Renormalized solutions to a chemotaxis system with consumption of chemoattractant
| dc.contributor.author | Wang, Hengling | |
| dc.contributor.author | Li, Yuxiang | |
| dc.date.accessioned | 2021-11-01T20:09:39Z | |
| dc.date.available | 2021-11-01T20:09:39Z | |
| dc.date.issued | 2019-03-11 | |
| dc.description.abstract | This article concerns the high-dimensional chemotaxis system with consumption of chemoattractant ut = ∆u - ∇ ∙ (u∇v), vt = ∆v - uv, under homogeneous boundary conditions of Neumann type, in a bounded domain Ω ⊂ ℝn (n ≥ 4) with smooth boundary. We prove that if the initial data satisfy u0 ∈ C0(Ω̅) and v0 ∈ W1,q(Ω) for some q > n, this model possesses at least one global renormalized solution. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, H., & Li, Y. (2019). Renormalized solutions to a chemotaxis system with consumption of chemoattractant. <i>Electronic Journal of Differential Equations, 2019</i>(38), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14747 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Keller-Segel model | |
| dc.subject | Renormalized solutions | |
| dc.subject | Entropy method | |
| dc.title | Renormalized solutions to a chemotaxis system with consumption of chemoattractant | |
| dc.type | Article |