Existence of global weak solutions for a two-dimensional Keller-Segel-Navier-Stokes system with porous medium diffusion and rotational flux
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 spe...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2020-09-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2020/94/abstr.html |
Summary: | 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. |
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ISSN: | 1072-6691 |