dc.description.abstractEn | In this paper, we first prove the global existence of weak solutions to the d-dimensional incompressible inhomogeneous Navier-Stokes equations with initial data $a_0\in L^\infty(\R^d)$, $u_0=(u_0^h,u_0^d)\in {\dot B}^{-1+d/p}_{p,r}(\R^d)$, which satisfy $(\mu\|a_0\|_{L^\infty}+\|u_0\|_{{\dot B}^{-1+d/p}_{p,r}})\exp(C_r\mu^{-2r}\|u_0^d\|^{2r}_{{\dot B}^{-1+d/p}_{p,r}} )\leq c_0\mu$ for some positive constants $c_0, C_r$ and $1 | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00205-013-0624-x | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1212.3917 | |
| bordeaux.journal | Archive for Rational Mechanics and Analysis | |
| bordeaux.page | 631-682 | |
| bordeaux.volume | 209 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00994718 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00994718v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Archive%20for%20Rational%20Mechanics%20and%20Analysis&rft.date=2013&rft.volume=209&rft.issue=2&rft.spage=631-682&rft.epage=631-682&rft.eissn=0003-9527&rft.issn=0003-9527&rft.au=HUANG,%20Jingchi&PAICU,%20Marius&ZHANG,%20Ping&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||