Gevrey regularity for the Navier–Stokes in a half-space

Guher Camliyurt; Igor Kukavica; Vlad Vicol

doi:10.1016/j.jde.2018.05.026

Gevrey regularity for the Navier–Stokes in a half-space

Guher Camliyurt, Igor Kukavica, Vlad Vicol

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We consider the Navier–Stokes equations posed on the half space, with Dirichlet boundary conditions. We give a direct energy-based proof for the instantaneous space–time analyticity and Gevrey-class regularity of the solution, uniformly up to the boundary of the half space.

Original language	English (US)
Pages (from-to)	4052-4075
Number of pages	24
Journal	Journal of Differential Equations
Volume	265
Issue number	9
DOIs	https://doi.org/10.1016/j.jde.2018.05.026
State	Published - Nov 5 2018
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

Bounded domain
Gevrey regularity
Navier–Stokes equations
Real analyticity

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10.1016/j.jde.2018.05.026

Cite this

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title = "Gevrey regularity for the Navier–Stokes in a half-space",

abstract = "We consider the Navier–Stokes equations posed on the half space, with Dirichlet boundary conditions. We give a direct energy-based proof for the instantaneous space–time analyticity and Gevrey-class regularity of the solution, uniformly up to the boundary of the half space.",

keywords = "Bounded domain, Gevrey regularity, Navier–Stokes equations, Real analyticity",

author = "Guher Camliyurt and Igor Kukavica and Vlad Vicol",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2018",

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T1 - Gevrey regularity for the Navier–Stokes in a half-space

AU - Camliyurt, Guher

AU - Kukavica, Igor

AU - Vicol, Vlad

PY - 2018/11/5

Y1 - 2018/11/5

N2 - We consider the Navier–Stokes equations posed on the half space, with Dirichlet boundary conditions. We give a direct energy-based proof for the instantaneous space–time analyticity and Gevrey-class regularity of the solution, uniformly up to the boundary of the half space.

AB - We consider the Navier–Stokes equations posed on the half space, with Dirichlet boundary conditions. We give a direct energy-based proof for the instantaneous space–time analyticity and Gevrey-class regularity of the solution, uniformly up to the boundary of the half space.

KW - Bounded domain

KW - Gevrey regularity

KW - Navier–Stokes equations

KW - Real analyticity

UR - https://www.scopus.com/pages/publications/85048491140

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M3 - Article

AN - SCOPUS:85048491140

SN - 0022-0396

VL - 265

SP - 4052

EP - 4075

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 9

ER -

Gevrey regularity for the Navier–Stokes in a half-space

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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