output
19972026
most citedWhy many theories of shock waves are necessary. Convergence error in formally path-consistent schemes

250 citations

1,247 papers

math.AP2026

Asymptotic expansion of the voltage potential under small Robin perturbations of its boundary conditions

Eric Bonnetier, Charles Dapogny, Roman Moskalenko

Inspired by questions related to inverse problems and shape optimization, we derive an asymptotic expansion of the voltage potential, solution to a model elliptic second-order part…

math.AP2026

Multiscale analysis of a kinetic equation for mechanotaxis

Benoît Perthame, Francesco Salvarani, Shugo Yasuda

We present a new kinetic equation for cell migration driven by mechanical interactions with the substrate, an effect not previously captured in kinetic models, and essential for ex…

physics.plasm-ph2025★ 3 cited

Breaking seed dormancy in Mediterranean Brassica rapa wild populations: is cold plasma treatment efficient?

M. H. Wagner, T. Dufour, A. Geraci +11

Turnip (Brassica rapa) is a native species of the Mediterranean area, spread from northwest France to south Algeria. In this study, dormancy and germination traits were assessed fo…

math.AP2025★ 5 cited

A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions

Matthieu Bonnivard, Igor Pažanin, Francisco J. Suárez-Grau

Inspired by the lubrication framework, in this paper we consider a micropolar fluid flow through a rough thin domain, whose thickness is considered as the small parameter $\varepsi…

math.AP2025

Quantitative rigidity of the Wasserstein contraction under convolution

Max Fathi, Michael Goldman, Daniel Tsodyks

The aim of this paper is to investigate the contraction properties of -Wasserstein distances with respect to convolution in Euclidean spaces both qualitatively and quantitativel…

math.AP2025

On a relaxed Cahn-Hilliard tumour growth model with single-well potential and degenerate mobility

Cecilia Cavaterra, Matteo Fornoni, Maurizio Grasselli +1

We consider a phase-field system modelling solid tumour growth. This system consists of a Cahn-Hilliard equation coupled with a nutrient equation. The former is characterised by a…