Existence of global solutions to chemotaxis fluid system with logistic source
- 1 January 2021
- journal article
- research article
- Published by University of Szeged in Electronic Journal of Qualitative Theory of Differential Equations
- No. 53,p. 1-27
- https://doi.org/10.14232/ejqtde.2021.1.53
Abstract
We establish the existence of global solutions and L-q time-decay of a three dimensional chemotaxis system with chemoattractant and repellent. We show the existence of global solutions by the energy method. We also study L-q time-decay for the linear homogeneous system by using Fourier transform and finding Green's matrix. Then, we find L-q time-decay for the nonlinear system using solution representation by Duhamel's principle and time-weighted estimate.Keywords
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