{ "id": "1706.07558", "version": "v1", "published": "2017-06-23T03:47:50.000Z", "updated": "2017-06-23T03:47:50.000Z", "title": "Smoothing effects and large time behavior of Two Species Landau equation", "authors": [ "Yu-Chu Lin", "Haitao Wang", "Kung-Chien Wu" ], "categories": [ "math-ph", "math.AP", "math.MP" ], "abstract": "We study the 1D Landau equation for a mixture of two species in the whole space, with initial condition of one species near a vacuum and the other near a Maxwellian equilibrium state. The regularization effect (in both the space and momentum variables) and large time behavior will be obtained. Moreover, the decay rate of the solution is optimal in both species.", "revisions": [ { "version": "v1", "updated": "2017-06-23T03:47:50.000Z" } ], "analyses": { "keywords": [ "large time behavior", "species landau equation", "smoothing effects", "1d landau equation", "maxwellian equilibrium state" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }