output
19962026
most citedThe hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

1k citations

1,113 papers

math.NA2026

A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations

Denise Aregba-Driollet, Thomas Bellotti, Roberto Natalini +1

We introduce a second-order accurate vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes system, inspired by a discrete-velocity kinetic approximation proposed…

math.NA2026

Analysis and structure-preserving discretization of the Heat-GLM system

Firas Dhaouadi, Laura Río-Martín, Michael Dumbser

In this paper, we study a prototype hyperbolic system arising from the coupling of Generalized-Lagrangian-Multiplier (GLM) curl-cleaning with linear acoustics. We first show that,…

math.AP2026

Convergence of a two-relaxation-times kinetic approximation towards the solution of a scalar conservation law

Denise Aregba-Driollet, Thomas Bellotti

We introduce a two-relaxation-times (TRT) kinetic approximation for scalar non-linear conservation laws in one space dimension, addressing the convergence of relaxation approximati…

quant-ph2026

Markovian dynamics of single-rebit open quantum systems with applications to colour perception

Michel Berthier, Gabriel Niebel, Edoardo Provenzi

This paper investigates the Markovian dynamics of open two-state quantum systems defined over the real numbers (rebits). Two main objectives are pursued. First, we present a compre…

math.AP2026

Slow-fast system in Rosales-Majda combustion model with fractional order kinetics

Claude-Michel Brauner, Jinlong Jing, Robert Roussarie

We consider traveling wave solutions of a one-dimensional model for detonation waves derived by Rosales and Majda, when the reaction order belongs to . The chemical kine…

cs.CV2026

HOT-POT: Optimal Transport for Sparse Stereo Matching

Antonin Clerc, Michael Quellmalz, Moritz Piening +3

Stereo vision between images faces a range of challenges, including occlusions, motion, and camera distortions, across applications in autonomous driving, robotics, and face analys…