{ "id": "1406.2016", "version": "v1", "published": "2014-06-08T19:22:55.000Z", "updated": "2014-06-08T19:22:55.000Z", "title": "Boundary problems for the one-dimensional kinetic equation with the collisional frequence proportional to the module velocity of molecules", "authors": [ "A. V. Latyshev", "A. A. Yushkanov" ], "comment": "33 pages, 7 figures. arXiv admin note: text overlap with arXiv:1404.4588", "categories": [ "math-ph", "math.MP" ], "abstract": "For the one-dimensional linear kinetic equations with collisional frequency of the molecules, proportional to the module velocity of molecules, analytical solutions of problems about temperature jump and weak evaporation (condensation) in rarefied gas are received. Quantities of temperature and concentration jumps are found. Distributions of concentration, mass velocity and temperature are constructed. Necessary numerical calculations and graphic researches are done.", "revisions": [ { "version": "v1", "updated": "2014-06-08T19:22:55.000Z" } ], "analyses": { "keywords": [ "collisional frequence proportional", "one-dimensional kinetic equation", "module velocity", "boundary problems", "one-dimensional linear kinetic equations" ], "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1406.2016L" } } }