GLOBAL WELL-POSEDNESS AND LONG TIME BEHAVIORS OF CHEMOTAXIS-FLUID SYSTEM MODELING CORAL FERTILIZATIONopen access
- Authors
- Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon
- Issue Date
- Apr-2020
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- Chemotaxis; global well-posedness; reaction; diffusion; biomixing
- Citation
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.40, no.4, pp 2135 - 2163
- Pages
- 29
- Journal Title
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
- Volume
- 40
- Number
- 4
- Start Page
- 2135
- End Page
- 2163
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/38149
- DOI
- 10.3934/dcds.2020109
- ISSN
- 1078-0947
1553-5231
- Abstract
- We consider generalized models on coral broadcast spawning phenomena involving diffusion, advection, chemotaxis, and reactions when egg and sperm densities are different. We prove the global-in-time existence of the regular solutions of the models as well as their temporal decays in two and three dimensions. We also show that the total masses of egg and sperm density have positive lower bounds as time tends to infinity in three dimensions.
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- Appears in
Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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