2009/03/19 by Xiangdi Huang, Zhouping Xin · 101 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Classical mechanics #Compressibility #Compressible flow #Flow (mathematics) #Geometric Analysis and Curvature Flows #Ideal (ethics) #Incompressible flow #Mathematical analysis #Mathematics #Mechanics #Navier-Stokes equation solutions #Navier–Stokes equations #Physics #math-ph #math.MP #msc:35Q30
paper · pdf · doi:10.1007/s11425-010-0042-6
published in Science China Mathematics 53(3), 671-686 (Springer Nature) · 25 pages
arxiv created 2009/03/19 · openalex publication_date 2010/03/01 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we obtain a blow up criterion for classical solutions to the 3-D compressible Naiver-Stokes equations just in terms of the gradient of the velocity, similar to the Beal-Kato-Majda criterion for the ideal incompressible flow. In addition, initial vacuum is allowed in our case.