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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-d…
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.AP2024
Singular limit of a chemotaxis model with indirect signal production and phenotype switching
Philippe Laurençot, Christian Stinner
Convergence of solutions to a partially diffusive chemotaxis system with indirect signal production and phenotype switching is shown in a two-dimensional setting when the switching…