Premium
Global classical solutions for chemotaxis‐fluid systems in two dimensions
Author(s) -
Ahn Jaewook,
Kang Kyungkeun,
Yoon Changwook
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6838
Subject(s) - chemotaxis , mathematics , bounded function , mathematical analysis , regular polygon , boundary value problem , boundary (topology) , domain (mathematical analysis) , convex domain , sensitivity (control systems) , slip (aerodynamics) , geometry , physics , thermodynamics , chemistry , receptor , biochemistry , electronic engineering , engineering
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.