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The uniform boundedness and threshold for the global existence of the radial solution to a drift-diffusion system

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  • In this paper, we discuss the global existence and uniform boundedness of the radial solutions to the drift-diffusion system in two space dimension, which is derived from the simulation of semiconductor device design and self-interacting particles. It is shown that the time global existence and the uniform boundedness of the solution to the problem below the sharp threshold condition.
    Mathematics Subject Classification: Primary 35K15, 35K55, 35Q60; Secondary78A35.

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