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.
|Journal||Mathematics In Engineering|
|Publication status||Published - 2022|
Bibliographical noteFunding Information:
K. Kang is partially supported by NRF-2019R1A2C1084685 and NRF-2015R1A5A1009350. Kim is supported by NRF-2019R1A2C1084685.
© 2022 the Author(s),
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Mathematical Physics