3 papers
q-bio.QM2025
Novel reaction-diffusion PDE model for fingerprint-like pattern emergence via the Schnakenberg mechanism
Fabián Sepúlveda-Soto, Lucia Soto-Barrios, Carlos Román +1
Fingerprint analysis and fingerprint identification have been the most widely used tools for human identification. To this day, various models have been proposed to explain how fin…
math.AP2024
An improved spectral inequality for sums of eigenfunctions
Axel Osses, Faouzi Triki
We establish a new spectral inequality for the quantified estimation of the -norm, of a finite linear combination of eigenfunctions in a domain in terms of its -…
math.AP2023
An Open Waveguide with a Thin High Contrast Core Layer: Asymptotic Analysis and Inverse Detection Problem
Eric Bonnetier, Matias Courdurier, Axel Osses +1
We investigate the Helmholtz equation in a two dimensional open waveguide with a thin and high contrast core layer. We develop an asymptotic analysis of the Green function of the p…