A parabolic-elliptic system of drift-diffusion type in $\mathbb{R}^2$ for the subcritical case (Mathematical Analysis in Fluid and Gas Dynamics)
Toshitaka Nagai · Institutional Repositories DataBase (IRDB) · 2012
We consider the Cauchy problem of a parabolic-elliptic system in $\mathbb{R}^{2}$ , which is a mathematical model of chemotaxis.We review the application of rearrangements to the Cauchy problem with subcritical mass, that is, the total mass is less than $8\pi$ .