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5 papers · 2 filters
Scaling limit of a discrete prion dynamics model
Marie Doumic, Thierry Goudon, Thomas Lepoutre
This paper investigates the connection between discrete and continuous models describing prion proliferation. The scaling parameters are interpreted on biological grounds and we es…
Eigenelements of a General Aggregation-Fragmentation Model
Marie Doumic-Jauffret, Pierre Gabriel
We consider a linear integro-differential equation which arises to describe both aggregation-fragmentation processes and cell division. We prove the existence of a solution $(\lb,\…
Effective dynamics using conditional expectations
Frederic Legoll, Tony Lelievre
The question of coarse-graining is ubiquitous in molecular dynamics. In this article, we are interested in deriving effective properties for the dynamics of a coarse-grained variab…
Control and Stabilization of the Korteweg-de Vries Equation on a Periodic Domain
Camille Laurent, Lionel Rosier, Bing-Yu Zhang
This paper aims at completing an earlier work of Russell and Zhang to study internal control problems for the distributed parameter system described by the Korteweg-de Vries equati…
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…