Article
| Title: | Time regularity of generalized Navier-Stokes equation with $p(x,t)$-power law (English) |
| Author: | Sin, Cholmin |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 4 |
| Year: | 2023 |
| Pages: | 1017-1056 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We show time regularity of weak solutions for unsteady motion equations of generalized Newtonian fluids described by $p(x,t)$-power law for $p(x,t)\geq (3n+2)/(n+2)$, $n\geq 2,$ by using a higher integrability property and fractional difference method. Moreover, as its application we prove that every weak solution to the problem becomes a local in time strong solution and that it is unique. (English) |
| Keyword: | weak solution |
| Keyword: | time regularity |
| Keyword: | generalized Newtonian fluid, variable exponent |
| MSC: | 35D30 |
| MSC: | 35D35 |
| MSC: | 35K92 |
| MSC: | 76A05 |
| idZBL: | Zbl 07790560 |
| DOI: | 10.21136/CMJ.2023.0033-22 |
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| Date available: | 2023-11-23T12:20:24Z |
| Last updated: | 2024-12-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151946 |
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