The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary

Igor Kukavica; Vlad Vicol; Fei Wang

doi:10.1007/s00205-020-01517-3

The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary

Igor Kukavica, Vlad Vicol, Fei Wang

Mathematics

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

Abstract

We address the inviscid limit for the Navier–Stokes equations in a half space, with initial datum that is analytic only close to the boundary of the domain, and that has Sobolev regularity in the complement. We prove that for such data the solution of the Navier–Stokes equations converges in the vanishing viscosity limit to the solution of the Euler equation, on a constant time interval.

Original language	English (US)
Pages (from-to)	779-827
Number of pages	49
Journal	Archive for Rational Mechanics and Analysis
Volume	237
Issue number	2
DOIs	https://doi.org/10.1007/s00205-020-01517-3
State	Published - Aug 1 2020

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

Access to Document

10.1007/s00205-020-01517-3

Cite this

@article{f268cc6d02554a37b2202223d98e6902,

title = "The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary",

abstract = "We address the inviscid limit for the Navier–Stokes equations in a half space, with initial datum that is analytic only close to the boundary of the domain, and that has Sobolev regularity in the complement. We prove that for such data the solution of the Navier–Stokes equations converges in the vanishing viscosity limit to the solution of the Euler equation, on a constant time interval.",

author = "Igor Kukavica and Vlad Vicol and Fei Wang",

note = "Publisher Copyright: {\textcopyright} 2020, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2020",

month = aug,

day = "1",

doi = "10.1007/s00205-020-01517-3",

language = "English (US)",

volume = "237",

pages = "779--827",

journal = "Archive for Rational Mechanics and Analysis",

issn = "0003-9527",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary

AU - Kukavica, Igor

AU - Vicol, Vlad

AU - Wang, Fei

PY - 2020/8/1

Y1 - 2020/8/1

N2 - We address the inviscid limit for the Navier–Stokes equations in a half space, with initial datum that is analytic only close to the boundary of the domain, and that has Sobolev regularity in the complement. We prove that for such data the solution of the Navier–Stokes equations converges in the vanishing viscosity limit to the solution of the Euler equation, on a constant time interval.

AB - We address the inviscid limit for the Navier–Stokes equations in a half space, with initial datum that is analytic only close to the boundary of the domain, and that has Sobolev regularity in the complement. We prove that for such data the solution of the Navier–Stokes equations converges in the vanishing viscosity limit to the solution of the Euler equation, on a constant time interval.

UR - http://www.scopus.com/inward/record.url?scp=85083356099&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85083356099&partnerID=8YFLogxK

U2 - 10.1007/s00205-020-01517-3

DO - 10.1007/s00205-020-01517-3

M3 - Article

AN - SCOPUS:85083356099

SN - 0003-9527

VL - 237

SP - 779

EP - 827

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

IS - 2

ER -

The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this