{ "id": "1506.07626", "version": "v1", "published": "2015-06-25T06:31:46.000Z", "updated": "2015-06-25T06:31:46.000Z", "title": "Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half space", "authors": [ "Ling Wan", "Tao Wang", "Huijiang Zhao" ], "comment": "Contact tao.wang@whu.edu.cn for any comments. arXiv admin note: substantial text overlap with arXiv:1503.03922", "categories": [ "math.AP" ], "abstract": "We study the large-time behavior of solutions to the compressible Navier-Stokes equations for a viscous and heat-conducting ideal polytropic gas in the one-dimensional half-space. A rarefaction wave and its superposition with a non-degenerate stationary solution are shown to be asymptotically stable for the outflow problem with large initial perturbation and general adiabatic exponent.", "revisions": [ { "version": "v1", "updated": "2015-06-25T06:31:46.000Z" } ], "analyses": { "subjects": [ "35B35", "35B40", "35Q35", "76N10" ], "keywords": [ "half space", "wave patterns", "asymptotic stability", "heat-conducting gases", "compressible viscous" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150607626W" } } }