Global Existence and Decay Rates for Both Isentropic and Nonisentropic 3D Compressible Hall‐Magneto‐Hydrodynamic Equations With Coulomb Force

ABSTRACT We study the two (isentropic and nonisentropic) 3D compressible Hall‐magneto‐hydrodynamic equations with Coulomb force in the whole space in this thesis. By means of assuming that the initial value is small enough under the norm, we use pure energy method to get the optimum decay rates of any order spatial derivatives of the solutions.