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In this paper, we prove the global existence of strong solutions to thetwo-dimensional compressible MHD equations with density dependent viscositycoefficients (known as Kazhikhov-Vaigant model) on 2D solid balls witharbitrary large initial smooth data where shear viscosity $\mu$ being constantand the bulk viscosity $\lambda$ be a polynomial of density up to power$\beta$.  The global existence of the radially symmetric strong solutions wasestablished under Dirichlet boundary conditions for $\beta>1$. Moreover, aslong as $\beta\in (\max\{1,\frac{\gamma+2}{4}\},\gamma]$, the density is shownto be uniformly bounded with respect to time. This generalizes the previousresult of \cite{2022Li,2016Huang,2022Huang} of the compressible Navier-Stokesequations on 2D bounded domains where they require $\beta>4/3$ and alsoimproves the result of \cite{chen2022,2015Mei-1,2015Mei-2} of compressible MHDequations on 2D solid balls.

Global strong solutions to the radially symmetric compressible MHD equations in 2D solid balls with arbitrary large initial data