| Title:
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Existence of weak solutions for steady flows of electrorheological fluid with Navier-slip type boundary conditions (English) |
| Author:
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Sin, Cholmin |
| Author:
|
Ri, Sin-Il |
| Language:
|
English |
| Journal:
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Mathematica Bohemica |
| ISSN:
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0862-7959 (print) |
| ISSN:
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2464-7136 (online) |
| Volume:
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147 |
| Issue:
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4 |
| Year:
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2022 |
| Pages:
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567-585 |
| Summary lang:
|
English |
| . |
| Category:
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math |
| . |
| Summary:
|
We prove the existence of weak solutions for steady flows of electrorheological fluids with homogeneous Navier-slip type boundary conditions provided $p(x)>2n/(n+2)$. To prove this, we show Poincaré- and Korn-type inequalities, and then construct Lipschitz truncation functions preserving the zero normal component in variable exponent Sobolev spaces. (English) |
| Keyword:
|
existence of weak solutions |
| Keyword:
|
electrorheological fluid |
| Keyword:
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Lipschitz truncation |
| Keyword:
|
variable exponent |
| MSC:
|
35A23 |
| MSC:
|
35D30 |
| MSC:
|
46E30 |
| MSC:
|
46E35 |
| MSC:
|
76A05 |
| MSC:
|
76D03 |
| idZBL:
|
Zbl 07655827 |
| idMR:
|
MR4512174 |
| DOI:
|
10.21136/MB.2022.0200-20 |
| . |
| Date available:
|
2022-11-16T11:19:34Z |
| Last updated:
|
2023-04-11 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151099 |
| . |
| Reference:
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