From the 1 of 5.5k papers with an AI index.
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16 papers · 2 filters
A 2d spray model with gyroscopic effects
Ayman Moussa, Franck Sueur
In this paper we introduce a PDE system which aims at describing the dynamics of a dispersed phase of particles moving into an incompressible perfect fluid, in two space dimensions…
Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems
C. Le Bris, F. Legoll, F. Thomines
We establish a rate of convergence of the two scale expansion (in the sense of homogenization theory) of the solution to a highly oscillatory elliptic partial differential equation…
A General Inverse Problem for the Growth-Fragmentation Equation
Marie Doumic Jauffret, Leon M. Null Tine
The growth-fragmentation equation arises in many different contexts, ranging from cell division, protein polymerization, biopolymers, neurosciences etc. Direct observation of tempo…
Asymptotic behaviour of Green functions of divergence form operators with periodic coefficients
A. Anantharaman, X. Blanc, F. Legoll
This article is concerned with the asymptotic behaviour, at infinity and at the origin, of Green functions of operators of the form where is a…
Hyperbolic traveling waves driven by growth
Emeric Bouin, Vincent Calvez, Grégoire Nadin
We perform the analysis of a hyperbolic model which is the analog of the Fisher-KPP equation. This model accounts for particles that move at maximal speed ($ε\textgreater{…
Relaxation and self-sustained oscillations in the time elapsed neuron network model
Khashayar Pakdaman, Benoît Perthame, Delphine Salort
The time elapsed model describes the firing activity of an homogeneous assembly of neurons thanks to the distribution of times elapsed since the last discharge. It gives a mathemat…