28 citations · 51 across the 13 of their papers we have counts for
3 papers · 2 filters
Entropy, Duality and Cross Diffusion
Laurent Desvillettes, Thomas Lepoutre, Ayman Moussa
This paper is devoted to the use of the entropy and duality methods for the existence theory of reaction-cross diffusion systems consisting of two equations, in any dimension of sp…
Cell polarisation model : the 1D case
Thomas Lepoutre, Nicolas Meunier, Nicolas Muller
We study the dynamics of a one-dimensional non-linear and non-local drift-di usion equation set in the half-line, with the coupling involving the trace value on the boundary. The i…
Discrete limit and monotonicity properties of the Floquet eigenvalue in an age structured cell division cycle model
Stéphane Gaubert, Thomas Lepoutre
We consider a cell population described by an age-structured partial differential equation with time periodic coefficients. We assume that division only occurs after a minimal age…