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- W2766264865 abstract "We consider a parabolic-elliptic chemotaxis system generalizing [ begin{cases}begin{split} & u_t=nablacdot((u+1)^{m-1}nabla u)-nabla cdot(u(u+1)^{sigma-1}nabla v) & 0 = Delta v - v + u end{split}end{cases} ] in bounded smooth domains $Omegasubset mathbb{R}^N$, $Nge 3$, and with homogeneous Neumann boundary conditions. We show that *) solutions are global and bounded if ${sigma}<m-frac{N-2}N$ *) solutions are global if $sigma le 0$ *) close to given radially symmetric functions there are many initial data producing unbounded solutions if $sigma >m-frac{N-2}N$. In particular, if ${sigma}le 0$ and $sigma > m-frac{N-2}N$, there are many initial data evolving into solutions that blow up after infinite time." @default.
- W2766264865 created "2017-11-10" @default.
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- W2766264865 date "2017-10-25" @default.
- W2766264865 modified "2023-09-27" @default.
- W2766264865 title "Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system" @default.
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