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19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2023 · math.APShow all

15 papers · 2 filters

math.AP2023

Potential flows away from stagnation in infinite cylinders

François Hamel, Aram Karakhanyan

Steady incompressible potential flows of an inviscid or viscous fluid are considered in infinite N-dimensional cylinders with tangential boundary conditions. We show that such flow…

math.AP2023

Maximal regularity as a tool for partial differential equations

Sylvie Monniaux

In the last decades, a lot of progress has been made on the subject of maximal regularity. The property of maximal regularity is an a priori estimate and reads as follows: Fo…

math.AP2023★ 1 cited

The principal eigenvalue problem for a strongly anisotropic second-order elliptic operator

Nathanaël Boutillon

We consider an elliptic operator in which the second-order term is very small in one direction. In this regime, we study the behaviour of the principal eigenfunction and of the pri…

math.AP2023

Weak localization in radiative transfer of acoustic waves in a randomly-fluctuating slab

Adel Messaoudi, Régis Cottereau, Christophe Gomez

This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating slab (between two parallel planes) in the weak-scatterin…

math.AP2023

KPP transition fronts in a one-dimensional two-patch habitat

François Hamel, Mingmin Zhang

This paper is concerned with the existence of transition fronts for a one-dimensional twopatch model with KPP reaction terms. Density and flux conditions are imposed at the interfa…

math.AP2023★ 4 cited

Towards the optimality of the ball for the Rayleigh Conjecture concerning the clamped plate

Roméo Leylekian

In 1995, Nadirashvili and subsequently Ashbaugh and Benguria proved the Rayleigh Conjecture concerning the first eigenvalue of the bilaplacian with clamped boundary conditions in d…