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Structure of singularities for the Euler-Poisson system of ion dynamics

Structure of singularities for the Euler-Poisson system of ion dynamics

We study the formation of singularity for the isothermal Euler-Poisson system arising from plasma physics. Contrast to the previous studies yielding only limited information on the blow-up solutions, for instance, sufficient conditions for the blow-up and the temporal blow-up rate along the characteristic curve, we rather give a constructive proof …