학술논문
Global well-posedness for the 2D chemotaxis-fluid system with logistic source.
Document Type
Article
Author
Source
Subject
*MATHEMATICAL logic
*CHEMOTAXIS
*
Language
ISSN
0003-6811
Abstract
In this paper, the two-dimensional incompressible chemotaxis fluid with logical source is studied as following: n t + u ⋅ ∇ n = Δ n − ∇ ⋅ (n ∇ c) + n − n 2 , c t + u ⋅ ∇ c = Δ c − n c , u t + u ⋅ ∇ u + ∇ P = Δ u − n ∇ φ , ∇ ⋅ u = 0. By taking advantage of a coupling structure of the equations and using a scale decomposition technique, the global existence and uniqueness of weak solutions to the above system for a large class of initial data is obtained. [ABSTRACT FROM AUTHOR]