Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/96214
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Mei, M | en_US |
dc.creator | Peng, H | en_US |
dc.creator | Wang, ZA | en_US |
dc.date.accessioned | 2022-11-14T04:06:56Z | - |
dc.date.available | 2022-11-14T04:06:56Z | - |
dc.identifier.issn | 0022-0396 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/96214 | - |
dc.language.iso | en | en_US |
dc.publisher | Academic Press | en_US |
dc.rights | © 2015 Elsevier Inc. All rights reserved. | en_US |
dc.rights | © 2015. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ | en_US |
dc.rights | The following publication Mei, M., Peng, H., & Wang, Z. A. (2015). Asymptotic profile of a parabolic–hyperbolic system with boundary effect arising from tumor angiogenesis. Journal of Differential Equations, 259(10), 5168-5191 is available at https://doi.org/10.1016/j.jde.2015.06.022. | en_US |
dc.subject | Asymptotic stability | en_US |
dc.subject | Boundary effect | en_US |
dc.subject | Chemotaxis | en_US |
dc.subject | Energy estimates | en_US |
dc.subject | Traveling wave solutions | en_US |
dc.title | Asymptotic profile of a parabolic–hyperbolic system with boundary effect arising from tumor angiogenesis | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 5168 | en_US |
dc.identifier.epage | 5191 | en_US |
dc.identifier.volume | 259 | en_US |
dc.identifier.issue | 10 | en_US |
dc.identifier.doi | 10.1016/j.jde.2015.06.022 | en_US |
dcterms.abstract | This paper concerns a parabolic-hyperbolic system on the half space R+ with boundary effect. The system is derived from a singular chemotaxis model describing the initiation of tumor angiogenesis. We show that the solution of the system subject to appropriate boundary conditions converges to a traveling wave profile as time tends to infinity if the initial data is a small perturbation around the wave which is shifted far away from the boundary but its amplitude can be arbitrarily large. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Journal of differential equations, 15 Nov. 2015, v. 259, no. 10, p. 5168-5191 | en_US |
dcterms.isPartOf | Journal of differential equations | en_US |
dcterms.issued | 2015-11-15 | - |
dc.identifier.scopus | 2-s2.0-84938746675 | - |
dc.identifier.eissn | 1090-2732 | en_US |
dc.description.validate | 202211 bcww | en_US |
dc.description.oa | Accepted Manuscript | en_US |
dc.identifier.FolderNumber | RGC-B3-0232 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.description.oaCategory | Green (AAM) | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Asymptotic_Profile_Parabolic-hyperbolic.pdf | Pre-Published version | 716.69 kB | Adobe PDF | View/Open |
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