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We establish the global-in-time existence of solutions of finiterelative-energy for the multidimensional compressible Euler-Poisson equationsfor plasma with doping profile for large initial data of spherical symmetry.Both the total initial energy and the initial mass are allowed to be {\itunbounded}, and the doping profile is allowed to be of large variation. This isachieved by adapting a class of degenerate density-dependent viscosity terms,so that a rigorous proof of the inviscid limit of global weak solutions of theNavier-Stokes-Poisson equations with the density-dependent viscosity terms tothe corresponding global solutions of the Euler-Poisson equations for plasmawith doping profile can be established. New difficulties arise when tacklingthe non-zero varied doping profile, which have been overcome by establishingsome novel estimates for the electric field terms so that the neutralityassumption on the initial data is avoided. In particular, we prove that noconcentration is formed in the inviscid limit for the finite relative-energysolutions of the compressible Euler-Poisson equations with large dopingprofiles in plasma physics.

Global Solutions of the Compressible Euler-Poisson Equations for Plasma with Doping Profile for Large Initial Data of Spherical Symmetry