Navier-Stokes equations in the half-space in variable exponent spaces of Clifford-valued functions
| dc.contributor.author | Niu, Rui | |
| dc.contributor.author | Zheng, Hongtao | |
| dc.contributor.author | Zhang, Binlin | |
| dc.date.accessioned | 2022-04-08T19:58:49Z | |
| dc.date.available | 2022-04-08T19:58:49Z | |
| dc.date.issued | 2017-04-05 | |
| dc.description.abstract | In this article, we study the steady generalized Navier-Stokes equations in a half-space in the setting of variable exponent spaces. We first establish variable exponent spaces of Clifford-valued functions in a half-space. Then, using this operator theory together with the contraction mapping principle, we obtain the existence and uniqueness of solutions to the stationary Navier-Stokes equations and Navier-Stokes equations with heat conduction in a half-space under suitable hypotheses. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Niu, R., Zheng, H., & Zhang, B. (2017). Navier-Stokes equations in the half-space in variable exponent spaces of Clifford-valued functions. <i>Electronic Journal of Differential Equations, 2017</i>(98), pp. 1-21. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15630 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Clifford analysis | |
| dc.subject | Variable exponent | |
| dc.subject | Navier-Stokes equations | |
| dc.subject | Half-space | |
| dc.title | Navier-Stokes equations in the half-space in variable exponent spaces of Clifford-valued functions | |
| dc.type | Article |