2 problems

Let $u$ be a radially symmetric solution of the parabolic-elliptic Keller–Segel system in two spatial dimensions that blows up at a finite time. Nanjundiah's conjecture. The densit…

Let $u_\infty(x,y)=|x|^{4/3}-|y|^{4/3}$ be the Aronsson solution, let $\mathcal{O}$ be the square shown in the corresponding numerical experiment, and let $x_0,x_1,x_2,x_3$ denote…