Existence of global weak solutions for a two-dimensional Keller-Segel-Navier-Stokes system with porous medium diffusion and rotational flux
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Date
2020-09-16
Authors
Wang, Lingzhu
Xie, Li
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Keller-Segel-Navier-Stokes system, Nonlinear diffusion, Tensor-valued sensitivity, Global solution
Citation
Wang, L., & Xie, L. (2020). Existence of global weak solutions for a two-dimensional Keller-Segel-Navier-Stokes system with porous medium diffusion and rotational flux. <i>Electronic Journal of Differential Equations, 2020</i>(94), pp. 1-26.
Rights
Attribution 4.0 International