Work

Behind the mirror: The hidden dissipative singular solutions of ideal reversible fluids on log-lattices

Year: 2025

Type: article

Abstract: We explore how efficiency, a measure of the energy stored in a flow, governs the transition from smooth, viscous dynamics to singular, inviscid ones. Using fluids on log-lattices within a reversible framework, we reveal self-similar blow-ups and their continuation beyond blow-up through stochastic friction. These post-blow-up states connect non-dissipative and dissipative regimes, offering a dynamical route to construct singular solutions of the Euler equations.

Source: Physical Review Fluids

DOI: 10.1103/xnd1-mtw4

Authors: Guillaume Costa, Amaury Barral, Adrien Lopez, Quentin Pikeroen, Berengere Dubrulle

Institutions: Centre National de la Recherche Scientifique, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Université Paris-Saclay

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Awards: Breaking the Kolmogorov Barrier, Time Irreversibility in Lagrangian Turbulence