output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2022 · math.APShow all

8 papers · 2 filters

math.AP2022

Hard-congestion limit of the p-system in the BV setting

Fabio Ancona, Roberta Bianchini, Charlotte Perrin

This note is concerned with the rigorous justification of the so-called hard congestion limit from a compressible system with singular pressure towards a mixed compressible-incompr…

math.AP2022★ 8 cited

On homogeneous Sobolev and Besov spaces on the whole and the half space

Anatole Gaudin

In this paper, we propose an elementary construction of homogeneous Sobolev spaces of fractional order on and . This construction completes the const…

math.AP2022

Adaptation in a heterogeneous environment II: To be three or not to be

M. Alfaro, F. Hamel, F. Patout +1

We propose a model to describe the adaptation of a phenotypically structured population in a -patch environment connected by migration, with each patch associated with a differe…

math.AP2022

On Some Model Problem for the Propagation of Interacting Species in a Special Environment

Michel Chipot, Mingmin Zhang

The purpose of this note is to study the existence of a nontrivial solution for an elliptic system which comes from a newly introduced mathematical problem so called Field-Road mod…

math.AP2022★ 1 cited

Bistable pulsating fronts in slowly oscillating environments *

Weiwei Ding, François Hamel, Xing Liang

We consider reaction-diffusion fronts in spatially periodic bistable media with large periods. Whereas the homogenization regime associated with small periods had been well studied…

math.AP2022★ 1 cited

Large deviations and the emergence of a logarithmic delay in a nonlocal linearised Fisher-KPP equation

Nathanaël Boutillon

We study a variant of the Fisher-KPP equation with nonlocal dispersal. Using the theory of large deviations, we show the emergence of a "Bramson-like" logarithmic delay for the lin…