Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/96583
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | - |
dc.creator | Lyu, W | en_US |
dc.creator | Wang, ZA | en_US |
dc.date.accessioned | 2022-12-07T02:55:30Z | - |
dc.date.available | 2022-12-07T02:55:30Z | - |
dc.identifier.uri | http://hdl.handle.net/10397/96583 | - |
dc.language.iso | en | en_US |
dc.publisher | American Institute of Mathematical Sciences | en_US |
dc.rights | © 2022 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0) | en_US |
dc.rights | The following publication Lyu, W., & Wang, Z. A. (2022). Global classical solutions for a class of reaction-diffusion system with density-suppressed motility. Electronic Research Archive, 30(3), 995-1015 is available at https://doi.org/10.3934/era.2022052. | en_US |
dc.subject | Boundedness | en_US |
dc.subject | Density-suppressed motility | en_US |
dc.subject | Global existence | en_US |
dc.subject | Reaction-diffusion system | en_US |
dc.title | Global classical solutions for a class of reaction-diffusion system with density-suppressed motility | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 995 | en_US |
dc.identifier.epage | 1015 | en_US |
dc.identifier.volume | 30 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.doi | 10.3934/era.2022052 | en_US |
dcterms.abstract | This paper is concerned with a class of reaction-diffusion system with density-suppressed motility (Formula Presented) under homogeneous Neumann boundary conditions in a smooth bounded domain Ω ⊂ Rn (n ≤ 2), where α > 0 and D > 0 are constants. The random motility function γ satisfies (Formula Presented) The intake rate function F satisfies F ε C1([0, +∞)), F(0) = 0 and F > 0 on (0, +∞). We show that the above system admits a unique global classical solution for all non-negative initial data u0 ∈ W1,∞(Ω), v0 ∈ W1,∞(Ω), w0 ∈ W1,∞(Ω). Moreover, if there exist k > 0 and (Formula Presented) such that (Formula Presented), then the global solution is bounded uniformly in time. | - |
dcterms.abstract | [Abstract not complete, refer to publisher pdf] | - |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Electronic research archive, 2022, v. 30, no. 3, p. 995-1015 | en_US |
dcterms.isPartOf | Electronic research archive | en_US |
dcterms.issued | 2022 | - |
dc.identifier.scopus | 2-s2.0-85126830133 | - |
dc.identifier.eissn | 2688-1594 | en_US |
dc.description.validate | 202212 bckw | - |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | OA_Scopus/WOS | - |
dc.description.pubStatus | Published | en_US |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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10.3934_era.2022052.pdf | 612.21 kB | Adobe PDF | View/Open |
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