Existence of solutions to steady Navier-Stokes equations via a minimax approach
| dc.contributor.author | Fereidooni, Amin | |
| dc.contributor.author | Moameni, Abbas | |
| dc.contributor.author | Grewal, Anant | |
| dc.date.accessioned | 2023-05-23T19:46:51Z | |
| dc.date.available | 2023-05-23T19:46:51Z | |
| dc.date.issued | 2023-03-07 | |
| dc.description.abstract | Our objective in this paper is to develop and utilize a minimax principle for proving the existence of symmetric solutions for the stationary Navier-Stokes equations. Notwithstanding its application to symmetric solutions in this paper, our minimax principle is broad enough to capture other types of solutions provided the equation and the external force are compatible under a family of operations including but not limited to being invariant by compact groups. The subset of functions compatible under this family of operations is not required to be a linear subspace, and being a closed convex set suffices for our purpose. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Fereidooni, A., Moameni, A., & Grewal, A. (2023). Existence of solutions to steady Navier-Stokes equations via a minimax approach. <i>Electronic Journal of Differential Equations, 2023</i>(26), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16861 | |
| 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, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Navier-Stokes equations | |
| dc.subject | Variational principles | |
| dc.title | Existence of solutions to steady Navier-Stokes equations via a minimax approach | |
| dc.type | Article |