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Density Collapse and Gradient Catastrophe in a One-Dimensional Euler--Poisson--Cattaneo System
We study finite-time singularity formation for a one-dimensional Euler--Poisson system in Lagrangian coordinates with Cattaneo heat conduction and quadratic heat-flux corrections in the pressure and internal energy. Under the structural choice $κ=κ_0v$, two different breakdown mechanisms are obtaine
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