ABSTRACT
In this paper, the two-dimensional incompressible chemotaxis fluid with logical source is studied as following:
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.
Acknowledgments
Q. Zhang was partially supported by the National Natural Science Foundation of China [grant number 11501160 and 11771423]; Natural Science Foundation of Hebei Province [grant number A2017201144 and A2018201109]; Young Talents Foundation of Hebei Education Department [grant number BJ2017058]; Outstanding Youth Foundation of Hebei University [grant number 2015JQ01]; Research and Practice of Reform in Higher Education and Teaching Foundation of Hebei Province [grant number 2018GJJG012]; the Second Batch of Young Talents of Hebei Province.
Disclosure statement
No potential conflict of interest was reported by the authors.