The Existence of Strong Solution for Generalized Navier-Stokes Equations with px-Power Law under Dirichlet Boundary Conditions
In this note, in 2D and 3D smooth bounded domain, we show the existence of strong solution for generalized Navier-Stokes equation modeling by px-power law with Dirichlet boundary condition under the restriction 3n/n+2n+2<px<2n+1/n−1. In particular, if we neglect the convective term, we get a u...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6755411 |
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| Summary: | In this note, in 2D and 3D smooth bounded domain, we show the existence of strong solution for generalized Navier-Stokes equation modeling by px-power law with Dirichlet boundary condition under the restriction 3n/n+2n+2<px<2n+1/n−1. In particular, if we neglect the convective term, we get a unique strong solution of the problem under the restriction 2n+1/n+3<px<2n+1/n−1, which arises from the nonflatness of domain. |
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| ISSN: | 1687-9139 |