2 problems

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Conjecture on the lower threshold for weighted $L^2$ stability
Let $u0$ be the parameter in the Hermite-based trapezoidal discretization of the Vlasov–Poisson system, and consider stability measured in the weighted $L^2$ norm. **Weighted…
Conjectureopennumerical-analysis stability vlasov-poissonarXiv posted 2 days ago
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Nonlinear stability conjecture for gravitational steady states
Consider the three-dimensional gravitational Vlasov–Poisson system describing a stellar system subject to its own gravity. A steady state is a solution whose distribution function…
Conjecturesolvedgravitational-systems stability vlasov-poissonarXiv posted 2 days ago

Conjecture on the lower threshold for weighted L2L^2L2 stability