2008/04/29 by Xianpeng Hu, Dehua Wang · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Boundary value problem #Bounded function #Compressibility #Convergence (economics) #Domain (mathematical analysis) #Magnetic field #Magnetohydrodynamic drive #Magnetohydrodynamics #Mathematical analysis #Mathematics #Mechanics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Physics #Thermodynamics #Viscosity #Weak solution #math-ph #math.AP #math.MP #msc:35D05 #msc:35Q36 #msc:76W05
paper · pdf · doi:10.1007/s00220-008-0497-2
arxiv created 2008/04/29 · openalex publication_date 2008/05/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The equations of the three-dimensional viscous, compressible, and heat conducting magnetohydrodynamic flows are considered in a bounded domain. The viscosity coefficients and heat conductivity can depend on the temperature. A solution to the initial-boundary value problem is constructed through an approximation scheme and a weak convergence method. The existence of a global variational weak solution to the three-dimensional full magnetohydrodynamic equations with large data is established.