32 citations · 43 across the 3 of their papers we have counts for
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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.
math.AP2009★ 1 cited
Looking for critical nonlinearity in the one-dimensional quasilinear Smoluchowski-Poisson system
Tomasz Cieślak, Philippe Laurençot
It is known that classical solutions to the one-dimensional quasilinear Smoluchowski-Poisson system with nonlinear diffusion may blow up in finite time if a…
math.AP2009★ 10 cited
Exponential decay for the growth-fragmentation/cell-division equation
Philippe Laurençot, Benoît Perthame
We consider the linear growth-fragmentation equation arising in the modelling of cell division or polymerisation processes. For constant coefficients, we prove that the dynamics co…