Existence of global weak solutions for a two-dimensional Keller-Segel-Navier-Stokes system with porous medium diffusion and rotational flux
| dc.contributor.author | Wang, Lingzhu | |
| dc.contributor.author | Xie, Li | |
| dc.date.accessioned | 2021-10-04T19:18:41Z | |
| dc.date.available | 2021-10-04T19:18:41Z | |
| dc.date.issued | 2020-09-16 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 26 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14601 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Keller-Segel-Navier-Stokes system | |
| dc.subject | Nonlinear diffusion | |
| dc.subject | Tensor-valued sensitivity | |
| dc.subject | Global solution | |
| dc.title | Existence of global weak solutions for a two-dimensional Keller-Segel-Navier-Stokes system with porous medium diffusion and rotational flux | |
| dc.type | Article |