10 citations · 10 across the 2 of their papers we have counts for
4 papers · 1 filter
Exponential decay for the growth-fragmentation/cell-division equation
Philippe Laurençot, Benoît Perthame
We consider the linear growth-fragmentation equation arising in the modelling of cell division or polymerisation processes. For constant coefficients, we prove that the dynamics co…
A multilayer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and numerical validation
Emmanuel Audusse, Marie-Odile Bristeau, Benoit Perthame +1
The standard multilayer Saint-Venant system consists in introducing fluid layers that are advected by the interfacial velocities. As a consequence there is no mass exchanges betwee…
On the Inverse Problem for a Size-Structured Population Model
Benoit Perthame, Jorge P. Zubelli
We consider a size-structured model for cell division and address the question of determining the division (birth) rate from the measured stable size distribution of the population…
Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity
Benoit Perthame, Luis Vega
We consider the Helmholtz equation with a variable index of refraction , which is not necessarily constant at infinity but can have an angular dependency like $n(x)\to n\_\in…