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- École PolytechniqueFR888 papers
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4 papers · 2 filters
Comparison of Perron and Floquet eigenvalues in age structured cell division cycle models
Jean Clairambault, Stéphane Gaubert, Thomas Lepoutre
We study the growth rate of a cell population that follows an age-structured PDE with time-periodic coefficients. Our motivation comes from the comparison between experimental tumo…
On mathematical models for Bose-Einstein condensates in optical lattices (expanded version)
Amandine Aftalion, Bernard Helffer
Our aim is to analyze the various energy functionals appearing in the physics literature and describing the behavior of a Bose-Einstein condensate in an optical lattice. We want to…
The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups
Andrei Agrachev, Ugo Boscain, Jean-Paul Gauthier +1
We present an invariant definition of the hypoelliptic Laplacian on sub-Riemannian structures with constant growth vector, using the Popp's volume form introduced by Montgomery. Th…
Micro-Macro Modelling of an Array of Spheres Interacting Through Lubrication Forces
Aline Lefebvre-Lepot, Bertrand Maury, Aline Lefebvre
We consider here a discrete system of spheres interacting through a lubrication force. This force is dissipative, and singular near contact: it behaves like the reciprocal of inter…