3 papers
math.AP2026
Diffusion stabilises time-periodic solutions in conservation laws coupled to a relaxation oscillator
Julien Barré, Nils Berglund, Hiroshi Horii
We study a viscous one-dimensional conservation law, coupled to a fast ordinary differential equation. For a vanishing viscosity, the system has an infinite-dimensional family of t…
nlin.PS2025
Universality of discontinuous bifurcations in collisionless dynamics
Yoshiyuki Y. Yamaguchi, Julien Barré
We investigate the universality in collisionless nonlinear dynamics of a codimension-two bifurcation where two eigenvalues collide at the origin, and two lines of continuous bifurc…
cond-mat.stat-mech2024
How general is the Jensen--Varadhan large deviation functional for 1D conservation laws?
Julien Barré, Ouassim Feliachi
Starting from a microscopic particle model whose hydrodynamic limit under hyperbolic space-time scaling is a 1D conservation law, we derive the large deviation rate function encodi…