Existence and asymptotic behavior of global solutions to chemorepulsion systems with nonlinear sensitivity
| dc.contributor.author | Lai, Yulin | |
| dc.contributor.author | Xiao, Youjun | |
| dc.date.accessioned | 2022-08-08T19:07:57Z | |
| dc.date.available | 2022-08-08T19:07:57Z | |
| dc.date.issued | 2017-10-10 | |
| dc.description.abstract | This article concerns the chemorepulsion system with nonlinear sensitivity and nonlinear secretion ut = ∆u + ∇ ∙ (χum∇v), x ∈ Ω, t > 0, 0 = ∆v - v + uα, x x ∈ Ω, t > 0, under homogeneous Neumann boundary conditions, where χ > 0, m > 0, α > 0, Ω ⊂ ℝn is a bounded domain with smooth boundary. The existence and uniform boundedness of a classical global solutions are obtained. Furthermore, it is shown that for any given u0, if α > m or α ≥ 1, the corresponding solution (u, v) converges to (ū0, ūα0) as time goes to infinity, where ū0 ≔ 1/|Ω| ∫Ω u0dx. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Lai, Y., & Xiao, Y. (2017). Existence and asymptotic behavior of global solutions to chemorepulsion systems with nonlinear sensitivity. <i>Electronic Journal of Differential Equations, 2017</i>(254), pp. 1-9. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16048 | |
| 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 | Chemotaxis | |
| dc.subject | Repulsion | |
| dc.subject | Nonlinear sensitivity | |
| dc.subject | Global solution | |
| dc.subject | Asymptotic behavior | |
| dc.title | Existence and asymptotic behavior of global solutions to chemorepulsion systems with nonlinear sensitivity | |
| dc.type | Article |