Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PAICU, Marius | |
| dc.contributor.author | ZARNESCU, Arghir | |
| dc.date.accessioned | 2024-04-04T02:17:23Z | |
| dc.date.available | 2024-04-04T02:17:23Z | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 0003-9527 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189224 | |
| dc.description.abstractEn | We study a complex non-Newtonian fluid that models the flowof nematic liquid crystals. The fluid is described by a system that couples a forced Navier-Stokes system with a parabolic-type system. We prove the existence of global weak solutions in dimensions two and three.We show the existence of a Lyapunov functional for the smooth solutions of the coupled system and use cancellations that allow its existence to prove higher global regularity in dimension two. We also show the weak-strong uniqueness in dimension two. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00205-011-0443-x | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1001.1032 | |
| bordeaux.journal | Archive for Rational Mechanics and Analysis | |
| bordeaux.page | 45-67 | |
| bordeaux.volume | 203 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00994722 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00994722v1 | |
| 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=2012&rft.volume=203&rft.issue=1&rft.spage=45-67&rft.epage=45-67&rft.eissn=0003-9527&rft.issn=0003-9527&rft.au=PAICU,%20Marius&ZARNESCU,%20Arghir&rft.genre=article |
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