{"paper":{"title":"Global well-posedness for the two dimensional compressible MHD equations with large data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Boling Guo, Dongfen Bian","submitted_at":"2012-04-25T10:21:18Z","abstract_excerpt":"In this paper we are concerned with the global well-posedness for the compressible MHD equations with large data. We show that if the shear viscosity $\\mu$ is a positive constant and the bulk viscosity $\\lambda$ is the power function of the density, that is, $\\lambda(\\rho)=\\rho^{\\beta}$ with $\\beta>3$, then the two dimensional compressible MHD system with the periodic boundary conditions on the torus $\\mathbb{T}^2$ have a unique global classical solution $(\\rho, u,H)$. In this work we extended the results about compressible Navier-Stokes equations in \\cite{Karzhikhov} to compressible MHD equat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5608","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}