Nonlinear Landau damping and asymptotic stability are established for translation-invariant Hartree-Fock equilibria with off-diagonal exchange in R^d for d at least 3.
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An adaptive Hermite spectral method for Vlasov-Poisson that dynamically rescales the basis via a frequency indicator and a conservative projection operator to handle filamentation while preserving invariants.
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Asymptotic Stability of Hartree--Fock Homogenous Equilibria in $\mathbb{R}^d$
Nonlinear Landau damping and asymptotic stability are established for translation-invariant Hartree-Fock equilibria with off-diagonal exchange in R^d for d at least 3.
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Solving Vlasov-Poisson system with an adaptive Hermite spectral method
An adaptive Hermite spectral method for Vlasov-Poisson that dynamically rescales the basis via a frequency indicator and a conservative projection operator to handle filamentation while preserving invariants.