Article ID Journal Published Year Pages File Type
7222067 Nonlinear Analysis: Real World Applications 2018 20 Pages PDF
Abstract
In this paper, we investigate the temporal decay for the three-dimensional coupled chemotaxis-fluid equations with low regularity assumptions on initial data in homogeneous Besov spaces. By using the Fourier splitting argument, we establish two weighted energy inequalities, which show that certain weighted negative Besov norms of solutions are preserved along time evolution. Combining such scaled energy estimates and the interpolation in Besov norms, we obtain the optimal decay rates of global solutions by solving an ordinary differential inequality.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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