391 citations · 668 across the 36 of their papers we have counts for
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math.AP2011
Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
Michael Winkler
We study the Neumann initial-boundary value problem for the fully parabolic Keller-Segel system u_t=Δu - \nabla \cdot (u\nabla v), \qquad x\inΩ, \ t>0, [1mm] v_t=Δv-v+u, \qquad x\i…
math.AP2011
Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
Youshan Tao, Michael Winkler
We consider the quasilinear parabolic-parabolic Keller-Segel system $$ u_t=\nabla \cdot (D(u)\nabla u) - \nabla \cdot (S(u)\nabla v), \qquad x\inΩ, \ t>0, v_t=Δv -v + u, x\inΩ, \ t…
math.AP2011★ 22 cited
Rate of Convergence to Barenblatt Profiles for the Fast Diffusion Equation
Marek Fila, Juan Luis Vazquez, Michael Winkler +1
We study the asymptotic behaviour of positive solutions of the Cauchy problem for the fast diffusion equation near the extinction time. We find a continuum of rates of convergence…