3 papers
math.MG2023
Extending the Wasserstein metric to positive measures
Hugo Leblanc, Thibaut Le Gouic, Jacques Liandrat +1
We define a metric in the space of positive finite positive measures that extends the 2-Wasserstein metric, i.e. its restriction to the set of probability measures is the 2-Wassers…
math.AP2016
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…
math.AP2014
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…