Lingzhu Wang, Li Xie
This article concerns a two-dimensional Keller-Segel-Navier-Stokes system with porous medium diffusion and rotational flux describing the coral fertilization. Based on the Gagliardo-Nerenberg inequality and an energy-type argument, we show that, in the context of the nonlinear diffusions of sperm and eggs with index m>1 and l>0, the corresponding initial-boundary value problem possesses at least one global bounded weak solution.
Submitted January 6, 2020. Published September 16, 2020.
Math Subject Classifications: 35A01, 35K55, 35Q92.
Key Words: Keller-Segel-Navier-Stokes system; nonlinear diffusion; tensor-valued sensitivity; global solution.
Show me the PDF file (385 KB), TEX file for this article.
| Lingzhu Wang |
School of Mathematics & Information
China West Normal University
Nanchong 637002, China
| Li Xie |
School of Mathematical Sciences
Chongqing Normal University
Chongqing 401131, China
Return to the EJDE web page