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20022026
most citedThe Incompressible Navier-Stokes Limit of the Boltzmann Equation for Hard Cutoff Potentials

97 citations

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Showing 2019Show all

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math.AP2019

The Random Batch Method for -Body Quantum Dynamics

François Golse, Shi Jin, Thierry Paul

This paper discusses a numerical method for computing the evolution of large interacting system of quantum particles. The idea of the random batch method is to replace the total in…

math.AP2019★ 2 cited

Mean-Field and Classical Limit for the N-Body Quantum Dynamics with Coulomb Interaction

François Golse, Thierry Paul

This paper proves the validity of the joint mean-field and classical limit of the quantum -body dynamics leading to the pressureless Euler-Poisson system for factorized initial…

math.AP2019★ 32 cited

Asymptotic stability of equilibria for screened Vlasov-Poisson systems via pointwise dispersive estimates

Daniel Han-Kwan, Toan T. Nguyen, Frédéric Rousset

We revisit the proof of Landau damping near stable homogenous equilibria of Vlasov-Poisson systems with screened interactions in the whole space (for ) that…

math.AP2019★ 8 cited

Partial Regularity in Time for the Space Homogeneous Landau Equation with Coulomb Potential

François Golse, Maria Pia Gualdani, Cyril Imbert +1

We prove that the set of singular times for weak solutions of the space homogeneous Landau equation with Coulomb potential constructed as in [C. Villani, Arch. Rational Mech. Anal.…