2 problems
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Generic blow-up conjecture for the pressureless Euler–Poisson system
Consider solutions of the pressureless Euler–Poisson system, where is the density and is the velocity. A solution undergoes blow-up when its regul…
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Post-blow-up Dirac-measure and shock-wave conjecture for the pressureless Euler–Poisson system
Let and denote the density and velocity in the pressureless Euler–Poisson system, respectively, and let be the finite blow-up time. A measure-valued solution al…