output
20022026
most citedModel-based assessment of the Role of Uneven Partitioning of Molecular Content on Heterogeneity and Regulation of Differentiation in CD8 T-cell Immune Responses

397 citations

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math.AP2021

Mathematical Modeling of Cell Collective Motion Triggered By Self-Generated Gradients

Mete Demircigil, Vincent Calvez, Roxana Sublet

Self-generated gradients have atttracted a lot of attention in the recent biological literature. It is considered as a robust strategy for a group of cells to find its way during a…

math.AP2021

A note on "Existence and uniqueness of coexistence states for an elliptic system coupled in the linear part", by Hei Li-Jun, Nonlinear Anal. Real World Appl. 5, 2004

Léo Girardin

In this short paper I report on a paper published in Nonlinear Analysis: Real World Applications in 2004. There is a major mistake early in that paper which makes most of its claim…

math.AP2021

Relaxation limit of the aggregation equation with pointy potential

Benoît Fabrèges, Frédéric Lagoutière, Tran Tien +1

This work is devoted to the study of a relaxation limit of the so-called aggregation equation with a pointy potential in one dimensional space. The aggregation equation is by now w…

math.AP2021

Regularity and Symmetry for Semilinear Elliptic Equations in Bounded Domains

Louis Dupaigne, Alberto Farina

In the present paper, we investigate the regularity and symmetry properties of weak solutions to semilinear elliptic equations which are locally stable.

math.AP2021

Space-time resonances and high-frequency Raman instabilities in the two-fluid Euler-Maxwell system

Eric Dumas, Yong Lu, Benjamin Texier

We show that space-time resonances induce high-frequency Raman instabilities in the two-fluid Euler-Maxwell system describing laser-plasma interactions. A consequence is that the Z…

math.AP2021

Dispersive regularization for phase transitions

Federico Cacciafesta, Marta Strani, Benjamin Texier

We introduce a dispersive regularization of the compressible Euler equations in Lagrangian coordinates, in the one-dimensional torus. We assume a Van der Waals pressure law, which…