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Global classical solutions for chemotaxis-fluid systems in two dimensions
- Authors
- Ahn, Jaewook; Kang, Kyungkeun; Yoon, Changwook
- Issue Date
- 30-Jan-2021
- Publisher
- WILEY
- Keywords
- chemotaxis-fluid system; classical solution; global existence
- Citation
- MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v.44, no.2, pp 2254 - 2264
- Pages
- 11
- Indexed
- SCIE
SCOPUS
- Journal Title
- MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Volume
- 44
- Number
- 2
- Start Page
- 2254
- End Page
- 2264
- ISSN
- 0170-4214
1099-1476
- Abstract
- We study a two-dimensional chemotaxis-fluid system in a bounded convex domain with smooth boundary under no-flux boundary conditions for bacterial density and oxygen concentration and no-slip boundary condition for fluid velocity. A global existence result of classical solutions is established for large initial data with possibly singular chemotactic sensitivity and super-linear consumption rate.
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Related Researcher
- Ahn, Jae Wook
- College of Natural Science (Department of Mathematics)