3 problems

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Waiting-time conjecture for the onset of physical vacuum in 1D compressible Euler flow
Waiting-time conjecture. When $\alpha=1$ , the boundary behavior $c\sim x$ should, after some time, cease to persist; the boundary should then start moving and attain the physical v…
Conjectureopencompressible-euler free-boundary-problems physical-vacuumarXiv posted 2 days ago
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Eventual physical-vacuum formation for initially nonphysical vacuum boundaries
Consider a vacuum free-boundary problem with specific enthalpy $h$ and vacuum boundary $x=b(t)$ . The physical vacuum condition is … In the case where the initial boundary behavior…
Conjectureopengas-dynamics physical-vacuum vacuum-free-boundariesarXiv posted 2 days ago
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Long-time porous-medium behavior conjecture for damped Euler equations
Consider the compressible Euler equations with damping, denoted by, and let the canonical boundary be characterized by the physical vacuum boundary condition. Long-time behavior co…
Conjecturesolvedcompressible-euler-equations physical-vacuum porous-medium-equationarXiv posted 2 days ago

Waiting-time conjecture for the onset of physical vacuum in 1D compressible Euler flow