2019/06/13 by Daniel Han-Kwan, Han-Kwan, Daniel, Toan T. Nguyen +3
Mathematics · Engineering · #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #Lattice Boltzmann Simulation Studies
paper · pdf · doi:10.48550/arxiv.1906.05723
We revisit the proof of Landau damping near stable homogenous equilibria of\nVlasov-Poisson systems with screened interactions in the whole space\n\ℝd (for d\≥3) that was first established by Bedrossian,\nMasmoudi and Mouhot. Our proof follows a Lagrangian approach and relies on\nprecise pointwise in time dispersive estimates in the physical space for the\nlinearized problem that should be of independent interest. This allows to cut\ndown the smoothness of the initial data required in Bedrossian at al. (roughly,\nwe only need Lipschitz regularity). Moreover, the time decay estimates we prove\nare essentially sharp, being the same as those for free transport, up to a\nlogarithmic correction.\n