3 problems

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Post-blow-up Dirac-measure and shock-wave conjecture for the pressureless Euler–Poisson system
Let $\rho$ and $u$ denote the density and velocity in the pressureless Euler–Poisson system, respectively, and let $T_\ast$ be the finite blow-up time. A measure-valued solution al…
Conjectureopendelta-shocks euler-poisson pressureless-eulerarXiv posted 2 days ago
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The degeneracy mechanism for formation of delta-shock waves
Consider the one-dimensional Chaplygin gas system discussed in the paper, with the smooth solution developing a first blowup at the point where the characteristic fields lose stric…
Conjectureopenchaplygin-gas delta-shocks hyperbolic-conservation-lawsarXiv posted 2 days ago
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The delta-shock conjecture for the p-system Riemann problem with vacuum
Delta-shock conjecture. Delta-shocks are needed to resolve the Riemann problem with vacuum.
Conjectureopendelta-shocks hyperbolic-conservation-laws vacuumarXiv posted 2 days ago

Post-blow-up Dirac-measure and shock-wave conjecture for the pressureless Euler–Poisson system