71 citations · 460 across the 61 of their papers we have counts for
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math.AP2009★ 11 cited
Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion
Adrien Blanchet, Philippe Laurencot
For a specific choice of the diffusion, the parabolic-elliptic Patlak-Keller-Segel system with non-linear diffusion (also referred to as the quasi-linear Smoluchowski-Poisson equat…
math.AP2009
Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton-Jacobi equation
Guy Barles, Philippe Laurençot, Christian Stinner
Convergence to a single steady state is shown for non-negative and radially symmetric solutions to a diffusive Hamilton-Jacobi equation with homogeneous Dirichlet boundary conditio…
math.AP2009★ 32 cited
Blowup of solutions to a diffusive aggregation model
Piotr Biler, Grzegorz Karch, Philippe Laurençot
The nonexistence of global in time solutions is studied for a class of aggregation equations involving Lévy diffusion operators and general interaction kernels.