{ "id": "1401.5112", "version": "v2", "published": "2014-01-20T22:50:46.000Z", "updated": "2014-05-04T20:52:35.000Z", "title": "Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution", "authors": [ "Piotr Bogsław Mucha", "Milan Pokorný", "Ewelina Zatorska" ], "comment": "47 pages", "categories": [ "math.AP" ], "abstract": "We investigate a coupling between the compressible Navier-Stokes-Fourier system and the full Maxwell-Stefan equations. This model describes the motion of chemically reacting heat-conducting gaseous mixture. The viscosity coefficients are density-dependent functions vanishing on vacuum and the internal pressure depends on species concentrations. By several levels of approximation we prove the global-in-time existence of weak solutions on the three-dimensional torus.", "revisions": [ { "version": "v2", "updated": "2014-05-04T20:52:35.000Z" } ], "analyses": { "keywords": [ "weak solution", "multicomponent diffusion", "compressible mixtures", "reacting heat-conducting gaseous mixture", "construction" ], "note": { "typesetting": "TeX", "pages": 47, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1401.5112B" } } }