6 citations · 7 across the 8 of their papers we have counts for
13 papers
A sharpened Carlson's integral inequality
Philippe Laurençot
A sharpened version of Carlson's integral inequality is established, which features a remainder term involving a relative distance to the set of extremal functions. A similar appro…
Global Solutions to the Discrete Nonlinear Breakage Equations without Mass Transfer
Mashkoor Ali, Philippe Laurençot
Global existence of mild solutions to the discrete collisional breakage equations is established for a broad class of collision kernels, without imposing any growth assumptions. In…
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…
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…
Long term spatial homogeneity for a chemotaxis model with local sensing and consumption
Philippe Laurençot
Global weak solutions to a chemotaxis model with local sensing and consumption are shown to converge to spatially homogeneous steady states in the large time limit, when the motili…
Weak-strong uniqueness for a class of degenerate parabolic cross-diffusion systems
Philippe Laurençot, Bogdan-Vasile Matioc
Bounded weak solutions to a particular class of degenerate parabolic cross-diffusion systems are shown to coincide with the unique strong solution determined by the same initial co…
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…