On Kato's method for Navier--Stokes Equations
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HAAK, Bernhard H. | |
| hal.structure.identifier | INSTITUT FUER ANALYSIS | |
| dc.contributor.author | KUNSTMANN, Peer-Christian | |
| dc.date.accessioned | 2024-04-04T02:53:01Z | |
| dc.date.available | 2024-04-04T02:53:01Z | |
| dc.date.created | 2008-01-17 | |
| dc.date.issued | 2009-12 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192131 | |
| dc.description.abstractEn | We investigate Kato's method for parabolic equations with a quadratic non-linearity in an abstract form. We extract several properties known from linear systems theory which turn out to be the essential ingredients for the method. We give necessary and sufficient conditions for these conditions and provide new and more general proofs, based on real interpolation. In application to the Navier-Stokes equations, our approach unifies several results known in the literature, partly with different proofs. Moreover, we establish new existence and uniqueness results for rough initial data on arbitrary domains in ${\mathbb R}^3$ and irregular domains in ${\mathbb R}^n$. | |
| dc.language.iso | en | |
| dc.title.en | On Kato's method for Navier--Stokes Equations | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00021-008-0270-5 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 0709.2067 | |
| bordeaux.journal | Journal of Mathematical Fluid Dynamics | |
| bordeaux.page | 492-535 | |
| bordeaux.volume | 11 | |
| 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-00281647 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00281647v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Fluid%20Dynamics&rft.date=2009-12&rft.volume=11&rft.issue=4&rft.spage=492-535&rft.epage=492-535&rft.au=HAAK,%20Bernhard%20H.&KUNSTMANN,%20Peer-Christian&rft.genre=article |
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