@article{Kang2022, 
author = {Kyungkeun Kang and Dongkwang Kim},
title = {Existence of generalized solutions for Keller-Segel-Navier-Stokes equations with degradation in dimension three},
year = {2022},
journal = {Mathematics in Engineering},
volume = {4},
number = {5},
pages = {1-25},
keywords = {chemotaxis, generalized solution, Keller-Segel-Navier-Stokes equations, asymptotic behavior},
url = {https://www.sciopen.com/article/10.3934/mine.2022041},
doi = {10.3934/mine.2022041},
abstract = {We construct generalized solutions for the Keller-Segel system with a degradation source coupled to Navier Stokes equations in three dimensions, in case that the power of degradation is smaller than quadratic. Furthermore, if the logistic type source is purely damping with no growing effect, we prove that solutions converge to zero in some norms and provide upper bounds of convergence rates in time.}
}