18 citations · 19 across the 8 of their papers we have counts for
7 papers · 1 filter
Growth-fragmentation model for a population presenting heterogeneity in growth rate: Malthus parameter and long-time behavior
Anaïs Rat, Magali Tournus
The goal of the present paper is to explore the long-time behavior of the growth-fragmentation equation formulated in the case of equal mitosis and variability in growth rate, unde…
Comparison Between Effective and Individual Growth Rates in a Heterogeneous Population
Marie Doumic, Anaïs Rat, Magali Tournus
Is there an advantage to heterogeneity in a population where individuals grow and divide by fission? This is a broad question, to which there is no easy universal answer. This arti…
An inverse problem: recovering the fragmentation kernel from the short-time behaviour of the fragmentation equation
Marie Doumic, Miguel Escobedo, Magali Tournus
The present paper provides a new representation of the solution to the fragmentation equation as a power series in the Banach space of Radon measures endowed with the total variati…
A Wasserstein norm for signed measures, with application to nonlocal transport equation with source term
Benedetto Piccoli, Francesco Rossi, Magali Tournus
We introduce the optimal transportation interpretation of the Kantorovich norm on thespace of signed Radon measures with finite mass, based on a generalized Wasserstein distancefor…
Estimating the division rate and kernel in the fragmentation equation
Marie Doumic, Miguel Escobedo, Magali Tournus
We consider the fragmentation equation and address the question of estimat…
Flagella bending affects macroscopic properties of bacterial suspensions
Mykhailo Potomkin, Magali Tournus, Leonid Berlyand +1
To survive in harsh conditions, motile bacteria swim in complex environment and respond to the surrounding flow. Here we develop a PDE model describing how the flagella bending aff…
A simple derivation of BV bounds for inhomogeneous relaxation systems
Benoit Perthame, Nicolas Seguin, Magali Tournus
We consider relaxation systems of transport equations with heterogeneous source terms and with boundary conditions, which limits are scalar conservation laws. Classical bounds fail…