27 citations · 34 across the 5 of their papers we have counts for
5 papers · 1 filter
A Sharp Mass Threshold for Boundedness in a Critical Quasilinear Chemotaxis Model With Indirect Signal Production: The Radially Symmetric Case
Philippe Laurençot, Christoph Walker
A critical quasilinear chemotaxis model with indirect signal production in space dimensions higher than two is studied under radial symmetry. Exploiting the variational structure o…
A nonlocal Gray-Scott model: well-posedness and diffusive limit
Philippe Laurençot, Christoph Walker
Well-posedness in of the nonlocal Gray-Scott model is studied for integrable kernels, along with the stability of the semi-trivial spatially homogeneous steady state. In…
Weak compactness techniques and coagulation equations
Philippe Laurençot
Smoluchowski's coagulation equation is a mean-field model describing the growth of clusters by successive mergers. Since its derivation in 1916 it has been studied by several autho…
Uniqueness of mass-conserving self-similar solutions to Smoluchowski's coagulation equation with inverse power law kernels
Philippe Laurençot
Uniqueness of mass-conserving self-similar solutions to Smoluchowski's coagulation equation is shown when the coagulation kernel is given by , $(x,x\_…
Asymptotic Behaviour of a Nonlinear Parabolic Equation with Gradient Absorption and Critical Exponent
Razvan Gabriel Iagar, Philippe Laurençot, Juan Luis Vázquez
We study the large-time behaviour of the solutions of the evolution equation involving nonlinear diffusion and gradient absorption, We…