Institut de Mathématiques de Marseille

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19972026

most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2018 · math.APShow all

4 papers · 2 filters

math.AP2018

Compression Effects in Heterogeneous Media

D. Bresch, S. Necasova, C. Perrin

We study in this paper compression effects in heterogeneous media with maximal packing constraint. Starting from compressible Brinkman equations, where maximal packing is encoded i…

math.AP2018★ 19 cited

Control of the Grushin equation: non-rectangular control region and minimal time

Michel Duprez, Armand Koenig

This paper is devoted to the study of the internal null-controllability of the Grushin equation. We determine the minimal time of controllability for a large class of non-rectangul…

math.AP2018★ 18 cited

Estimating the division rate and kernel in the fragmentation equation

Marie Doumic, Miguel Escobedo, Magali Tournus

We consider the fragmentation equation $\frac{\partial}{\partial t} f (t, x) = - - B (x) f (t, x) + \int_y = x^{y = \infty} k (y, x) B (y) f (t, y) d y,$ and address the question of estimat…

math.AP2018★ 4 cited

A-priori bounds for a quasilinear problem in critical dimension

Giulio Romani

We establish uniform a-priori bounds for solutions of the quasilinear problem $- Δ_{N} u = f (u)$ in $Ω$ , with $u = 0$ on $\partial Ω$ , where $Ω \subset R^{N}$ is a bounded smooth and c…