MathDB2 problems
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Makino's conjecture on finite-time loss of tameness
A tame solution of the Euler–Poisson system with vacuum may be nonsymmetric. Makino's conjecture. Any tame solution, including a nonsymmetric tame solution, will become not tame af…
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Transverse stability of small-amplitude solitary waves in the three-dimensional Euler–Poisson system
The Euler–Poisson system admits small-amplitude solitary waves whose weakly transverse long-wave regime is described by the KP-II equation. Transverse-stability conjecture. Such so…