6 papers
Virial-based extraction of structures in numerical simulations: The vibes tool
Simon Chevalier, Fabien Louvet, Yann Bernard +9
The processes that determine the stellar initial mass function (IMF) and its connection to the core mass function (CMF) are among the major open questions in star formation. The de…
The Regularity of Critical Points to Scale-Invariant Curvature Energies in Dimension 4
Yann Bernard, Tian Lan, Dorian Martino +1
We consider a class of scale-invariant curvature energies defined on immersed -dimensional manifolds and prove that weak immersions that are critical points of such energies are…
Momentum-conserving self-gravity in the phantom smoothed particle hydrodynamics code. Parallel dual tree traversal for the symmetric fast multipole method
Yann Bernard, Timothée David-Cléris, Daniel J. Price +1
Tree codes that approximate groups of distant particles with multipole expansions are the standard way to accelerate the computation of self-gravity on particles. While momentum-co…
Structural Equations for Critical Points of Conformally Invariant Curvature Energies in 4d
Yann Bernard
This paper considers the Euler-Lagrange equations satisfied by the critical points of a large class of conformally invariant extrinsic energies for 4-manifolds immersed into Euclid…
Analysis of Critical Points of Conformally Invariant Curvature Energies in 4d
Yann Bernard
We discuss a large class of conformally invariant curvature energies for immersed hypersurfaces of dimension 4. The class under study includes various examples that have appeared i…
DAWN. I. Simulating the formation and early evolution of stellar clusters with Phantom N-Body
Yann Bernard, Estelle Moraux, Daniel J. Price +3
Context. Simulating stellar dynamics in a molecular cloud environment is numerically challenging due to the strong coupling between young stars and their surrounding gas, and the l…