GLOBAL EXISTENCE AND DECAY OF SOLUTIONS TO PRANDTL SYSTEM WITH SMALL ANALYTIC DATA
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PAICU, Marius | |
| hal.structure.identifier | Academy of Mathematics and Systems Science and Hua Loo-Keng Key Laboratory of Mathematics | |
| dc.contributor.author | ZHANG, Ping | |
| dc.date.accessioned | 2024-04-04T02:55:45Z | |
| dc.date.available | 2024-04-04T02:55:45Z | |
| dc.date.issued | 2021 | |
| dc.identifier.issn | 0003-9527 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192394 | |
| dc.description.abstractEn | In this paper, we prove the global existence and the large time decay estimate of solutions to Prandtl system with small initial data, which is analytical in the tangential variable. The key ingredient used in the proof is to derive sufficiently fast decay-in-time estimate of some weighted analytic energy estimate to a quantity, which consists of a linear combination of the tangential velocity with its primitive one, and which basically controls the evolution of the analytical radius to the solutions. Our result can be viewed as a global-in-time Cauchy-Kowalevsakya result for Prandtl system with small analytical data. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | Prandtl system | |
| dc.subject.en | Littlewood-Paley theory | |
| dc.subject.en | analytic energy estimate | |
| dc.title.en | GLOBAL EXISTENCE AND DECAY OF SOLUTIONS TO PRANDTL SYSTEM WITH SMALL ANALYTIC DATA | |
| dc.type | Article de revue | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| bordeaux.journal | Archive for Rational Mechanics and Analysis | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02500461 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02500461v1 | |
| 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=2021&rft.eissn=0003-9527&rft.issn=0003-9527&rft.au=PAICU,%20Marius&ZHANG,%20Ping&rft.genre=article |
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