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math.AP2025
A parabolic Hardy-Hénon equation with quasilinear degenerate diffusion
Razvan Gabriel Iagar, Philippe Laurençot
Local and global well-posedness, along with finite time blow-up, are investigated for the following Hardy-Hénon equation involving a quasilinear degenerate diffusion and a space-de…
math.AP2024
Global boundedness induced by asymptotically non-degenerate motility in a fully parabolic chemotaxis model with local sensing
Jie Jiang, Philippe Laurençot
A fully parabolic chemotaxis model of Keller-Segel type with local sensing is considered. The system features a signal-dependent asymptotically non-degenerate motility function, wh…
math.AP2021
The porous medium equation as a singular limit of the thin film Muskat problem
Philippe Laurençot, Bogdan-Vasile Matioc
The singular limit of the thin film Muskat problem is performed when the density (and possibly the viscosity) of the lighter fluid vanishes and the porous medium equation is identi…