71 citations · 460 across the 61 of their papers we have counts for
75 papers
Sharp non-existence threshold for a parabolic Hardy-H{é}non equation with quasilinear diffusion
Razvan Gabriel Iagar, Philippe Laurençot
Optimal conditions for initial data leading to non-existence of non-negative solutions to the Cauchy problem for the parabolic Hardy-H{é}non equation $$ \partial\_tu=Δu^m+|x|^σu^p,…
Global bounded classical solutions to a parabolic-elliptic chemotaxis model with local sensing and asymptotically unbounded motility
Jie Jiang, Philippe Laurençot
Global existence and boundedness of classical solutions are shown for a parabolic-elliptic chemotaxis system with local sensing when the motility function is assumed to be unbounde…
Well-posedness to the discrete collision-induced breakage equation and various properties of solutions
Mashkoor Ali, Ankik Kumar Giri, Philippe Laurencot
A discrete version of the nonlinear collision-induced breakage equation is studied. Existence of solutions is investigated for a broad class of unbounded collision kernels and daug…
Stationary states to a free boundary transmission problem for an electrostatically actuated plate
Philippe Laurençot, Christoph Walker
A two-dimensional free boundary transmission problem arising in the modeling of an electrostatically actuated plate is considered and a representation formula for the derivative of…
Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption
Jie Jiang, Philippe Laurençot, Yanyan Zhang
Well-posedness and uniform-in-time boundedness of classical solutions are investigated for a three-component parabolic system which describes the dynamics of a population of cells…
The fragmentation equation with size diffusion: Well-posedness and long-term behavior
Philippe Laurençot, Christoph Walker
The dynamics of the fragmentation equation with size diffusion is investigated when the size ranges in (0, ). The associated linear operator involves three terms and can be…