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http://hdl.handle.net/10397/96583
Title: | Global classical solutions for a class of reaction-diffusion system with density-suppressed motility | Authors: | Lyu, W Wang, ZA |
Issue Date: | 2022 | Source: | Electronic research archive, 2022, v. 30, no. 3, p. 995-1015 | 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. [Abstract not complete, refer to publisher pdf] |
Keywords: | Boundedness Density-suppressed motility Global existence Reaction-diffusion system |
Publisher: | American Institute of Mathematical Sciences | Journal: | Electronic research archive | EISSN: | 2688-1594 | DOI: | 10.3934/era.2022052 | 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) 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. |
Appears in Collections: | Journal/Magazine Article |
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