The Euler--Poisson system in 2D: global stability of the constant equilibrium solution
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🧮 math.AP
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constantsmoothsystembackgroundconsiderdevelopdimensionselectrons
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We consider the (repulsive) Euler-Poisson system for the electrons in two dimensions and prove that small smooth perturbations of a constant background exist for all time and remain smooth (never develop shocks). This extends to 2D the work of Guo.
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