TY - JOUR
T1 - A COUPLED KELLER-SEGEL-STOKES MODEL: GLOBAL EXISTENCE FOR SMALL INITIAL DATA AND BLOW-UP DELAY
AU - Lorz, Alexander
N1 - KAUST Repository Item: Exported on 2021-09-17
Acknowledged KAUST grant number(s): KUK-I1-007-43
Acknowledgements: King Abdullah University of Science & Technology.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2012
Y1 - 2012
N2 - We study a system consisting of the elliptic-parabolic Keller-Segel equations coupled to Stokes equations by transport and gravitational forcing. We show global-in-time existence of solutions for small initial mass in 2D. In 3D we establish global existence assuming that the initial L(3/2)-norm is small. Moreover, we give numerical evidence that for this extension of the Keller-Segel system in 2D, solutions exist with mass above 8 pi, which is the critical mass for the system without fluid.
AB - We study a system consisting of the elliptic-parabolic Keller-Segel equations coupled to Stokes equations by transport and gravitational forcing. We show global-in-time existence of solutions for small initial mass in 2D. In 3D we establish global existence assuming that the initial L(3/2)-norm is small. Moreover, we give numerical evidence that for this extension of the Keller-Segel system in 2D, solutions exist with mass above 8 pi, which is the critical mass for the system without fluid.
UR - http://hdl.handle.net/10754/671270
UR - http://www.intlpress.com/site/pub/pages/journals/items/cms/content/vols/0010/0002/a007/
UR - http://www.scopus.com/inward/record.url?scp=84855515329&partnerID=8YFLogxK
U2 - 10.4310/cms.2012.v10.n2.a7
DO - 10.4310/cms.2012.v10.n2.a7
M3 - Article
SN - 1539-6746
VL - 10
SP - 555
EP - 574
JO - COMMUNICATIONS IN MATHEMATICAL SCIENCES
JF - COMMUNICATIONS IN MATHEMATICAL SCIENCES
IS - 2
ER -