Well-posedness of weak solutions to electrorheological fluid equations with degeneracy on the boundary
| dc.contributor.author | Zhan, Huashui | |
| dc.contributor.author | Wen, Jie | |
| dc.date.accessioned | 2022-03-16T20:18:10Z | |
| dc.date.available | 2022-03-16T20:18:10Z | |
| dc.date.issued | 2017-01-12 | |
| dc.description.abstract | In this article we study the electrorheological fluid equation ut = div(ρα|∇u|p(x)-2∇u), where ρ(x) = dist(x, ∂Ω) is the distance from the boundary, p(x) ∈ C1(Ω̅), and p¯ = min x∈Ω̅p(x) > 1. We show how the degeneracy of ρα on the boundary affects the well-posedness of the weak solutions. In particular, the local stability of the weak solutions is established without any boundary value condition. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhan, H., & Wen, J. (2017). Well-posedness of weak solutions to electrorheological fluid equations with degeneracy on the boundary. <i>Electronic Journal of Differential Equations, 2017</i>(13), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15518 | |
| 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 | Electrorheological fluid equation | |
| dc.subject | Boundary degeneracy | |
| dc.subject | Holder's inequality | |
| dc.subject | Local stability | |
| dc.title | Well-posedness of weak solutions to electrorheological fluid equations with degeneracy on the boundary | |
| dc.type | Article |