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 | |
| Publication status | Published - 2017 Nov 1 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
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Existence of suitable weak solutions to the Navier–Stokes equations in time varying domains. / Choe, Hi Jun; Jang, Yunsoo; Yang, Minsuk.
In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 163, 01.11.2017, p. 163-176.Research output: Contribution to journal › Article
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 - 2017/11/1
Y1 - 2017/11/1
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 -