Mathematics (Feb 2024)

A Blow-Up Criterion for 3D Compressible Isentropic Magnetohydrodynamic Equations with Vacuum

  • Shujuan Wang,
  • Jialin Ren,
  • Rijian Su

DOI
https://doi.org/10.3390/math12050687
Journal volume & issue
Vol. 12, no. 5
p. 687

Abstract

Read online

In this paper, we investigate a blow-up criterion for compressible magnetohydrodynamic equations. It is shown that if density and velocity satisfy (∥ρ∥L∞(0,T;L∞)+∥u∥C([0,T];L3)∞), then the strong solutions to isentropic magnetohydrodynamic equations can exist globally over [0,T]. Notably, our analysis accommodates the presence of an initial vacuum.

Keywords