TY - JOUR
AB - AbstractIn a smoothly bounded two‐dimensional domain and for a given nondecreasing positive unbounded , for each and the inequality
is shown to hold for any positive fulfilling
This is thereafter applied to nonglobal solutions of the Keller–Segel system coupled to the incompressible Navier–Stokes equations through transport and buoyancy, and it is seen that in any such blow‐up event the corresponding population density cannot remain uniformly integrable over near its explosion time.
AU - Wang, Yulan
AU - Winkler, Michael
ID - 53315
IS - 3
JF - Journal of the London Mathematical Society
KW - General Mathematics
SN - 0024-6107
TI - An interpolation inequality involving $L\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system
VL - 109
ER -