53 citations · 106 across the 8 of their papers we have counts for
8 papers
The dissipative Generalized Hydrodynamic equations and their numerical solution
Frederik Møller, Nicolas Besse, Igor E. Mazets +2
"Generalized Hydrodynamics" (GHD) stands for a model that describes one-dimensional \textit{integrable} systems in quantum physics, such as ultra-cold atoms or spin chains. Mathema…
Diffusion limit of the Vlasov equation in the weak turbulent regime
Claude Bardos, Nicolas Besse
In this paper we study the Hamiltonian dynamics of charged particles subject to a non-self-consistent stochastic electric field, when the plasma is in the so-called weak turbulent…
About the derivation of the quasilinear approximation in plasma physics
Claude Bardos, Nicolas Besse
This contribution, built on the companion paper [1], is focused on the different mathematical approaches available for the analysis of the quasilinear approximation in plasma physi…
Suppressing thermalization and constructing weak solutions in truncated inviscid equations of hydrodynamics: Lessons from the Burgers equation
Sugan D. Murugan, Uriel Frisch, Sergey Nazarenko +2
Finite-dimensional, inviscid equations of hydrodynamics, such as the zero-viscosity, one-dimensional Burgers equation or the three-dimensional incompressible Euler equation, obtain…
Onsager type conjecture and renormalized solutions for the relativistic Vlasov Maxwell system
Claude Bardos, Nicolas Besse, Toan T. Nguyen
In this paper we give a proof of an Onsager type conjecture on conservation of energy and entropies of weak solutions to the relativistic Vlasov--Maxwell equations. As concerns the…
Geometric formulation of the Cauchy invariants for incompressible Euler flow in flat and curved spaces
Nicolas Besse, Uriel Frisch
Cauchy invariants are now viewed as a powerful tool for investigating the Lagrangian structure of three-dimensional (3D) ideal flow (Frisch & Zheligovsky, Commun. Math. Phys., vol.…
A constructive approach to regularity of Lagrangian trajectories for incompressible Euler flow in a bounded domain
Nicolas Besse, Uriel Frisch
The 3D incompressible Euler equation is an important research topic in the mathematical study of fluid dynamics. Not only is the global regularity for smooth initial data an open i…
An adaptive numerical method for the Vlasov equation based on a multiresolution analysis
Nicolas Besse, Francis Filbet, Michael Gutnic +2
In this paper, we present very first results for the adaptive solution on a grid of the phase space of the Vlasov equation arising in particles accelarator and plasma physics. The…