A blow-up criterion of strong solutions to the 2D compressible magnetohydrodynamic equations

2015/01/22 by Teng Wang, Wang, Teng
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1501.05417

openalex publication_date 2015/01/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This paper establishes a blow-up criterion of strong solutions to the two-dimensional compressible magnetohydrodynamic (MHD) flows. The criterion depends on the density, but is independent of the velocity and the magnetic field. More precisely, once the strong solutions blow up, the L^∞-norm for the density tends to infinity. In particular, the vacuum in the solutions is allowed.

Citations

• Global well-posedness and large time asymptotic behavior of strong solutions to the 2-D compressible magnetohydrodynamic equations with vacuum

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