6 citations · 7 across the 8 of their papers we have counts for
7 papers · 1 filter
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…
Eternal solutions to a porous medium equation with strong nonhomogeneous absorption. Part II: Dead-core profiles
Razvan Gabriel Iagar, Philippe Laurençot, Ariel Sánchez
Existence of a specific family of \emph{eternal solutions} in exponential self-similar form is proved for the following porous medium equation with strong absorption $$\partial_t u…
The Redner-ben-Avraham-Kahng cluster system without growth condition on the kinetic coefficients
Philippe Laurençot
Existence of global mild solutions to the infinite dimensional Redner--ben-Avraham--Kahng cluster system is shown without growth or structure condition on the kinetic coefficients,…
Well-posedness of the growth-coagulation equation with singular kernels
Ankik Kumar Giri, Philippe Laurençot, Saroj Si
The well-posedness of the growth-coagulation equation is established for coagulation kernels having singularity near the origin and growing atmost linearly at infinity. The existen…
Second order asymptotics and uniqueness for self-similar profiles to a singular diffusion equation with gradient absorption
Razvan Gabriel Iagar, Philippe Laurençot
Solutions in self-similar form presenting finite time extinction to the singular diffusion equation with gradient absorption $$\partial_t u - \mathrm{div}(|\nabla u|^{p-2}\nabla u)…
No pattern formation in a quasilinear chemotaxis model with local sensing
Philippe Laurençot, Ariane Trescases
Convergence to spatially homogeneous steady states is shown for a chemotaxis model with local sensing and possibly nonlinear diffusion when the intrinsic diffusion rate dominat…
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…