{ "id": "0904.3587", "version": "v1", "published": "2009-04-23T02:45:35.000Z", "updated": "2009-04-23T02:45:35.000Z", "title": "Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows", "authors": [ "Xianpeng Hu", "Dehua Wang" ], "categories": [ "math.AP", "math-ph", "math.MP" ], "abstract": "The three-dimensional equations of compressible magnetohydrodynamic isentropic flows are considered. An initial-boundary value problem is studied in a bounded domain with large data. The existence and large-time behavior of global weak solutions are established through a three-level approximation, energy estimates, and weak convergence for the adiabatic exponent $\\gamma>\\frac32$ and constant viscosity coefficients.", "revisions": [ { "version": "v1", "updated": "2009-04-23T02:45:35.000Z" } ], "analyses": { "subjects": [ "35Q36", "35D05", "76W05" ], "keywords": [ "compressible magnetohydrodynamic flows", "large-time behavior", "three-dimensional equations", "global existence", "constant viscosity coefficients" ], "tags": [ "journal article" ], "publication": { "doi": "10.1007/s00205-010-0295-9", "journal": "Archive for Rational Mechanics and Analysis", "year": 2010, "month": "Jul", "volume": 197, "number": 1, "pages": 203 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010ArRMA.197..203H" } } }