2011/05/31 by Song Jiang, Qiangchang Ju, Fucai Li
Mathematics · #Compressibility #Entropy (arrow of time) #Gas Dynamics and Kinetic Theory #Limit (mathematics) #Mach number #Magnetohydrodynamic drive #Magnetohydrodynamics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Thermal conduction #math.AP #msc:35B40 #msc:76W05
paper · pdf · doi:10.1088/0951-7715/25/5/1351
published as Nonlinearity 25 (2012),no.5, 1351-1365 · 19 pages. We revised our paper by following the referee's comments
openalex publication_date 2012/04/02 · arxiv created 2012/04/06 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The low Mach number limit for the multi-dimensional full magnetohydrodynamic (MHD) equations, in which the effect of thermal conduction is taken into account, is rigorously justified within the framework of classical solutions with small density and temperature variations.Moreover, we show that for a sufficiently small Mach number, the compressible MHD equations admit a smooth solution on the time interval where the smooth solution of the incompressible MHD equations exists.In addition, the low Mach number limit for the ideal MHD equations with small entropy variation is also investigated.The convergence rates are obtained in both cases.