Existence of suitable weak solutions to the Navier–Stokes equations in time varying domains

Hi Jun Choe; Yunsoo Jang; Minsuk Yang

doi:10.1016/j.na.2017.08.003

Existence of suitable weak solutions to the Navier–Stokes equations in time varying domains

Hi Jun Choe, Yunsoo Jang, Minsuk Yang

Department of Mathematics

Research output: Contribution to journal › Article

Abstract

We consider suitable weak solutions to the Navier–Stokes equations in time varying domains. We develop Schauder theory for the approximate Stokes equations in time varying domains whose solutions satisfy a uniform localized energy estimate including boundary. Existence of suitable weak solutions in time varying domains follows from compactness in Lebesgue and Sobolev spaces.

Original language	English
Pages (from-to)	163-176
Number of pages	14
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	163
DOIs	https://doi.org/10.1016/j.na.2017.08.003
Publication status	Published - 2017 Nov

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Access to Document

10.1016/j.na.2017.08.003

Fingerprint Dive into the research topics of 'Existence of suitable weak solutions to the Navier–Stokes equations in time varying domains'. Together they form a unique fingerprint.

Cite this

Choe, H. J., Jang, Y., & Yang, M. (2017). Existence of suitable weak solutions to the Navier–Stokes equations in time varying domains. Nonlinear Analysis, Theory, Methods and Applications, 163, 163-176. https://doi.org/10.1016/j.na.2017.08.003

@article{86506b1da1134638a32e1ea1b9d63f22,

title = "Existence of suitable weak solutions to the Navier–Stokes equations in time varying domains",

abstract = "We consider suitable weak solutions to the Navier–Stokes equations in time varying domains. We develop Schauder theory for the approximate Stokes equations in time varying domains whose solutions satisfy a uniform localized energy estimate including boundary. Existence of suitable weak solutions in time varying domains follows from compactness in Lebesgue and Sobolev spaces.",

author = "Choe, {Hi Jun} and Yunsoo Jang and Minsuk Yang",

year = "2017",

month = nov,

doi = "10.1016/j.na.2017.08.003",

language = "English",

volume = "163",

pages = "163--176",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Existence of suitable weak solutions to the Navier–Stokes equations in time varying domains

AU - Choe, Hi Jun

AU - Jang, Yunsoo

AU - Yang, Minsuk

PY - 2017/11

Y1 - 2017/11

N2 - We consider suitable weak solutions to the Navier–Stokes equations in time varying domains. We develop Schauder theory for the approximate Stokes equations in time varying domains whose solutions satisfy a uniform localized energy estimate including boundary. Existence of suitable weak solutions in time varying domains follows from compactness in Lebesgue and Sobolev spaces.

AB - We consider suitable weak solutions to the Navier–Stokes equations in time varying domains. We develop Schauder theory for the approximate Stokes equations in time varying domains whose solutions satisfy a uniform localized energy estimate including boundary. Existence of suitable weak solutions in time varying domains follows from compactness in Lebesgue and Sobolev spaces.

UR - http://www.scopus.com/inward/record.url?scp=85028524413&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85028524413&partnerID=8YFLogxK

U2 - 10.1016/j.na.2017.08.003

DO - 10.1016/j.na.2017.08.003

M3 - Article

AN - SCOPUS:85028524413

VL - 163

SP - 163

EP - 176

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

ER -