From the 1 of 5.5k papers with an AI index.
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9 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…
Boundary Value Problem for an Oblique Paraxial Model of Light Propagation
Marie Doumic Jauffret
We study the Schrödinger equation which comes from the paraxial approximation of the Helmholtz equation in the case where the direction of propagation is tilted with respect to the…
What is the optimal shape of a pipe?
Antoine Henrot, Yannick Privat
We consider an incompressible fluid in a three-dimensional pipe, following the Navier-Stokes system with classical boundary conditions. We are interested in the following question:…
Analysis of a Population Model Structured by the Cells Molecular Content
Marie Doumic Jauffret
We study the mathematical properties of a general model of cell division structured with several internal variables. We begin with a simpler and specific model with two variables,…
Analytical Solution for Wave Propagation in Stratified Acoustic/Porous Media. Part II: the 3D Case
Julien Diaz, Abdelaâziz Ezziani
We are interested in the modeling of wave propagation in an infinite bilayered acoustic/poroelastic media. We consider the biphasic Biot's model in the poroelastic layer. The first…
Analytical Solution for Wave Propagation in Stratified Poroelastic Medium. Part II: the 3D Case
Julien Diaz, Abdelaâziz Ezziani
We are interested in the modeling of wave propagation in poroelastic media. We consider the biphasic Biot's model in an infinite bilayered medium with a plane interface. We adopt t…